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stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p58827f1132)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p58827f1132)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -721,72 +721,72 @@ L 234 106.329057 - - +" clip-path="url(#pf5596afeb1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf5596afeb1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf5596afeb1)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -805,72 +805,72 @@ L 234 122.250566 - - +" clip-path="url(#p85377cdc95)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p85377cdc95)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p85377cdc95)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -889,72 +889,72 @@ L 234 138.172075 - - +" clip-path="url(#p8c2723d615)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p8c2723d615)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p8c2723d615)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -973,72 +973,72 @@ L 234 154.093585 - - +" clip-path="url(#p30795d8e2e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p30795d8e2e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p30795d8e2e)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1057,72 +1057,72 @@ L 234 170.015094 - - +" clip-path="url(#p25d5b2b308)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p25d5b2b308)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p25d5b2b308)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1141,72 +1141,72 @@ L 234 185.936604 - - +" clip-path="url(#p4ec63535bf)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4ec63535bf)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4ec63535bf)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1225,72 +1225,72 @@ L 234 201.858113 - - +" clip-path="url(#p7d8e7300fd)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7d8e7300fd)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7d8e7300fd)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1309,72 +1309,72 @@ L 234 217.779623 - - +" clip-path="url(#p0fff57a20e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0fff57a20e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0fff57a20e)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1389,76 +1389,74 @@ L 234 233.701132 - - - + - - +" clip-path="url(#pda1254ca5c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pda1254ca5c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pda1254ca5c)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1467,82 +1465,75 @@ L 234 249.622642 - - - - - - - - - + + - - +" clip-path="url(#p54d5b1cd3f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p54d5b1cd3f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p54d5b1cd3f)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1551,82 +1542,80 @@ L 234 265.544151 - - - - - - - - - + + + + + + + - - +" clip-path="url(#pdb5cc27f2f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pdb5cc27f2f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pdb5cc27f2f)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1635,82 +1624,75 @@ L 234 281.46566 - - - - - - - - - + + - - +" clip-path="url(#p63f6d45903)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p63f6d45903)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p63f6d45903)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1719,82 +1701,80 @@ L 234 297.38717 - - - - - - - - - + + + + + + + - - +" clip-path="url(#p5cc87ab6f2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5cc87ab6f2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5cc87ab6f2)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1803,82 +1783,75 @@ L 234 313.308679 - - - - - - - - - + + - - +" clip-path="url(#pec9f60132d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pec9f60132d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pec9f60132d)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1887,82 +1860,80 @@ L 234 329.230189 - - - - - - - - - + + + + + + + - - +" clip-path="url(#p64b67fa26d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p64b67fa26d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p64b67fa26d)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -1971,82 +1942,75 @@ L 234 345.151698 - - - - - - - - - + + - - +" clip-path="url(#p16e31709c0)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p16e31709c0)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p16e31709c0)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2055,82 +2019,80 @@ L 234 361.073208 - - - - - - - - - + + + + + + + - - +" clip-path="url(#p286d35fa19)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p286d35fa19)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p286d35fa19)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2139,82 +2101,75 @@ L 234 376.994717 - - - - - - - - - + + - - +" clip-path="url(#p298c8860f1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p298c8860f1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p298c8860f1)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2223,82 +2178,80 @@ L 234 392.916226 - - - - - - - - - + + + + + + + - - +" clip-path="url(#peff46441cd)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#peff46441cd)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#peff46441cd)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2307,82 +2260,75 @@ L 234 408.837736 - - - - - - - - - + + - - +" clip-path="url(#pf5783348d6)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf5783348d6)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf5783348d6)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2391,82 +2337,80 @@ L 234 424.759245 - - - - - - - - - + + + + + + + - - +" clip-path="url(#pb11423453b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb11423453b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb11423453b)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2475,82 +2419,75 @@ L 234 440.680755 - - - - - - - - - + + - - +" clip-path="url(#p36a2e4ce5a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p36a2e4ce5a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p36a2e4ce5a)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2559,82 +2496,74 @@ L 234 456.602264 - - - - - - - - - + - - +" clip-path="url(#p69806e25d1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p69806e25d1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p69806e25d1)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2643,82 +2572,79 @@ L 234 472.523774 - - - - - - - - - + + + + + + - - +" clip-path="url(#pc3edb78238)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pc3edb78238)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pc3edb78238)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2727,82 +2653,75 @@ L 234 488.445283 - - - - - - - - - + + - - +" clip-path="url(#p3b0db850f7)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3b0db850f7)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3b0db850f7)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2811,82 +2730,74 @@ L 234 504.366792 - - - - - - - - - + - - +" clip-path="url(#p4e727f8679)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4e727f8679)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4e727f8679)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2895,74 +2806,79 @@ L 234 520.288302 - + + + + + + - - +" clip-path="url(#p55211bd53a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p55211bd53a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p55211bd53a)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -2971,81 +2887,75 @@ L 280.8 520.288302 - - - - - - - - + + - - +" clip-path="url(#p9d74afec14)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9d74afec14)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9d74afec14)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3054,74 +2964,74 @@ L 234 536.209811 - + - - +" clip-path="url(#pbf4350e410)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pbf4350e410)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pbf4350e410)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3130,81 +3040,79 @@ L 280.8 536.209811 - - - - - - - - + + + + + + - - +" clip-path="url(#pa3799c1f4d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa3799c1f4d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa3799c1f4d)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3213,74 +3121,74 @@ L 234 552.131321 - + - - +" clip-path="url(#pb688958a54)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb688958a54)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb688958a54)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3289,81 +3197,74 @@ L 280.8 552.131321 - - - - - - - - + - - +" clip-path="url(#pe240fefacc)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe240fefacc)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe240fefacc)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3372,74 +3273,74 @@ L 234 568.05283 - + - - +" clip-path="url(#p3de3400257)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3de3400257)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3de3400257)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3448,80 +3349,79 @@ L 280.8 568.05283 - - - - - - - + + + + + + - - +" clip-path="url(#pe88860486c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe88860486c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe88860486c)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3530,74 +3430,74 @@ L 187.2 583.97434 - + - - +" clip-path="url(#p484d8e40ef)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p484d8e40ef)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p484d8e40ef)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3606,74 +3506,74 @@ L 234 583.97434 - + - - +" clip-path="url(#p70dafd8f12)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p70dafd8f12)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p70dafd8f12)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3682,80 +3582,74 @@ L 280.8 583.97434 - - - - - - - + - - +" clip-path="url(#p3443672fd2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3443672fd2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3443672fd2)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3764,74 +3658,74 @@ L 187.2 599.895849 - + - - +" clip-path="url(#p4ee8da11a4)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4ee8da11a4)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4ee8da11a4)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3840,74 +3734,74 @@ L 234 599.895849 - + - - +" clip-path="url(#p78f93e7989)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p78f93e7989)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p78f93e7989)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3916,80 +3810,76 @@ L 280.8 599.895849 - - - - - - - + + + - - +" clip-path="url(#pf0d7a775c1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf0d7a775c1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf0d7a775c1)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -3998,74 +3888,74 @@ L 187.2 615.817358 - + - - +" clip-path="url(#p2f7a5a7876)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p2f7a5a7876)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p2f7a5a7876)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4074,74 +3964,74 @@ L 234 615.817358 - + - - +" clip-path="url(#ped3ac1982d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#ped3ac1982d)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#ped3ac1982d)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4150,80 +4040,74 @@ L 280.8 615.817358 - - - - - - - + - - +" clip-path="url(#p5716f627ff)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5716f627ff)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5716f627ff)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4232,74 +4116,74 @@ L 187.2 631.738868 - + - - +" clip-path="url(#pf2d702651a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf2d702651a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf2d702651a)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4308,74 +4192,74 @@ L 234 631.738868 - + - - +" clip-path="url(#p231896ea38)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p231896ea38)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p231896ea38)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4384,80 +4268,74 @@ L 280.8 631.738868 - - - - - - - + - - +" clip-path="url(#pf880fbca7b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf880fbca7b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pf880fbca7b)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4466,74 +4344,76 @@ L 187.2 647.660377 - + + + - - +" clip-path="url(#p9ee3c5bbfb)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9ee3c5bbfb)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9ee3c5bbfb)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4542,74 +4422,74 @@ L 234 647.660377 - + - - +" clip-path="url(#p4d63b407f2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4d63b407f2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p4d63b407f2)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4618,80 +4498,74 @@ L 280.8 647.660377 - - - - - - - + - - +" clip-path="url(#p75e1aa8a3b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p75e1aa8a3b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p75e1aa8a3b)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4700,74 +4574,74 @@ L 187.2 663.581887 - + - - +" clip-path="url(#p76776319cb)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p76776319cb)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p76776319cb)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4776,74 +4650,74 @@ L 234 663.581887 - + - - +" clip-path="url(#pd64f4457af)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pd64f4457af)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pd64f4457af)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4852,80 +4726,74 @@ L 280.8 663.581887 - - - - - - - + - - +" clip-path="url(#p03887f1583)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p03887f1583)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p03887f1583)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -4934,74 +4802,74 @@ L 187.2 679.503396 - + - - +" clip-path="url(#pfed3e4c0a4)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pfed3e4c0a4)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pfed3e4c0a4)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5010,74 +4878,76 @@ L 234 679.503396 - + + + - - +" clip-path="url(#p63f01fa6e0)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p63f01fa6e0)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p63f01fa6e0)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5086,80 +4956,74 @@ L 280.8 679.503396 - - - - - - - + - - +" clip-path="url(#p75a5f7d5f9)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p75a5f7d5f9)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p75a5f7d5f9)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5168,74 +5032,74 @@ L 187.2 695.424906 - + - - +" clip-path="url(#pfe0fe7d302)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pfe0fe7d302)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pfe0fe7d302)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5244,74 +5108,74 @@ L 234 695.424906 - + - - +" clip-path="url(#p7c01d5f2b3)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7c01d5f2b3)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7c01d5f2b3)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5320,80 +5184,74 @@ L 280.8 695.424906 - - - - - - - + - - +" clip-path="url(#p3373a1b25a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3373a1b25a)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p3373a1b25a)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5402,74 +5260,74 @@ L 187.2 711.346415 - + - - +" clip-path="url(#p0abaa276db)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0abaa276db)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0abaa276db)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5478,74 +5336,74 @@ L 234 711.346415 - + - - +" clip-path="url(#pad09c6e523)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pad09c6e523)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pad09c6e523)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5554,80 +5412,76 @@ L 280.8 711.346415 - - - - - - - + + + - - +" clip-path="url(#pcd259a5d2f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pcd259a5d2f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pcd259a5d2f)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5636,74 +5490,74 @@ L 187.2 727.267925 - + - - +" clip-path="url(#pe4529d5e0c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe4529d5e0c)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pe4529d5e0c)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5712,74 +5566,74 @@ L 234 727.267925 - + - - +" clip-path="url(#p7288034177)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7288034177)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p7288034177)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5788,80 +5642,74 @@ L 280.8 727.267925 - - - - - - - + - - +" clip-path="url(#pa8380fc050)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa8380fc050)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa8380fc050)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5870,74 +5718,74 @@ L 187.2 743.189434 - + - - +" clip-path="url(#p39e8a45e1e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p39e8a45e1e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p39e8a45e1e)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -5946,74 +5794,74 @@ L 234 743.189434 - + - - +" clip-path="url(#pa41e5951f3)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa41e5951f3)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa41e5951f3)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6022,80 +5870,74 @@ L 280.8 743.189434 - - - - - - - + - - +" clip-path="url(#p62af5a3017)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p62af5a3017)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p62af5a3017)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6104,74 +5946,75 @@ L 187.2 759.110943 - + + - +" style="fill: #666666"/> - +" clip-path="url(#pa70e9a5678)" style="fill: #999999; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa70e9a5678)" style="fill: #999999; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa70e9a5678)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6180,74 +6023,74 @@ L 234 759.110943 - + - - +" clip-path="url(#pb289550025)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb289550025)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pb289550025)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6256,79 +6099,74 @@ L 280.8 759.110943 - - - - - - + - - +" clip-path="url(#p78826f218f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p78826f218f)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p78826f218f)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6337,74 +6175,74 @@ L 140.4 775.032453 - + - - +" clip-path="url(#pc56fc947ca)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pc56fc947ca)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pc56fc947ca)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6413,74 +6251,74 @@ L 187.2 775.032453 - + - - +" clip-path="url(#p5fe5d50cef)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5fe5d50cef)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p5fe5d50cef)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6489,74 +6327,74 @@ L 234 775.032453 - + - - +" clip-path="url(#pdaa9a6550e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pdaa9a6550e)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pdaa9a6550e)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6565,79 +6403,74 @@ L 280.8 775.032453 - - - - - - + - - +" clip-path="url(#p052004f516)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p052004f516)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p052004f516)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6646,74 +6479,74 @@ L 140.4 790.953962 - + - - +" clip-path="url(#p0d445636d1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0d445636d1)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p0d445636d1)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6722,74 +6555,75 @@ L 187.2 790.953962 - + + - +" style="fill: #666666"/> - +" clip-path="url(#pa510b1e87d)" style="fill: #999999; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa510b1e87d)" style="fill: #999999; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#pa510b1e87d)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6798,74 +6632,74 @@ L 234 790.953962 - + - - +" clip-path="url(#p810396a3e2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p810396a3e2)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p810396a3e2)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6874,79 +6708,74 @@ L 280.8 790.953962 - - - - - - + - - +" clip-path="url(#p331a47ea55)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p331a47ea55)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p331a47ea55)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -6955,74 +6784,74 @@ L 140.4 806.875472 - + - - +" clip-path="url(#p9b98840f2b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9b98840f2b)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p9b98840f2b)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -7031,74 +6860,74 @@ L 187.2 806.875472 - + - - +" clip-path="url(#p2041f96efa)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p2041f96efa)" style="fill: #1f77b4; stroke: #000000; stroke-width: 0.4; stroke-linejoin: miter"/> - +" clip-path="url(#p2041f96efa)" style="fill: #ffe5cf"/> - + - + - - - - - + @@ -7107,74 +6936,74 @@ L 234 806.875472 - + - - +" clip-path="url(#pe96098a764)" style="fill: #1f77b4; 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Miniature histograms are arranged into a larger histogram according to their sample average. @@ -29,7 +29,7 @@ If we repeatedly flip a coin *400* times, we can expect the sample proportion to ```{figure} images/bernoulliCLT2.svg --- -width: 50% +width: 35% name: bernoulliCLT2 --- Each miniature histogram reflects $n=400$ coin flips where $p=0.2$. Miniature histograms are arranged into a larger histogram according to their sample average. @@ -66,15 +66,15 @@ Let's return to the simulated data with $p=0.2$, in {numref}`bernoulliCLT` and { ```{figure} images/bernoulliCLTwCI.svg --- -width: 50% +width: 33% name: bernoulliCLTwCI --- -Each miniature histogram reflects $n=100$ coin flips where $p=0.2$. Orange bands reflect a 95% confidence interval. Grayed out histograms are those where the confidence interval misses the true parameter. +Each miniature histogram reflects $n=100$ coin flips where $p=0.2$. Grayed out histograms are those where the confidence interval misses the true parameter. ``` ```{figure} images/bernoulliCLT2wCI.svg --- -width: 50% +width: 33% name: bernoulliCLT2wCI --- Each miniature histogram reflects $n=400$ coin flips where $p=0.2$. Grayed out histograms are those where the confidence interval misses the true parameter. diff --git a/book/_build/html/confidenceintervals.html b/book/_build/html/confidenceintervals.html index bf1e97c..47e4a34 100644 --- a/book/_build/html/confidenceintervals.html +++ b/book/_build/html/confidenceintervals.html @@ -456,14 +456,14 @@

The Accuracy of Percentages\(0.2\pm 2\times 0.04\) for 95% of the repetitions, where 0.04 is the SE for the proportion.

-_images/bernoulliCLT.svg +_images/bernoulliCLT.svg

Fig. 49 Each miniature histogram reflects \(n=100\) coin flips where \(p=0.2\). Miniature histograms are arranged into a larger histogram according to their sample average.#

If we repeatedly flip a coin 400 times, we can expect the sample proportion to be in the interval \(0.2\pm 2\times 0.02\) for 95% of the repetitions, where 0.02 is the SE for the proportion.

-_images/bernoulliCLT2.svg +_images/bernoulliCLT2.svg

Fig. 50 Each miniature histogram reflects \(n=400\) coin flips where \(p=0.2\). Miniature histograms are arranged into a larger histogram according to their sample average.#

@@ -488,13 +488,13 @@

Interpretation of a Confidence Interval\(p\). Our sample is random and thus randomness is manifested in \(\hat{p}\) instead. With \(p\) nonrandom, we can’t make probabilistic statement like \(p\) is in a 95% confidence interval with 95% probability. Relying on probabilities being long-run frequencies instead, we say that if we were to construct many samples and thus many 95% confidence intervals, about 95% of the intervals would contain the true parameter.

Let’s return to the simulated data with \(p=0.2\), in Fig. 49 and Fig. 50. Each miniature histogram is a sample and most of the sample means are not equal to 0.2. However, 95% confidence intervals can be found for each. Indeed, for 95 of 100 of the simulated samples, the confidence interval would cover the true parameter.

-_images/bernoulliCLTwCI.svg +_images/bernoulliCLTwCI.svg
-

Fig. 51 Each miniature histogram reflects \(n=100\) coin flips where \(p=0.2\). Orange bands reflect a 95% confidence interval. Grayed out histograms are those where the confidence interval misses the true parameter.#

+

Fig. 51 Each miniature histogram reflects \(n=100\) coin flips where \(p=0.2\). Grayed out histograms are those where the confidence interval misses the true parameter.#

-_images/bernoulliCLT2wCI.svg +_images/bernoulliCLT2wCI.svg

Fig. 52 Each miniature histogram reflects \(n=400\) coin flips where \(p=0.2\). Grayed out histograms are those where the confidence interval misses the true parameter.#

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Miniature histograms are arranged into a larger histogram according to their sample average. @@ -29,7 +29,7 @@ If we repeatedly flip a coin *400* times, we can expect the sample proportion to ```{figure} images/bernoulliCLT2.svg --- -width: 50% +width: 35% name: bernoulliCLT2 --- Each miniature histogram reflects $n=400$ coin flips where $p=0.2$. Miniature histograms are arranged into a larger histogram according to their sample average. @@ -66,7 +66,7 @@ Let's return to the simulated data with $p=0.2$, in {numref}`bernoulliCLT` and { ```{figure} images/bernoulliCLTwCI.svg --- -width: 50% +width: 33% name: bernoulliCLTwCI --- Each miniature histogram reflects $n=100$ coin flips where $p=0.2$. Grayed out histograms are those where the confidence interval misses the true parameter. @@ -74,7 +74,7 @@ Each miniature histogram reflects $n=100$ coin flips where $p=0.2$. 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a/helpers/confidenceIntervalHelper.ipynb +++ b/helpers/confidenceIntervalHelper.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "5f183426", + "id": "1b67aa50", "metadata": {}, "outputs": [], "source": [ @@ -20,7 +20,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "488e0f22", + "id": "ddf9d2a1", "metadata": { "scrolled": true }, @@ -41,7 +41,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "135639e4", + "id": "edad1be4", "metadata": {}, "outputs": [], "source": [ @@ -79,7 +79,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "4556047a", + "id": "3d14dbc5", "metadata": {}, "outputs": [ { @@ -151,7 +151,7 @@ }, { "cell_type": "markdown", - "id": "06802f15", + "id": "251d4681", "metadata": {}, "source": [ "### confidence intervals" @@ -160,7 +160,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "7eebe8d7", + "id": "ab8a3f37", "metadata": {}, "outputs": [], "source": [ @@ -176,7 +176,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "8b89a140", + "id": "9d5f52cd", "metadata": {}, "outputs": [ { @@ -274,7 +274,7 @@ }, { "cell_type": "markdown", - "id": "a457a765", + "id": "8f4b9d29", "metadata": {}, "source": [ "# Repeat with more draws" @@ -283,7 +283,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "581eecdf", + "id": "ee7526b8", "metadata": {}, "outputs": [], "source": [ @@ -318,10 +318,21 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "b941b0fd", + "execution_count": 8, + "id": "9c2d3c2e", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig, axs = plt.subplots(max_cat_freq,\n", " n_cats,\n", @@ -380,10 +391,21 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "4f585208", + "execution_count": 9, + "id": "3abf52a2", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(0.04, 0.8)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# SEs\n", "np.sqrt(p*(1-p)/100), np.sqrt(400*p*(1-p)/100)" @@ -391,7 +413,7 @@ }, { "cell_type": "markdown", - "id": "d6ad843e", + "id": "d702924f", "metadata": {}, "source": [ "#### confidence intervals" @@ -399,10 +421,21 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "47a7aeed", + "execution_count": 10, + "id": "256821ec", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig, axs = plt.subplots(max_cat_freq,\n", " n_cats,\n", @@ -486,7 +519,7 @@ { "cell_type": "code", "execution_count": null, - "id": "b7d7593e", + "id": "eebde864", "metadata": {}, "outputs": [], "source": []