Political Correlation II

mark

(10 pts)

In this problem, we're going to investigate the following question: How is the statewide proportion of Democratic votes for the US House related to the proportion of Democratic seats for that state?

In 2016, for example, $46.6%$ of the state votes for the US Congress went to Democrats statewide, but they received only $23.1%$ of the seats. I suppose that's a result of gerrymandering. How did things look nationwide in that election?

To address the question, open up this COLAB notebook. After perusing the notebook, generate a random sample from the data set with 8 rows. Then answer the following questions for your sample:

• What states did you investigate?
• What is the correlation between the two proportions for your sample?
• What is an equation of the regression line for your proportions?
• What proportion of seats does your regression predict for a statewide Democratic vote proportion of $40\%$?

ksims

The States that were randomly generated for me were: Arkansas, Hawaii, Indiana, Kentucky, Michigan, New Jersey, New Mexico, and Wisconsin.

The Correlation between two proportions: rvalue = 0.981

My equation of the regression line: 2.71*0.4-0.91

My proportion of seats: 0.17400000000000004

dawsonsalter

My states are Delaware, Hawaii, Iowa, Kentucky, Michigan, North Carolina, South Dakota, Vermont

The Correlation: R = 0.89

The equation is: y = 2.32x - 0.73

The proportion is: .19799999

cbehan

.States being used-California, Delaware, Hawaii, Missouri, Nebraska, North Carolina, North Dakota, Vermont.

.Correlation between the two proportions-0.88847

.Y=2.09x-0.56

.2.09*0.4-0.56=0.2759999999999999

hburnett777

What states did you investigate?

• Alabama, Hawaii, Kentucky, Missouri, Nebraska, Pennsylvania, Texas, West Virginia

What is the correlation between the two proportions for your sample?

• %%r = 1.0%%

What is an equation of the regression line for your proportions?

• %%y = 0.82192x + 0.036%%

What proportion of seats does your regression predict for a statewide Democratic vote proportion of 40%?

• %%0.364768%%

ljohns13

States Investigated:

state   dem_vote_proportion dem_district_proportion
4   California  0.585   0.736
9   Georgia 0.527   0.286
10  Hawaii  0.723   1.000
11  Idaho   0.307   0.000
24  Missouri    0.379   0.250
25  Montana 0.405   0.000
32  North Carolina  0.466   0.231
37  Pennsylvania    0.504   0.278

Correlation (R-Value) between two proportions:

0.9218293486125065

Proportion of seats the line of regression predicts:

y = 2.46x-0.85
2.46*0.4-0.85=0.134

Proportion of seats my regression line predicted:

.134 or 13.4%

ccross2

The States that were given to me were Connecticut, Kentucky, Massachusetts, Montana, New Jersey, New Mexico, Rhode Island, and Wisconsin

The Correlation between the two proportions:

rvalue=0.9390788375196548

My equation of the regression line is

3.681*0.4-0.939

My proportion of seats is

0.5335476000000002

Tyson

1. My states were Arizona, Arkansas, Maine, Massachusetts, Missouri, New Jersey, South Dakota and Utah.
2. 0.981would be my correlation between the points.
3. 2.83*0.4-0.94 This is my equation.
4. 0.192 This is my vote proportion and prediction.

csabb

I investigated the following states: Colorado, Delaware, Kansas, Montana, Nevada, Ohio, Oregon, and West Virginia.

The correlation between two proportions: rvalue = 0.9401541680298139

My equation of the regression line: y = 4.6052712179874815x−1.6244213126212377

My proportion of seats: 0.21768717457375475

AnjuliH

My states:

4   California  0.585   0.736
6   Connecticut 0.582   1.000
22  Minnesota   0.561   0.625
25  Montana 0.405   0.000
35  Oklahoma    0.269   0.000
38  Rhode Island    0.611   1.000
41  Tennessee   0.341   0.222
44  Vermont 0.825   1.000

My Correlation: 0.8817722888924145

My Equation: 𝑦=2.19(0.4)-0.57y.

The proportion of Seats: 0.30600000000000005

Salem

Alabama
Delaware
Hawaii
Indiana
Mississippi
Nebraska
Tennessee
Wyoming

The correlation is r= .891809

The equation of the regression line is y= 2.65*0.4-0.8124

The 40% proportion is .24760

ltipton

Connecticut, Illinois, Maryland, Minnesota, North Dakota, Oregon, Rhode Island, and Vermont

My correlation is 0.85781

My equation is 𝑦=1.81*.4−0.28

Which gives me a proportion of 0.44400000000000006

jbattle1

The states I investigated are
Florida
Hawaii
Indiana
Iowa
Missouri
Oregon
South Dakota
West Virginia

The correlation between the two proportions:
0.952

Regression Line equation
𝑦=2.67𝑥−0.85.

Prediction
0.218

tgermann

I investigated Georgia, Massachusetts, Illinois, Vermont, Nebraska, Nevada, Rhode Island, Tennessee

Correlation between the two proportions= 0.81537

Regression Line Equation= 2.038*0.4-0.5276

Prediction= 0.2876 or 28.76%