The American Community Survey is a survey that uses U.S. census data to compile information on various characteristics of the U.S. population. Here are statistics that I would like you to analyze from a sample of states.
The independent variable (x-variable) is the percent of the state population living below the poverty level. The dependent variable (y-variable) is the state infant mortality rate in deaths per 1000 births. The data is displayed in the following table:
State: |
Percent of Population living below poverty level |
Infant Mortality Rate Deaths per 1000 Births |
Vermont |
11.5 |
5.12 |
New Jersey |
10.2 |
5.35 |
Georgia |
19.1 |
8.02 |
Kentucky |
19.1 |
7.04 |
Iowa |
12.8 |
5.43 |
Kansas |
13.8 |
7.50 |
Colorado |
13.5 |
6.04 |
New Mexico |
21.5 |
5.81 |
Arizona |
19.0 |
6.54 |
California |
16.6 |
5.12 |
Oregon |
17.5 |
5.41 |
North Dakota |
12.2 |
6.44 |
Ohio |
16.4 |
7.74 |
Maine |
14.1 |
6.04 |
Mississippi |
22.6 |
10.16 |
Arkansas |
19.5 |
7.89 |
Louisiana |
20.4 |
9.38 |
Wisconsin |
13.1 |
6.57 |
Connecticut |
10.9 |
6.27 |
Wyoming |
11.3 |
7.05 |
Enter the “Poverty Rate” data into L1 and “Mortality Rate” data into L2. Carefully check all your values before you proceed with your analysis.
1. Use your calculator to fit a linear model to the data and store the equation in Y1. Store the predictions in L3 and the Residuals in L4.
a. |
y-hat = 0.616 + 0.785x |
|
b. |
y-hat = 6.117 + 0.20486x |
|
c. |
y-hat = 3.5184 + 0.20486x |
|
d. |
y-hat = 15.223 + 4.375x |
|
e. |
y-hat = 0.785 + 3.51846x |
so the correct regressionline is option C
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