Question
Non-Computer Problem: 1. Does having more gun stores in your neighborhood increase the risk of getting shot? Researchers looked at neighborhoods in a (made-up) city
Non-Computer Problem:
1. Does having more gun stores in your neighborhood increase the risk of getting shot? Researchers looked at neighborhoods in a (made-up) city and recorded the number of stores that sold guns in a neighborhood and counted the number of deaths by shootings recorded in that neighborhood in a 6 month period. The data are below.
Gun Stores | Shooting Deaths |
2 | 3 |
5 | 7 |
4 | 2 |
1 | 3 |
0 | 3 |
3 | 2 |
5 | 6 |
4 | 4 |
2 | 2 |
4 | 3 |
1 | 3 |
2 | 1 |
Show work for the calculations.
a. Make a scatterplot of gun stores (X) and deaths by shooting (Y).
b. Describe the form of the relationship. Is there a linear pattern? Is the direction of the association positive or negative?
c. Calculate the Pearson correlation coefficient. Explain in simple language what this says about gun stores and shooting deaths.
d. What is the equation of the OLS regression line for predicting shooting deaths and the proximity of stores that sell guns? Interpret the coefficients.
e. What is the predicted number of deaths from shootingswhere the number of stores in a neighborhood that sell guns is 4?
f. What percent of the variation among neighborhoods in shooting deaths is explained by the straight-line relationship with gun stores? (In other words, calculate and interpret R2.)
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