3. 2 3 5 6. 4 2 2 4 3 2 You may use computer software such as Excel to do the calculations for this problem if you wish, but you must show all intermediate calculations and indicate how the calculations were performed. (In other words, you should show all the same work as if you had done the calculations by hand.) It is also fine to do the problem entirely by hand. 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. c. What is the predicted number of deaths from shootings where the number of stores in a neighborhood that sell guns is 4? r. Conduct a hypothesis test for the significance of the regression slope coefficient (t-test). Be sure to show all 4 steps. Interpret your results.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.