Question: Last dog. Based on the regression output seen in Exercise, create a 95% confidence interval for the slope of the regression line and interpret your interval in context.
Exercise: Hot dogs. Healthy eating probably doesn't include hot dogs, but if you are going to have one, you'd probably hope it's low in both calories and sodium. In its July 2007 issue, Consumer Reports listed the number of calories and sodium content (in milligrams) for 13 brands of all-beef hot dogs it tested. Examine the association, assuming that the data satisfy the conditions for inference.
Dependent variable is: Sodium
R squared = 60.5%
s = 59.66 with 13 - 2 = 11 degrees of freedom
Variable Coefficient SE(Coeff) t-ratio P-value
Constant 90.9783 77.69 1.17 0.2663
Calories 2.29959 0.5607 4.10 0.0018
a) State the appropriate hypotheses about the slope.
b) Test your hypotheses and state your conclusion in the proper context.