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Psychology and Human Behavior Several studies suggest that the number of violent crimes is…

Psychology and Human Behavior Several studies suggest that the number of violent crimes is related to temperature. Suppose the FBI investigated this relationship between temperature and the number of violent crimes in several large cities in the United States. A random sample of days was obtained, and the average temperature (x, in °F) and the number of violent crimes per 100,000 people (y) were recorded for each day.

a. Construct a scatter plot for these data, and describe the relationship between the two variables.

b. Find the estimated regression line.

c. Find a 95% prediction interval for an observed number of violent crimes if the average temperature is 80°F.

d. Find a 95% prediction interval for an observed number of violent crimes if the average temperature is 60°F.