1. Simple Linear Regression: Hand et al. (1994) report on a study by Lea (1965) that investigated the relationship between mean annual temperature (degrees F) in regions of Britain, Norway, and Sweden, and the rate of mortality from a type of breast cancer in women.

The data are accessed by:

library(HH)

data(breast)

(a) Plot the data. Does it appear that the relationship can be adequately modeled by a linear function?

(b) Estimate the regression line and add this to your plot.

(c) Calculate and interpret R².

(d) Calculate and interpret the standard error of residual ^ .

(e) Interpret the estimated slope coefficient in terms of the variables mortality and temperature.

(f) Find a 95% confidence interval on the population slope coefficient.

(g) Find a 95% prediction interval for a region having a mean annual temperature of 45.

(h) One of these 16 data points is unusual compared to the others. Use residual plots to find it.