1. Simple Linear Regression: Hand et al. (1994) report on a study by Lea (1965)...
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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.
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