The dataset cats is an R built-in dataset that is found in the MASS package. This dataset contains the heart and body weight measurements collected from a sample of 144 male and female domes- ticated...

Extracted text: The dataset cats is an R built-in dataset that is found in the MASS package. This dataset contains the heart and body weight measurements collected from a sample of 144 male and female domes- ticated adult cats that was to be used for digitalis experiments. Brittanica.com defines digitalis as a form of medicine that is acquired from leaves that were dried from a plant known as foxglove. This type of drug is usually used to treat heart problems. 1.2 Fit a simple linear regression model to this relationship using the R function Im( ). (a) Give a fitted model and interpret the coefficients. (b) Conduct test of hypotheses on the regression coefficients and comment on their sig- nificance. For each test provide the null and alternative hypotheses, critical region (or rejection region), test statistics and your conclusions.