1.(5x4 = 20 points) In the dataset "BrainBody" there are 62 individuals, and we will be regressing the natural logarithm of brain weight on the natural logarithm of body weight.

[Note: We will learn more about transformations later in the course, but for now simply use the transformed variables as is without worrying about the transformations themselves.]

Use Minitab to fit the model with logbrain as the response and logbody as the predictor and use the output to answer the following questions.

(a)Write the estimated regression equation.

(b)The value of the t-statistic = 26.15 for testing the null hypothesis that the population slope = 0. Show how this t-statistic is calculated using other values given in the output.

(c)What is the p-value for testing the null hypothesis that the population slope = 0? On the basis of this p-value what can we conclude about the population slope?

(d)Report and interpret the estimated standard deviation of the errors, S?

(e)Report and interpret the coecient of determination R²?