Researchers measured initial weight, X, and weight gain. V. of 15 rats on a high protein diet.1 All weights are in grams. A scatterplot of the data shows a linear relationship. The fitted regression model is
y = 54.95 + 1.06x
The sample correlation coefficient, r. is 0.4X9. I Tie SE of b1 is 0.526. Also, = 19.3.
(a) Find r2 and interpret r in the context of this problem.
(b) Suppose that a rat initially weighs 60 g. What is the predicted weight gain for the rat?
(c) Interpret the value 1.06 from the fitted model in the context of this problem. (What does this 1.06 mean?)
(d) Construct a 95% confidence interval for B1.
(e) Interpret the value of se in the context of this problem. That is, what does it mean to say that se = 19.3? How does this relate to your answer to part (b)?