4. [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using a dataset of 144 domestic cats. Round all answers to three decimal places. Estimate Std. Error t value Pr(> It1) (Intercept) -0.414 0.698 -0.593 0.554 body wt 4.058 0.252 16.082 0.000 S = 1.464 R2 = 64.56% 20 15 Heart weight (8) hs .... .. . . ... . .. 10 2.0 2.5 3.0 3.5 4.0 Body weight (kg) i(a) Write out the linear model. (Let y represent the heart weight in grams and let x represent their body weight in kilograms.) y = (b) The expected heart weight of cats with a body weight of 0 kilograms is grams. (c) For each additional kilogram in a cat's weight, we expect their hearts to be heavier by grams, on average. (d) Body weight explains % of the variability in weights of cats' hearts