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. Estimate Std. Error t value Pr(>/t1) (Intercept) 0.386 0.696 -0.557 0.578 body wt 4.044 0.252 16.070 0.000 S = 1.461 R2 = 64.52% Rad 2 = 64.27% 20 15 Heart weight (g) 10 5E 2.0 2.5 3.0 3.5 4.0 Body weight (kg) (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) Interpret the intercept. (Give your answer in grams.) The expected heart weight of cats with a body weight of 0 kilograms is grams. (c) Interpret the slope. (Give your answer in grams.) For each additional kilogram in a cat's weight, we expect their hearts to be heavier by grams, on average. (d) Interpret R2. (Give your answer as a percent.) Body weight explains % of the variability in weights of cats' hearts. (e) Calculate the correlation coefficient. (Round your answer to four decimal places.)