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 t value std. error 0.692 0.250 0.515 16.119 = 64.41% pr(> itl) 0.607 0,000 (intercept) body wt -0.357 4.034 r2=64.66% s= 1.452 r 20 15 2.5 3.5 4.0 3.0 body weight (kg) 2.0 (a) write out the linear model. (enter your answers to three decimal places.) heart wt- × body wt (b) interpret the intercept. (enter your answer to three decimal places.) the expected heart weight of cats with a body weight of 0 kilograms is grams (c) interpret the slope. (enter your answer to three decimal places.) for each additional kilogram in a cat's weight, we expect their hearts to be heavier by grams, on average (d) interpret r2. (enter your answer to two decimal places.) body weight explains % of the variability in weights of cats' hearts. (e) calculate the correlation coefficient. (round your answer to four decimal places.)