The presents regression output from a model for predicting the heart weight (in g) of cats from their body weight (in kg). The coecients are estimated using a dataset of 144 domestic cats. The model output is also provided below.

(a) What are the hypotheses for evaluating whether body weight is positively associated with heart weight in cats?

(b) State the conclusion of the hypothesis test from part (a) in context of the data.

(c) Calculate a 95% confidence interval for the slope of body weight, and interpret it in context of the data.

(d) Do your results from the hypothesis test and the confidence interval agree? Explain.

(Intercept) body wt s = 1.452 Estimate -0.357 4.034 Std. Error t value 0.692 -0.515 0.250 16.119 Rad = 64.41% Pr(>t) 0.607 0.000 R = 64.66%