Exercise presents regression output from a model 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 cat. the model output is also provided below.
estimate std. error t value pr(> |t|)
(intercept) -0.357 0.692 -0.515 0.607
body wt 4.034 0.250 16.119 0.000
s = 1.452 r^2= 64.66% r^2adj = 64.41%
(a) we see that the point estimate for the slope is positive. 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.