Cats, Part II. Exercise 7.30 presents regression output from a model for predicting the heart weight (in g) of cats from their body weight (in kg). The coeffcients are estimated using a dataset of 144 domestic cats. The model output is also provided below. Estimate Standard Error T Value Pr(>|t|) (Intercept) -0.357 0.692 -0.515 0.607 Body Weight 4.034 0.250 16.119 0.000 s = 1.452 R2 = 64.66% R2adj = 64.41% 1) What are the hypotheses for evaluating whether body weight is positively associated with heart weight in cats? 2) State the conclusion of the hypothesis test from part (1) in context of the data. 3) Calculate a 95% confidence interval for the slope of body weight, and interpret it in context of the data.
7.44 Cats, Part II. Exercise 7.30 presents regression output from a model for predicting the
heart weight (in g) of cats from their body weight (in kg). The coeffcients are estimated using a dataset of 144 domestic cats. The model output is also provided below.
| Estimate | Standard Error | T Value | Pr(>|t|) | |
| (Intercept) | -0.357 | 0.692 | -0.515 | 0.607 |
| Body Weight | 4.034 | 0.250 | 16.119 | 0.000 |
s = 1.452 R2 = 64.66% R2adj = 64.41%
1) What are the hypotheses for evaluating whether body weight is positively associated with
heart weight in cats?
2) State the conclusion of the hypothesis test from part (1) in context of the data.
3) Calculate a 95% confidence interval for the slope of body weight, and interpret it in context
of the data.
4) Do your results from the hypothesis test and the confidence interval agree? Explain.
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