Below is the 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) body wt -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 R2 = 64.41% Radi s = 1.452 64.66% %3D (a) We see that the point estimate for the slope is positive. What are Ho and HA for evaluating whether body weight is 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.

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2. Below is the 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)
body wt
-0.357
0.692
-0.515
0.607
4.034
0.250
16.119
0.000
R2
64.66%
Radi
64.41%
s = 1.452
(a) We see that the point estimate for the slope is positive. What are Ho and HA for evaluating
whether body weight is 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.
Transcribed Image Text:2. Below is the 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) body wt -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 R2 64.66% Radi 64.41% s = 1.452 (a) We see that the point estimate for the slope is positive. What are Ho and HA for evaluating whether body weight is 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.
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