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 coecients are estimated using a dataset of 144 domestic cats. 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 s = 1.452 R? = 64.66% Radi 64.41% a) What are the hypotheses for evaluating whether body weight is positively associated with heart weight in cats? Ho: B1 = 0; HA: ß1 # 0 Ho: B1 = 0; HA: B1 > 0 Ho: Bo = 0; HA: Bo > 0 Ho: Bo = 0; HA: Bo # 0 b) State the conclusion of the hypothesis test from part (a) in context of the data. O The data provide convincing evidence that body weight is positively associated with heart weight in cats. OThe data does not provide convincing evidence that body weight is positively associated with heart weight in cats. ) The data provide convincing evidence that body weight is negatively associated with heart weight in cats. O The data does not provide convincing evidence that body weight is negatively associated with heart weight in cats. c) Calculate a 95% confidence interval for the slope of body weight. Round to 2 decimal places.

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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 coecients are estimated using a dataset of 144 domestic cats. 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
s = 1.452
R? = 64.66%
Radj = 64.41%
a) What are the hypotheses for evaluating whether body weight is positively associated with heart weight in
cats?
Ho: B1 = 0; HA: ß1 # 0
Ho: B1 = 0; HA: B1 > 0
Ho: Bo = 0; HA: Bo > 0
Ho: Bo = 0; HA: Bo # 0
b) State the conclusion of the hypothesis test from part (a) in context of the data.
O The data provide convincing evidence that body weight is positively associated with heart weight in
cats.
OThe data does not provide convincing evidence that body weight is positively associated with heart
weight in cats.
) The data provide convincing evidence that body weight is negatively associated with heart weight in
cats.
O The data does not provide convincing evidence that body weight is negatively associated with heart
weight in cats.
c) Calculate a 95% confidence interval for the slope of body weight. Round to 2 decimal places.
Transcribed Image Text: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 coecients are estimated using a dataset of 144 domestic cats. 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 s = 1.452 R? = 64.66% Radj = 64.41% a) What are the hypotheses for evaluating whether body weight is positively associated with heart weight in cats? Ho: B1 = 0; HA: ß1 # 0 Ho: B1 = 0; HA: B1 > 0 Ho: Bo = 0; HA: Bo > 0 Ho: Bo = 0; HA: Bo # 0 b) State the conclusion of the hypothesis test from part (a) in context of the data. O The data provide convincing evidence that body weight is positively associated with heart weight in cats. OThe data does not provide convincing evidence that body weight is positively associated with heart weight in cats. ) The data provide convincing evidence that body weight is negatively associated with heart weight in cats. O The data does not provide convincing evidence that body weight is negatively associated with heart weight in cats. c) Calculate a 95% confidence interval for the slope of body weight. Round to 2 decimal places.
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