The accompanying table provides data for thesex, age, and weight of bears. Forsex, let 0 represent female
Question:
The accompanying table provides data for thesex, age, and weight of bears. Forsex, let 0 represent female and let 1 represent male. Letting the response(y) variable representweight, use the dummy variable of sex and the variable of age and to find the multiple regression equation. Use the equation to find the predicted weight of a bear with the characteristics given below. Does sex appear to have much of an effect on the weight of abear?
a. Female bear that is 17 months of age
b. Male bear that is 17 months of age
Click the icon to view the bear measurement data.
Find the multiple regression equation with weight as the response variable and the dummy variable of sex and the variable of age as the explanatory variables.
Weight=
+
Sex+
Age
(Round to one decimal place asneeded.)
Predict the weight of a female bear that is 17 months of age.
The predicted weight for the female bear is
pounds.
(Round to the nearest integer asneeded.)
Predict the weight of a male bear that is 17 months of age.
The predicted weight for the male bear is
pounds.
(Round to the nearest integer asneeded.)
Does sex appear to have much of an effect on the weight of abear? Select the correct choice and fill in the answer box to complete your choice.
(Round to one decimal place asneeded.)
A.
Yes, the sex of a bear does appear to have an effect on its weight. The regression equation indicates that the predicted weight of a female bear is about
pounds more than a male bear of the same age.
B.
No, the sex of a bear does not appear to have an effect on its weight. While the regression equation indicates that the average weight of female bears is about
pounds more than malebears, this does not account for variations in age.
C.
No, the sex of a bear does not appear to have an effect on its weight. While the regression equation indicates that the average weight of male bears is about
pounds more than femalebears, this does not account for variations in age.
D.
Yes, the sex of a bear does appear to have an effect on its weight. The regression equation indicates that the predicted weight of a male bear is about
pounds more than a female bear of the same age.
Mathematical Interest Theory
ISBN: 9781470465681
3rd Edition
Authors: Leslie Jane, James Daniel, Federer Vaaler