Estimate the multiple linear regression equation relating number of cups of coffee per week, female sex, and number of hours of exercise per week, considered simultaneously, to GPA. Consider GPA the dependent, or outcome variable.
my answer:
GPA= 7.301 -1.649 (female sex) -0.5727(#exercise)
I am stock question b.
B. Use the regression equation in part a. to estimate the GPA of a male student who drinks 7 cups of coffee a week, and exercises 4 hours per week.
how should I write the equation for question B.
thanks
To estimate the GPA of a male student who drinks 7 cups of coffee a week and exercises 4 hours per week, we need to substitute the values in the regression equation:
GPA = 7.301 - 1.649 (0) - 0.5727(4)
Since the student being considered is male, the coefficient for the "female sex" variable is zero. Therefore, it does not impact the GPA estimate.
To estimate the GPA of a male student who drinks 7 cups of coffee a week and exercises 4 hours per week, we need to use the regression equation from part A. However, since the regression equation in part A included the variable "female sex" (which is not applicable to a male student), we need to exclude that variable from the equation for this estimation.
Therefore, the revised regression equation for estimating the GPA of a male student would be:
GPA = (coefficient for cups of coffee) * (number of cups of coffee per week) + (coefficient for exercise) * (number of hours of exercise per week) + intercept
Assuming the coefficients for cups of coffee and exercise in your regression equation from part A are -1.649 and -0.5727 respectively, and the intercept is 7.301, we can substitute these values into the equation:
GPA = (-1.649) * (7 cups of coffee per week) + (-0.5727) * (4 hours of exercise per week) + 7.301
Now, substitute the given values into the equation:
GPA = (-1.649) * (7) + (-0.5727) * (4) + 7.301
After performing the calculations, you will obtain the estimated GPA for the male student.