Question

# The following regression model is used to predict a student's grade in their final test: Grade...

The following regression model is used to predict a student's grade in their final test:

Grade = B0 + B1 Study Hours + B2 Sleep Hours + B3 Tutoring + e

Where:

Grade = score on test out of 100

StudyHours = hours studied in the week before the test

SleepHours = hours slept the night before the test

Tutoring = whether of not the student went to tutoring before the test (not attending tutoring is the omitted condition)

A simplified version of the output for this regression is below:

 Coefficients P-value Intercept 25.572 0.179 StudyHours 11.849 0.067 SleepHours 9.27 0.025 Tutoring 21.583 0.012

How much higher would a student's predicted score be if they studied 2 more hours, slept 1 more hour, and attended tutoring?

21.583 points

30.853 points

42.702 points

54.551 points

the regression equation is

Grade = 25.572 + 11.849* Study Hours + 9.27* Sleep Hours +21.583 Tutoring

Where:

Grade = score on test out of 100

StudyHours = hours studied in the week before the test

SleepHours = hours slept the night before the test

Tutoring = whether of not the student went to tutoring before the test (not attending tutoring is the omitted condition)

for study hours =2 , sleep hours = 1 , tutoring = 1

Grade = 25.572 + 11.849* 2 + 9.27* 1 +21.583*1 = 80.123

so none of the option is correct