Question

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

Grade = B_{0} + B_{1} Study Hours +
B_{2} Sleep Hours + B_{3} 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?

Group of answer choices

21.583 points

30.853 points

42.702 points

54.551 points

Answer #1

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

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