Question

In: Statistics and Probability

Two variables that likely matter a lot in determining the grade students earn on their final...

Two variables that likely matter a lot in determining the grade students earn on their final are the amount of time spent studying and the amount of sleep the night before the test. We are going to explore this relationship with the following data:

Grade Study Hours Sleep Hours
79 9.5 10
93 12 6
67 7 10
48 4 9
99 18 7
80 15 8
89 17 7
42 7 6

Develop the estimated regression equation to show how exam grade is related to study hours and the amount of sleep a student gets (to 3 decimals if necessary). Write the equation as GRADE = ____ + ____ STUDY + ____ SLEEP where you fill in the blanks.

Interpret b1 and b2 in this regression equation.

Are sleep hours a significant factor in determining exam grades (use a 0.05 level of significance)? Why or why not?

Study hours and sleep are able to explain ___% of the variation in exam grades. Fill in the blank.

What is the coefficient of determination?

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orchestra answered 2 years ago
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