# Simple linear regression multiple choice question

The following Excel tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course.

--------------------------------

Regression Statistics

--------------------------------

Multiple R 0.142620229

R Square 0.02034053

Adjusted R -0.028642444

Square

Standard 20.25979924

Error

Observations 22

--------------------------------

--------------------------------------------------------------------------

Coefficients Standard tStat p-value

Error

--------------------------------------------------------------------------

Intercept 39.39027309 37.24347659 1.057642216 0.302826622

Attendance 0.340583573 0.52852452 0.644404489 0.526635689

--------------------------------------------------------------------------

Referring to the table, which of the following statements is true?

a. -2.86% of the total variability in score received can be explained by percentage attendance.

b. -2.86% of the total variability in percentage attendance can be explained by score received.

c. 2% of the total variability in score received can be explained by percentage attendance.

d. 2% of the total variability in percentage attendance can be explained by score received.

© BrainMass Inc. brainmass.com October 9, 2019, 10:15 pm ad1c9bdddfhttps://brainmass.com/statistics/regression-analysis/simple-linear-regression-multiple-choice-question-214208

#### Solution Preview

The correct answer is

c. 2% of the total variability in score received can be explained by percentage ...

#### Solution Summary

This solution is a very brief response explaining the correct choice in a multiple choice question.