Find the trend line equation.
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The file P10_02.xlsx
contains midterm and final exam scores for 96 students in a corporate finance course. Each row contains the two exam scores for a given student, so you might expect them to be positively correlated.
a. Select the appropriate scatterplot of the final exam score (
Y
) versus the midterm score (
X
).
Find the trend line equation.
Let X
represent the midterm.
Round your answers to three decimal places, if necessary.
Ŷ
= X
+ Find the R
2
value. Round your answer to three decimal places, if necessary.
What does this equation indicate in terms of predicting a student's final exam score from his or her midterm score? Be specific. Round your answer to three decimal places, if necessary.
When the midtermSelectmidtermfinalItem 8 exam increases by point, the finalSelectfinalmidtermItem 10 exam is expected to increase by .
c. Run a regression to confirm the trend-line equation from part b
.
Let X
represent the midterm.
Round your answers to three decimal places, if necessary.
Ŷ
= + X
What does the standard error of estimate say about the accuracy of the prediction requested in part b
?
If necessary, round your standard error answer to two decimal digits.
The standard error indicates that about 68%Select50%68%95%99%Item 14 of the predictions of the finalSelectfinalmidtermItem 15 exam score, made only from the midtermSelectfinalmidtermItem 16 score, will be withinSelectwithinoutsideItem 17 points of the actual finalSelectfinalmidtermItem 19 exam score.
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