Math  /  Data & Statistics

QuestionAt the final exam in a statistics class, the professor asks each student to indicate how many hours he or she studied for the exam. After grading the exam, the professor computes the least-squares regression line for predicting the final exam score from the number of hours studied. The equation of the line is y=40+2xy=40+2 x.
Part: 0/20 / 2 \square
Part 1 of 2 (a) Antoine studied for 6 hours. What do you predict his exam score will be?
Antoine's exam score is predicted to be 52 . \square
Part: 1/21 / 2 \square
Part 2 of 2 (b) Emma studied for 3 hours longer than Jeremy did. How much higher do you predict Emma's score to be?
Emma's exam score is predicted to be \square points higher than Jeremy's score.

Studdy Solution
Find the difference in scores between Emma and Jeremy:
yeyj=(46+2xj)(40+2xj)=6 y_e - y_j = (46 + 2x_j) - (40 + 2x_j) = 6
Emma's exam score is predicted to be 6 points higher than Jeremy's score.
The difference in predicted scores is:
6 \boxed{6}

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