Question

4 multiple choice 1.25 points a sample of 10 students was taken from a history class. the data below are the final exam scores and the number of hours they studied before the exam. the least-squares regression line is given to be \\(\hat{y} = 4.82x + 56.56\\) \\(\

$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \\hline \\text{hours, } x & 3 & 5 & 2 & 7 & 2 & 4 & 4 & 5 & 8 & 3 \\\\ \\hline \\text{score, } y & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71 \\\\ \\hline \\end{array}$$

\\) predict the final exam score for a student who studied 4 hours. \\(\bigcirc\\) 75.84 \\(\bigcirc\\) 78 \\(\bigcirc\\) 81.5 \\(\bigcirc\\) 85

Explanation:

Step1: Substitute x=4 into regression line

$\hat{y} = 4.82(4) + 56.56$

Step2: Calculate predicted score

$\hat{y} = 19.28 + 56.56 = 75.84$

Answer:

75.84