Question

solve the problem. round to two decimal places. the paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. by using linear regression, the following function is obtained: y = 67.3+1.07x, where x is number of hours studied and y is the test score. use this function to predict the score on the test of a student who studies 4 hours. hours 5 10 4 6 10 9 score 64 86 69 86 59 87 66.58 71.58 73.30 76.58

Explanation:

Step1: Substitute x value

Given the linear - regression function $y = 67.3+1.07x$ and $x = 4$. Substitute $x = 4$ into the function: $y=67.3 + 1.07\times4$.

Step2: Perform multiplication

First, calculate $1.07\times4=4.28$. So the equation becomes $y = 67.3+4.28$.

Step3: Perform addition

Then, $67.3 + 4.28=71.58$.

Answer:

71.58