Question

a regression was run to determine if there is a relationship between hours of study per week (x) and the test scores (y). the results of the regression were: y = ax + b a = 6.077 b = 39.53 r² = 0.537289 r = 0.733 use this to predict the final exam score of a student who studies 11 hours per week, and please round your answer to a whole number.

Explanation:

Step1: Identify the regression equation

The regression equation is $y = ax + b$ with $a = 6.077$ and $b=39.53$.

Step2: Substitute the value of x

We want to find $y$ when $x = 11$. Substitute $x = 11$ into $y=ax + b$, so $y=6.077\times11 + 39.53$.

Step3: Calculate the value of y

First, calculate $6.077\times11=66.847$. Then $y=66.847+39.53 = 106.377$.

Step4: Round the result

Rounding $106.377$ to a whole - number gives $106$.

Answer:

106