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 = 6.504, b = 37.44, r² = 0.799236, r = 0.894. use this to predict the final exam score of a student who studies 6 hours per week, and please round your answer to a whole number.

Explanation:

Step1: Identify the regression equation

The regression equation is $y = ax + b$, where $a = 6.504$ and $b=37.44$.

Step2: Substitute the value of $x$

We want to predict the score when $x = 6$. Substitute $x = 6$ into the equation $y=6.504x + 37.44$. So $y=6.504\times6+37.44$.

Step3: Calculate the value of $y$

First, calculate $6.504\times6 = 39.024$. Then $y=39.024 + 37.44=76.464$.

Step4: Round the result

Round $76.464$ to a whole - number. Rounding gives $y\approx76$.

Answer:

76