Question

stat hw unit 3: linear regression and correlation
score: 26/50 answered: 6/9
question 7
a regression was run to determine if there is a relationship between hours of study per week (x) and the final exam scores (y).
the results of the regression were:
y = ax + b
a = 5.289
b = 26.19
r² = 0.680625
r = 0.825
use this to predict the final exam score of a student who studies 2 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 $a = 5.289$ and $b=26.19$.

Step2: Substitute the value of $x$

We want to find $y$ when $x = 2$. Substitute $x = 2$ into the equation $y=5.289x + 26.19$. So $y=5.289\times2+26.19$.

Step3: Calculate the value of $y$

First, calculate $5.289\times2 = 10.578$. Then $y=10.578 + 26.19=36.768$.

Step4: Round the result

Round $36.768$ to a whole - number. Rounding gives $y\approx37$.

Answer:

37