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:
\[
\begin{array}{l}
y=a x+b \\
a=5.64 \\
b=36.53 \\
r^{2}=0.597529 \\
r=0.773
\end{array}
\]
Use this to predict the final exam score of a student who studies 1 hours per week, and please round your answer to a whole number.
Hint: Help :
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Answer
\(\boxed{42}\) is the predicted final exam score of a student who studies 1 hour per week.
Step 1 ：Given the regression equation y = ax + b, where a is the slope of the regression line, b is the y-intercept, x is the number of hours studied per week, and y is the predicted final exam score.
Step 2 ：Substitute the given values into the equation: a = 5.64, b = 36.53, and x = 1.
Step 3 ：Calculate y = 5.64*1 + 36.53 = 42.17.
Step 4 ：Round the predicted score to a whole number: 42.
Step 5 ：\(\boxed{42}\) is the predicted final exam score of a student who studies 1 hour per week.
