Problem

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 : Submit Question

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/pOpt37FERL/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download