Answer:
The predicted test score for a student who spent 10 hours preparing for the test is 78.
Step-by-step explanation:
The regression equation is used to determine the predicted value of the response or dependent variable based on an explanatory or independent variable.
The general form of a regression equation is:
[tex]y=\alpha +\beta x[/tex]
Here,
y = dependent variable
x = independent variable
α = intercept
β = slope
The regression equation relating number of hours of preparation (x) and test score (y) is:
[tex]y=67.3+1.07x[/tex]
Compute the value of y for x = 10 as follows:
[tex]y=67.3+1.07x[/tex]
[tex]=67.3+(1.07\times 10)\\=67.3+10.7\\=78[/tex]
Thus, the predicted test score for a student who spent 10 hours preparing for the test is 78.
