Question

What percentage of the total variation in test scores is not explained by the linear relationship between years of study and test scores?

Answer 1

Answer:

Check explanation section.

Step-by-step explanation:

So, we have the following parameters or information from the question above:

=> that the regression equation is Score = 31.55 + 10.90 Years.

So, the regression equation is in the form of mx + c.

Thus, the coefficient that is constant = 31.55 and the coefficient that shows or represents the years = 10.90.

=> Also, we have the value which is most important in this question that is the coefficient of Determination which is represented as R-sq and has the value of 83%.

The percentage of the total variation in test scores is NOT explained by the linear relationship between years of study and test scores = 100% - 83% = 17%.

For the percentage of the total variation in test scores is explained by the linear relationship between years of study and test scores = R- sq = 83%.