Question

The least squares regression line of this data set is:

y = 0.434x + 2.366

What score does this line predict Aaron would award a competitor to whom Brenna awards 2.76 points?

Round your answer to the nearest thousandth.​

Answer 1

Explanation:

To use the regression line to predict a score, we plug in the value of x (which is the score awarded by Brenna) and solve for y (which is the predicted score awarded by Aaron):

y = 0.434x + 2.366

y = 0.434(2.76) + 2.366

y ≈ 3.518

Therefore, the regression line predicts that Aaron would award a competitor whom Brenna awards 2.76 points a score of approximately 3.518. Rounded to the nearest thousandth, this is 3.518.