Question

The regression equation for change in temperature, y, to amount of humidity in
percent. h, is given by ỹ =9.1 + 0.6h. On Sunday, the observed amount of humidity
was 23 percent and the temperature change was 20.7 degrees. Find and interpret
the residual.

Answer 1

Answer:

Residual = 11.462

Since the residual is positive, it means it is above the regression line.

Step-by-step explanation:

The residual is simply the difference between the observed y-value which is gotten from the scatter plot and the predicted y-value which is gotten from regression equation line.

The predicted y-value is given as 20.7°

The regression equation for temperature change is given as;

y^ = 9.1 + 0.6h

h is the observed amount of humidity and it's given to be 23 percent or 0.23.

Thus;

y^ = 9.1 + 0.6(0.23)

y^ = 9.238

Thus:

Residual = 20.7 - 9.238

Residual = 11.462

Since the residual is positive, it means it is above the regression line.

Answer 2

Answer: -2.2. The regression line overpredicts the temperature change.

Step-by-step explanation:

I guessed on the test and got it right.