Question

Backoround Layout Theme Transition Temperature (°F) Bathing Suit Sales ($) Linear regression equation: y = 12.761x - 409.976 00 785 a) Determine the predicted sales if the temperature is 90°. Round your answer to the nearest thousandth. 32 272 72 460 600 b) Determine the residual value of the temperature at 90°. What does it mean? 45 106

Answer 1

The linear regression equation is expressed as

y = 12.761 - 409..976

To determine the predicted sales if the temperature is 90 degrees, we would substitute x = 90 into the given equation. It becomes

y = 12.761 * 90 - 409.976

y = 1148.49 - 409.976

y = 738.514

B. we would determine the residual value at 90 by subtracting the sales value that we got from 785

Residual value = 785 - 738.514 = 46.486

The residual value is the difference between the predicted value and the real value