Question

Linear regression equation: Y = 0.082x + 10.952 a) Determine the predicted points scored if you practiced for 10 minutes. Round your answer to the nearest thousandth.b) Determine the residual value of practicing for 10 minutes. What does it mean?

Answer 1

a) The predicted scored is evualte x=10 in the linnear regression

`\begin{gathered} Y=0.082(10)+10.952 \\ Y=11.772 \end{gathered}`

Then, the predicted score is 11.772

b) The residual value is the difference between the observed value and the predicted value

`10-11.772=-1.772`

The residual value is -1.772. This value represents how much we missed the observed data with our prediction.