Question

Good morning, I need help on this questions. Thanks :)

Answer 1

Answer: Hl

Explanation:

Answer 2

The observed values are given in the table shown in the question. The line of best fit is given to be:

`y=-1.1x+90.31`

where x is the average monthly temperature and y is the heating cost.

A residual is a difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line). The formula will be:

`Residual=Observed\text{ }y\text{ }value-Predicted\text{ }y\text{ }value`

QUESTION A

The average monthly temperature is 24.9:

`x=24.9`

Observed cost:

`y=51.00`

Predicted cost:

`\begin{gathered} y=-1.1(24.9)+90.31=-27.39+90.31 \\ y=62.92 \end{gathered}`

Residual:

`\begin{gathered} R=51.00-62.92 \\ R=-11.92 \end{gathered}`

QUESTION B

The average monthly temperature is 35.9:

`x=35.9`

Observed cost:

`y=67.00`

Predicted cost:

`\begin{gathered} y=-1.1(35.9)+90.31=-39.49+90.31 \\ y=50.82 \end{gathered}`

Residual:

`\begin{gathered} R=67.00-50.82 \\ R=16.18 \end{gathered}`