Question

Use the equation of the line of best fit to fill in the blanks below Give exact answers, not rounded approximations

Answer 1

Explanation:

The equation for the line of best fit is given as:

`y=0.6x+19.85`

Part A

Number of Hours Worked: 8.1

Observed Amount (from the table): 24.71

Predicted Amount:

`\begin{gathered} y=0.6x+19.85 \\ =0.6(8.1)+19.85 \\ =24.71 \end{gathered}`

Residual: The residual is the difference between the actual and predicted values.

`\begin{gathered} \text{ Residual}=\text{ Actual Value-Predicted Value} \\ =24.71-24.71 \\ =0 \end{gathered}`

Part B

Number of Hours Worked: 10.00

Observed Amount (from the table): 21.50

Predicted Amount:

`\begin{gathered} y=0.6x+19.85 \\ =0.6(10)+19.85 \\ =25.85 \end{gathered}`

Residual: The residual is the difference between the actual and predicted values.

`\begin{gathered} \text{ Residual}=\text{ Actual Value-Predicted Value} \\ =21.50-25.85 \\ =-4.35 \end{gathered}`

Answer:

The completed table is attached below: