Explanation:
The equation for the line of best fit is given as:
[tex]y=0.6x+19.85[/tex]
Part A
Number of Hours Worked: 8.1
Observed Amount (from the table): 24.71
Predicted Amount:
[tex]\begin{gathered} y=0.6x+19.85 \\ =0.6(8.1)+19.85 \\ =24.71 \end{gathered}[/tex]
Residual: The residual is the difference between the actual and predicted values.
[tex]\begin{gathered} \text{ Residual}=\text{ Actual Value-Predicted Value} \\ =24.71-24.71 \\ =0 \end{gathered}[/tex]
Part B
Number of Hours Worked: 10.00
Observed Amount (from the table): 21.50
Predicted Amount:
[tex]\begin{gathered} y=0.6x+19.85 \\ =0.6(10)+19.85 \\ =25.85 \end{gathered}[/tex]
Residual: The residual is the difference between the actual and predicted values.
[tex]\begin{gathered} \text{ Residual}=\text{ Actual Value-Predicted Value} \\ =21.50-25.85 \\ =-4.35 \end{gathered}[/tex]
Answer:
The completed table is attached below:
