Question

The table and scatter plot show the number of hours worked, x, and the amount of money spent on entertainment, y, by each of 10 students.The equation of the line of best fit is y=0.4x + 23.26.Numberof hoursworked,Amountspent onentertainment, y(in dollars)22.4227.3919.9923.5428.9033.5033.5026.4625.083.94.65.46.97.08.09.010.110.9Amountspent onentertainmentin dollars)Number of hours workedContinue

Answer 1

The line of best fit equation is,

`y=0.4x+23.26`

The observed value is what we get from the table.

The predicted value is what we get from using the line of best fit equation.

The residual is Observed - Predicted.

Now,

For number of hours worked = 8,

Observed amount (from table) is 33.50

Predicted amount (using equation) is

`\begin{gathered} y=0.4x+23.26 \\ y=0.4(8)+23.26 \\ y=26.46 \end{gathered}`

Residual = 33.50 - 26.46 = 7.04

For number of hours worked = 12,

Observed amount ( from table) is 25.00

Predicted amount (using equation) is

`\begin{gathered} y=0.4x+23.26 \\ y=0.4(12)+23.26 \\ y=28.06 \end{gathered}`

Residual = 25 - 28.06 = -3.06