Fill in the blanks in the photo below.

Step-by-step explanation:

The scatter plot is a plot of amount spent on entertainment(in dollars) against the number of hours worked. The equation of the line of best fit is given as

y = 0.6x + 21.82

This equation gives the predicted amount spent on entertainment while the table gives the exact amount spent on entertainment.

1) when the number of hours worked is 7.8,

The observed amount is $33.50

The predicted amount is y = 0.6 × 7.8 + 21.82 = $26.5

The residual is 33.5 - 26.5 = $7

2) when the number of hours worked is 10.2,

The observed amount is $21.5

Approximately 22

The predicted amount is y = 0.6 × 10.2 + 21.82 = $27.94

Approximately $28

The residual is 22 - 28 = $6

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2