Question

PLEASE HELP!

The scatter plot shows the number of years of experience, x, and the
amount charged per hour, y, for each of 25 dog sitters in Texas.

(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.

(b) Using your equation from part (a), predict the amount charged per hour by a dog sitter with 18 years of experience.

Answer 1

(a)
`\sf y=(11)/(20)x+7`

(b) $16.90

Explanation:

Part (a)

Add a line of best fit (see attached).

Find two points on the line: (7, 0) and (20, 18)

Use these points to find the slope of the line:

`\sf slope\:(m)=(change\:in\:y)/(change\:in\:x)=(18-7)/(20-0)=(11)/(20)`

Use the found slope and one of the points in the point-slope form of the linear equation to find an equation for the line of best fit:

`\sf\implies y-y_1=m(x-x_1)`

`\sf\implies y-7=(11)/(20)(x-0)`

`\sf\implies y=(11)/(20)x+7`

Part (b)

Substitute x = 18 into the equation and solve for y:

`\sf\implies y=(11)/(20)(18)+7=\$16.90`