Question

A landscaping company is hired to mow the grass for several large properties. A statistician uses data from their previous project and comes up with a regression formula for the rate at which they can mow as follows: y^= 40+1.2x where x is the number of hours spent mowing and y^ represents the predicted number of mowed acres. In their new project, they have mowed 60 acres after 10 hours. 1. Calculate the predicted number of acres mowed in 10 hours. acres 2. Calculate the residual for their new project? acres Not the exact question you're

Answer 1

1. To calculate the predicted number of acres mowed in 10 hours, we can substitute the value of x = 10 into the regression formula:

y^ = 40 + 1.2x
y^ = 40 + 1.2(10)
y^ = 40 + 12
y^ = 52

Therefore, the predicted number of acres mowed in 10 hours is 52 acres.

2. To calculate the residual for their new project, we need to compare the predicted value (y^) with the actual value (y) for the given project. In this case, the actual value is 60 acres.

Residual = Actual value - Predicted value
Residual = 60 - 52
Residual = 8 acres

Therefore, the residual for their new project is 8 acres.