Question

suppose the linear regression line y = 3.009x - 77.131 predicts a pizza parlors profits based on the number of pizzas sold. if x represents the number of pizzas sold, and y represents the pizza parlors profits in dollars, about how much can the pizza parlor expect in profits if it sells 275 pizzas?
a. $675
b. $900
c. $825
d. $750

Explanation:

Step1: Substitute value of x

We are given $x = 275$ and the regression - line equation $y=3.009x - 77.131$. Substitute $x = 275$ into the equation:
$y=3.009\times275-77.131$

Step2: Calculate the product

First, calculate $3.009\times275$:
$3.009\times275 = 827.475$

Step3: Calculate the profit y

Then, subtract 77.131 from 827.475:
$y=827.475 - 77.131=750.344\approx750$

Answer:

D. $750$