Agrocery store wants to examine the relationship between the sales amounts each day at two different locations, store a and store b. the sales amount each day, in dollars, was recorded for 10 days at each store. the least-squares regression line is yˆ=−3,000+1.2x y ^ = − 3 ,000 + 1.2 x , where x x represents the sales amounts each day at store a and y y represents the sales amounts each day at store b. if the mean of the 10 sales amounts for store b is $45,000, what is the mean of the 10 sales amounts for store a?

The mean of the 10 sales amounts for store A is $40,000

Step-by-step explanation:

The  least-squares regression line is

where

x represents the sales amounts each day at store A

y represents the sales amounts each day at store B

we have

y=$45,000

substitute the value of y in the linear equation and solve for x

therefore

The mean of the 10 sales amounts for store A is $40,000

The mean of the 10 sales made at store A using the regression equation is $40,000

The regression model given :

The mean amount for 10 sales at store B = $45,000 ; then y = $45,000

Substitute y = 45000 into the regression equation :

Hence, we have ;

45000 = -3000 + 1.2x

Add 3000 to both sides

45000 + 3000 = 1.2x

48000 = 1.2x

Divide both sides by 1.2

48000/1.2 = x

x = $40,000

Therefore, the mean sales at store A will be $40,000

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step-by-step explanation: