A grocery store wants to examine the relationship between the sales amounts each day at two different locations, store A and sto

Question

1 month ago

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A grocery store wants to examine the relationship between the sales amounts each day at two different locations, store A and sto

re 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, where x represents the sales amounts each day at store A and 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?

Mathematics

1 answer:

Leona [12.6K] · Answer 1 · 2026-03-30T10:00:40+03:00

Response:

The average of the 10 sales figures for store A is $40,000.

Detailed explanation:

Provided;

yˆ= −3,000 + 1.2x...................... (1)

Where;

x = daily sales amounts at store A or the average of the 10 sales amounts for store A =?

yˆ = daily sales amounts at store B or the average of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solving for x, yields:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Consequently, the mean of the 10 sales figures for store A is $40,000.