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A regression analysis between sales (in $1000) and advertising (in $100) yielded the least squares line = 75 +6x. This implies that if $800 is spent on advertising, then the predicted amount of sales (in dollars) is:Group of answer choices$487 500.$12 300.$123 000.$4875.

Question

A regression analysis between sales (in 1000)andadvertising(in1000) and advertising (in 100) yielded the least squares line = 75 +6x. This implies that if 800isspentonadvertising,thenthepredictedamountofsales(indollars)is:Groupofanswerchoices800 is spent on advertising, then the predicted amount of sales (in dollars) is:Group of answer choices487 500.12300.12 300.123 000.$4875.

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Solution

The equation given is y = 75 + 6x, where y is the sales in 1000andxistheadvertisingin1000 and x is the advertising in 100.

If 800isspentonadvertising,wefirstneedtoconvertthistotheunitsusedintheequation,whicharehundredsofdollars.So,800 is spent on advertising, we first need to convert this to the units used in the equation, which are hundreds of dollars. So, 800 becomes 8 (since 800/800/100 = 8).

We then substitute x = 8 into the equation:

y = 75 + 6*8 y = 75 + 48 y = 123

However, remember that y is in units of 1000.Sothepredictedamountofsalesis1000. So the predicted amount of sales is 123,000.

So, the correct answer is $123,000.

This problem has been solved

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