Question

In: Statistics and Probability

Consider the following sample data for the relationship between advertising budget and sales for Product A:...

Consider the following sample data for the relationship between advertising budget and sales for Product A:

Observation 1 2 3 4 5 6 7 8 9 10
Advertising ($) 50,000 60,000 60,000 70,000 70,000 80,000 90,000 90,000 100,000 110,000
Sales ($) 299,001 371,000 364,000 430,000 440,000 485,000 535,000 546,000 595,000 675,000

What is the predicted sales quantity for an advertising budget of $76,000?

Please round your answer to the nearest integer.

Solutions

Expert Solution

predictor (X) : advertising

response (Y) : sales

i am using minitab to get the regression equation.

steps:-

copy the data in two column of minitab named advertising and sales stat basic statistics regression regression fit regression model in response select sales and in predictor select advertising OK.

the needed output be:-

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 8090.03571 12086 0.67 0.522
advertising 5.97321 0.151 39.60 0.000 1.00

Regression Equation

sales = 8090.03571 + 5.97321 advertising

the predicted sales quantity for an advertising budget of $76,000 be:-

= 8090.03571 + (5.97321 * 76000)

=$ 462054

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