Question

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($) 50000 60000 60000 70000 70000 80000 90000 90000 100000 110000
Sales ($) 299001 371000 364000 430000 440000 485000 535000 546000 595000 675000


Please round your answer to the nearest hundredth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.What is the slope of the "least-squares" best-fit regression line?

Homework Answers

Answer #1

Independent variable (x): Advertising

Dependent variable (y): Sales

Following is the output of regression analysis generated by excel:

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.997458987
R Square 0.994924431
Adjusted R Square 0.994289985
Standard Error 8743.381685
Observations 10
ANOVA
df SS MS F Significance F
Regression 1 1.19882E+11 1.19882E+11 1568.178086 1.81836E-10
Residual 8 611573786.4 76446723.3
Total 9 1.20494E+11
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 8090.035714 12085.85315 0.669380607 0.52209837 -19779.9916 35960.06303
Advertising($), X 5.973205952 0.150837664 39.60022836 1.81836E-10 5.625373675 6.32103823

The slope is:

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