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?
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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