Question

In: Statistics and Probability

In what follows use any of the following tests: Regression, Multiple Regression, one-sided t-test, or two-sided...

In what follows use any of the following tests: Regression, Multiple Regression, one-sided t-test, or two-sided t-test. All conclusions should be based on a 5% P-value threshold.

Choose the best fitting answer.

Open Flyers_Customers data. SETUP: In order to increase the number of customers, your boss decided to try distributing flyers. The data represent the number of flyers, as well as number of customers per given day. Given the data, your job is to perform the appropriate statistical test or procedure and help your boss with the decision.

https://www.limes.one/Content/DataFiles/Fliers_Customers.txt

9. What test did you perform?

  • a. Regression
  • b. Multiple Regression
  • c. One-sided t-test
  • d. Two-sided t-test

10. What is the P-value?

  • a. 0.660577
  • b. 0.330288
  • c. 3.23E-06
  • d. 0.029217
  • e. None of these

11. What is the Statistical interpretation?

  • a. Since the P-value is very small, we can conclude that more flyers will bring more customers.
  • b. Since the P-value is too large, we cannot conclude that more flyers will bring more customers.
  • c. Since the P-value is too large, we cannot claim that two averages are different.
  • d. None of these.

12. What is the conclusion?

  • a. The test is inconclusive; thus nothing can be concluded.
  • b. The test is conclusive; more flyers means more customers.
  • c. The test is inconclusive; we cannot claim that two averages are different.
  • d. None of these.

Solutions

Expert Solution

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.581359801
R Square 0.337979218
Adjusted R Square 0.282810819
Standard Error 62.15013327
Observations 14
ANOVA
df SS MS F Significance F
Regression 1 23663.75978 23663.75978 6.126319177 0.02921709
Residual 12 46351.66879 3862.639066
Total 13 70015.42857
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 315.477707 38.85867524 8.118591411 3.23304E-06 230.8119269 400.1434872
Fliers 0.229681529 0.09279536 2.475140234 0.02921709 0.027497808 0.431865249

9. What test did you perform?

  • a. Regression

10. What is the P-value?

  • d. 0.029217

11. What is the Statistical interpretation?

If the p-value is less than 0.05, we reject the null hypothesis that Beta 1 =0

  • a. Since the P-value is very small, we can conclude that more flyers will bring more customers.

12. What is the conclusion?

  • b. The test is conclusive; more flyers means more customers.

orchestra answered 2 years ago
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