(a) How many observations do you have in the data set? (b) Write down the corresponding regression model (c) Write down the estimated model (d) What's the R square and what does it mean? (e) Suppose you wanted to test whether the 'slopes' are jointly signifi- cantly different than zero? Write down the null hypothesis and the alternative hypothesis. At significance level of 1 per-cent, what do you conclude? (f) What is the estimated effect on sales from increasing the quality level by one unit, while holding fix advertisement investments? (g) What is the estimated effect on sales from decreasing advertisement investments by 2 units (that is 2k AUD). while holding fix quality level? (h) What are the estimated sales revenues of a firm that has quality level 0 and does not invest anything into advertisement? (i) What is the 95 per cent confidence interval of the coefficient estimator of quality level? I (i) Suppose you wanted to test whether investment in advertisement affects sales? What would be the null hypothesis, the test statistic. what would you conclude at the 1 per cent significance level?
(a) How many observations do you have in the data set? (b) Write down the corresponding regression model (c) Write down the estimated model (d) What's the R square and what does it mean? (e) Suppose you wanted to test whether the 'slopes' are jointly signifi- cantly different than zero? Write down the null hypothesis and the alternative hypothesis. At significance level of 1 per-cent, what do you conclude? (f) What is the estimated effect on sales from increasing the quality level by one unit, while holding fix advertisement investments? (g) What is the estimated effect on sales from decreasing advertisement investments by 2 units (that is 2k AUD). while holding fix quality level? (h) What are the estimated sales revenues of a firm that has quality level 0 and does not invest anything into advertisement? (i) What is the 95 per cent confidence interval of the coefficient estimator of quality level? I (i) Suppose you wanted to test whether investment in advertisement affects sales? What would be the null hypothesis, the test statistic. what would you conclude at the 1 per cent significance level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Need help with all
Expert Solution
Step 1: Given Information
The results of the regression of sales revenue on quality level and advertisement investments are given as
TABLE 1
Regression Statistics | |
Multiple R | 0.999485812 |
R Square | 0.998971888 |
Adjusted R Square | 0.998878423 |
Standard Error | 1.808545855 |
Observations | 25 |
TABLE 2
ANOVA RESULTS | |||||
df | SS | MS | F | Significance F | |
Regression | 2 | 69918.90249 | 34959.45124 | 10688. 22426 | 1.35658E - 33 |
Residual | 22 | 71.95843842 | 3.27083811 | ||
Total | 24 | 69990.86093 |
TABLE 3
Coefficients | Standard Error | t-Stat | P - value | Lower 95 % | Upper 95 % | |
Intercept | 13.7623304 | 17.17587708 | 0.801259251 | 0.431550907 | 21.8582585 | 49.3829193 |
Advertisement Investments | 1.450441963 | 0.434670743 | 3.33687506 | 0.00298855 | 0.548990015 | 2.35189391 |
Quality Level | 4.963522727 | 0.034878648 | 142.308346 | 4.13434E - 34 | 4.891188838 | 5.035856616 |
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman