In: Statistics and Probability
The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.
Weekly Gross Revenue ($1,000s) |
Television Advertising ($1,000s) |
Newspaper Advertising ($1,000s) |
---|---|---|
96 | 5 | 1.5 |
91 | 2 | 2 |
95 | 4 | 1.5 |
93 | 2.5 | 2.5 |
95 | 3 | 3.3 |
94 | 3.5 | 2.3 |
94 | 2.5 | 4.1 |
94 | 3 | 2.5 |
(a)
Use α = 0.01 to test the hypotheses
H0: | β1 = β2 = 0 |
Ha: | β1 and/or β2 is not equal to zero |
for the model
y = β0 + β1x1 + β2x2 + ε,
where
x1 | = | television advertising ($1,000s) |
x2 | = | newspaper advertising ($1,000s). |
(A) Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
(B) Find the value of the test statistic. (Round your answer to two decimals places.)
p-value=
(C) Find the value of the test statistic. (Round your answer to two decimals places.)
p-value=
I have used excel to fit the regression and summary result--
Steps are --
Enter data>>Data>>Data Analysis>>Regression>>Enter Y and X range >>OK
The output of excel is ---
From above output,
A) For intercept,
Value of test statistic =85.76
P-Value=0
B) For Slope coefficient of Television,
Value of test statistic =1.82
P-Value=0.001
C) For Slope coefficient of newspaper,
Value of test statistic =0.98
P-Value=0.011
( Please give thumps up, if you like the answer)