Question

In: Statistics and Probability

The owner of a movie theater company would like to predict weekly gross revenue as a...

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=

Solutions

Expert Solution

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)


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