MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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d) At a = 0.05, test for the significance of the coefficient of number of salespeople.
State the null and alternative hypotheses. (Enter != for # as needed.)
B₁₂=0
B₂!=0
Ho
Ha
Find the value of the test statistic. (Round your answer to two decimal places.)
2.61
x
Find the p-value. (Round your answer to four decimal places.)
p-value
= .0349
X
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that is significant.
O Do not reject Ho. There is insufficient evidence to conclude that ß, is significant.
O
Reject Ho. There is insufficient evidence to conclude that ß, is significant.
2
O Do not reject Ho. There is sufficient evidence to conclude that B₂ is significant.
(e) If the company uses $48,000 in advertisement and has 790 salespeople, what are the expected sales? Give your answer in dollars.
69
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Transcribed Image Text:d) At a = 0.05, test for the significance of the coefficient of number of salespeople. State the null and alternative hypotheses. (Enter != for # as needed.) B₁₂=0 B₂!=0 Ho Ha Find the value of the test statistic. (Round your answer to two decimal places.) 2.61 x Find the p-value. (Round your answer to four decimal places.) p-value = .0349 X State your conclusion. O Reject Ho. There is sufficient evidence to conclude that is significant. O Do not reject Ho. There is insufficient evidence to conclude that ß, is significant. O Reject Ho. There is insufficient evidence to conclude that ß, is significant. 2 O Do not reject Ho. There is sufficient evidence to conclude that B₂ is significant. (e) If the company uses $48,000 in advertisement and has 790 salespeople, what are the expected sales? Give your answer in dollars. 69 Need Help? Submit Answer f and on Read It Viewing Saved Work Revert to Last Response 0 hp □ X EW
You may need to use the appropriate technology to answer this question.
The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x, in thousands of dollars), and number of salespeople (x₂) for a corporation. The regression
was performed on a sample of 10 observations.
?
Constant
Ho:
X1
Ha
x2
F
in off and on
Coefficients
(a) Write the regression equation.
-11.320
0.788
0.151
f3
Standard Error
-11.320 +0.788x₁ +0.151x2
20.452
(b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.)
As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788
to increase by $.151
X when advertising is held constant.
J
(c) At a = 0.05, test for the significance of the coefficient of advertising.
State the null and alternative hypotheses. (Enter != for # as needed.)
B₁ = 0
B₁!= 0
Find the value of the test statistic. (Round your answer to two decimal places.)
2.61
0.302
0.218
Find the p-value. (Round your answer to four decimal places.)
p-value H 0349
State your conclusion.
0/
10
4-
00
4+
i
&
144
*
fg
X when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected
DII
hp
f10
DDI
12
insert
prt sc
5
←
delete
backspace
home
num
lock
end
6:15 PM
11/29/2022
pg up
pg dh
expand button
Transcribed Image Text:You may need to use the appropriate technology to answer this question. The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x, in thousands of dollars), and number of salespeople (x₂) for a corporation. The regression was performed on a sample of 10 observations. ? Constant Ho: X1 Ha x2 F in off and on Coefficients (a) Write the regression equation. -11.320 0.788 0.151 f3 Standard Error -11.320 +0.788x₁ +0.151x2 20.452 (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788 to increase by $.151 X when advertising is held constant. J (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for # as needed.) B₁ = 0 B₁!= 0 Find the value of the test statistic. (Round your answer to two decimal places.) 2.61 0.302 0.218 Find the p-value. (Round your answer to four decimal places.) p-value H 0349 State your conclusion. 0/ 10 4- 00 4+ i & 144 * fg X when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected DII hp f10 DDI 12 insert prt sc 5 ← delete backspace home num lock end 6:15 PM 11/29/2022 pg up pg dh
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