A recent article in Bloomberg Businessweek listed the "best small companies". We are interested in the current result of the companies' sales and earnings. A random sample of 12 companies was selected and the sales and earnings, millions of dollars, were reported. Using regression analysis, the following output was produced. Can you conclude that the slope of the regression line is different from Zero? (assume a=.01) a.  Yes, reject H1 and conclude the slope is different from zero. b.  No, do not reject H0 and conclude the slope is not different from zero. c.  Yes, reject H0 and conclude the slope is different from zero. d.  No, don't reject H1 and conclude the slope is not different from zero.

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ISBN:9781119256830
Author:Amos Gilat
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A recent article in Bloomberg Businessweek listed the "best small companies". We are interested in the current result of the companies' sales and earnings. A random sample of 12 companies was selected and the sales and earnings, millions of dollars, were reported. Using regression analysis, the following output was produced.

Can you conclude that the slope of the regression line is different from Zero? (assume a=.01)

a.  Yes, reject H1 and conclude the slope is different from zero.

b.  No, do not reject H0 and conclude the slope is not different from zero.

c.  Yes, reject H0 and conclude the slope is different from zero.

d.  No, don't reject H1 and conclude the slope is not different from zero.

 

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
0.673499252
0.453601243
Adjusted R Squal
0.398961367
Standard Error
2.517682753
Observations
12
ANOVA
df
SS
MS
Significance F
Regression
52.62190221
52.62190221 8.301652179
0.01635022
Residual
10
63.38726446 6.338726446
Total
11
116.0091667
Coefficients
Standard Eror
t Stat
P-vakue
Lower 95%
Intercept
1.851735873
1.412571728 1.310896881 0.219196986
-1.295670076
Sales
0.083574475
0.029006237
2.881258784
0.01635022
0.018944552
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.673499252 0.453601243 Adjusted R Squal 0.398961367 Standard Error 2.517682753 Observations 12 ANOVA df SS MS Significance F Regression 52.62190221 52.62190221 8.301652179 0.01635022 Residual 10 63.38726446 6.338726446 Total 11 116.0091667 Coefficients Standard Eror t Stat P-vakue Lower 95% Intercept 1.851735873 1.412571728 1.310896881 0.219196986 -1.295670076 Sales 0.083574475 0.029006237 2.881258784 0.01635022 0.018944552
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