You estimate a regression equation Y = a + b1X1 + b2X2 + b3X3 on a data set of 300 observations and obtain the following results: R-squared 0.83 standard error of regression = 45.0 F-statistic 93.4 (p-value .0007) Coefficient Estimates t-statistic for Estimate p value in () a - 100.0 b1 = 25.0 b2 = 15.0 b3 = 10.0 The null hypothesis that b1 = b2 = b3 - 0. 12.53 (p < .001) 0.82 (p - 0.61) 4.73 (p<.01) 14.63 (p < .001) is strongly reiected using 5% critical value

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You estimate a regression equation Y = a + b1X1 + b2X2 + b3X3 on a data set of 300 observations and obtain the
following results:
R-squared = 0.83
standard error of regression = 45.O
F-statistic = 93.4 (p-value = .0007)
Coefficient Estimates t-statistic for Estimate p-value in(_)
a = 100.0
b1 = 25.0
12.53 (p < .001)
0.82 (p - 0.61)
4.73 (p < .01)
14.63 (p < .001)
The null hypothesis that b1 = b2 = b3 = 0.
b2 = 15.0
b3 = 10.0
is strongly rejected using 5% critical value
cannot be rejected using 5% critical value
is in the range of no clear determination using 5% critical value
Transcribed Image Text:You estimate a regression equation Y = a + b1X1 + b2X2 + b3X3 on a data set of 300 observations and obtain the following results: R-squared = 0.83 standard error of regression = 45.O F-statistic = 93.4 (p-value = .0007) Coefficient Estimates t-statistic for Estimate p-value in(_) a = 100.0 b1 = 25.0 12.53 (p < .001) 0.82 (p - 0.61) 4.73 (p < .01) 14.63 (p < .001) The null hypothesis that b1 = b2 = b3 = 0. b2 = 15.0 b3 = 10.0 is strongly rejected using 5% critical value cannot be rejected using 5% critical value is in the range of no clear determination using 5% critical value
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