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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Forty observations were used to estimate y = Bo + ẞ1x1 + B2x2 + ε. The regression results are shown in the accompanying table.
Coefficients
Intercept
x1
x2
13.83
-2.53
0.29
Standard Error
t Stat
2.42
0.15
5.71
-16.87
p-Value
1.56E-06
5.84E-19
0.06
4.83
2.38E-05
a. Interpret the point estimate for ẞ1.
As x1
increases by 1 unit, y is predicted to decrease by 2.53 units.
As x1 increases by 1 unit, y is predicted to increase by 0.29 units.
As x1 increases by 1 unit, y is predicted to decrease by 2.53 units, holding x2 as a constant.
As
x1
increases by 1 unit, y is predicted to increase by 0.29 units, holding x2 as a constant.
b. What is the sample regression equation? (Negative value should be indicated with a minus sign. Round final answer to 2 decimal
places.)
ŷ =
+
X1
X2-
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Transcribed Image Text:Forty observations were used to estimate y = Bo + ẞ1x1 + B2x2 + ε. The regression results are shown in the accompanying table. Coefficients Intercept x1 x2 13.83 -2.53 0.29 Standard Error t Stat 2.42 0.15 5.71 -16.87 p-Value 1.56E-06 5.84E-19 0.06 4.83 2.38E-05 a. Interpret the point estimate for ẞ1. As x1 increases by 1 unit, y is predicted to decrease by 2.53 units. As x1 increases by 1 unit, y is predicted to increase by 0.29 units. As x1 increases by 1 unit, y is predicted to decrease by 2.53 units, holding x2 as a constant. As x1 increases by 1 unit, y is predicted to increase by 0.29 units, holding x2 as a constant. b. What is the sample regression equation? (Negative value should be indicated with a minus sign. Round final answer to 2 decimal places.) ŷ = + X1 X2-
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