Residual Total 15 2002989 133533 18 4596695 Intercept 847.37 1496.497 1908.07 -13.66 0.566 1962 -0.290 -1689 0.580 0.069 -164.962 -164.962 Type Veight TypelVeight -73.45 972.591 47.099 43.493 0.776 -114.045 86.734 -114.045 86.734 0.112 -166.154 19.251 -166.154 19.251 There were 19 observations on which these regressions were based. Use the F statistic to test whether the addition of the "TypelVeight" variable is significant. Vhat is the F statistic and the p-value for that F statisito? 8. Ansver

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
100%

econometrics

120
121
Question 8
The two regressions below are evaluating the Retail Price of bikes. The first regression (Summary Report below) was done using "type" and "weight" as independent variables and the
second regression used "type", "weight", and an "interaction variable" (type times weight) as a third variable (2nd Summary Report below).
122
123
EIRST BEGBESSION (Te Independent Yariables)
SUMMARY OUTPUT
Regression Statisties
124
125
126
Multiple R
0.69
127
RSquare
0.48
128
Adjusted R Square
0.42
Standard Error 385.99
Observat
129
130
19
131
132
ANOVA
AVS
iicance F
7.43
133
2 2212853 1106427
16 2383841
Regression
0.01
134
135
Residual
148990
136
Total
18 4596695
137
Coefficientandard En t Stat
Pvaluetower 3pper ower 5Coper 5
138
I 771.94 1580.038
Intercept
139
0.489
0.632 ##### 4121.472 ##### 4121.472
140
Туре
Weight
329.87 284.728
1.159
0.264 -273.721 933.470 -273.721 933.470
141
-13.10
49.749
-0.263
0.796 -118.560 92.367 -118.560 92.367
142
SECOND BEGRESSION(Ihree independent Fariables)
SUMMARY OUTPUT
143
144
Regression Statistics
Multiple R 0.7512
RSquare 0.5643
Adjusted R Square 0.4771
Standard Error 365.42
145
146
147
148
149
150
Observations
19
151
152
ANOVA
df
Significance F
864568 6.4746 0.0050
153
MS
F
3 2593705
Regression
Residual
Total
154
155
15 2002989
133533
156
18 4596695
157
Canticion Stonderdi tStet
0.566
158
Intercept 847.37 1496.497
Туре
Weight
Typelweight -73.45
159
0.580 ##### ##### ##### #####
160
1908.07
972.591
1.962
0.069 -164.962 ##### -164.962 #####
161
-13.66
47.099
-0.290
0.776 -114.045 86.734 -114.045 86.734
162
43.493
-1.689
0.112 -166.154
19.251 -166.154
19.251
163
There were 19 observations on which these regressions were based.
Use the F statistic to test whether the addition of the "TyperWeight" variable is significant. What is the F statistic and the p-value for
164
165
166
that F statisitc?
8. Ansver
Transcribed Image Text:120 121 Question 8 The two regressions below are evaluating the Retail Price of bikes. The first regression (Summary Report below) was done using "type" and "weight" as independent variables and the second regression used "type", "weight", and an "interaction variable" (type times weight) as a third variable (2nd Summary Report below). 122 123 EIRST BEGBESSION (Te Independent Yariables) SUMMARY OUTPUT Regression Statisties 124 125 126 Multiple R 0.69 127 RSquare 0.48 128 Adjusted R Square 0.42 Standard Error 385.99 Observat 129 130 19 131 132 ANOVA AVS iicance F 7.43 133 2 2212853 1106427 16 2383841 Regression 0.01 134 135 Residual 148990 136 Total 18 4596695 137 Coefficientandard En t Stat Pvaluetower 3pper ower 5Coper 5 138 I 771.94 1580.038 Intercept 139 0.489 0.632 ##### 4121.472 ##### 4121.472 140 Туре Weight 329.87 284.728 1.159 0.264 -273.721 933.470 -273.721 933.470 141 -13.10 49.749 -0.263 0.796 -118.560 92.367 -118.560 92.367 142 SECOND BEGRESSION(Ihree independent Fariables) SUMMARY OUTPUT 143 144 Regression Statistics Multiple R 0.7512 RSquare 0.5643 Adjusted R Square 0.4771 Standard Error 365.42 145 146 147 148 149 150 Observations 19 151 152 ANOVA df Significance F 864568 6.4746 0.0050 153 MS F 3 2593705 Regression Residual Total 154 155 15 2002989 133533 156 18 4596695 157 Canticion Stonderdi tStet 0.566 158 Intercept 847.37 1496.497 Туре Weight Typelweight -73.45 159 0.580 ##### ##### ##### ##### 160 1908.07 972.591 1.962 0.069 -164.962 ##### -164.962 ##### 161 -13.66 47.099 -0.290 0.776 -114.045 86.734 -114.045 86.734 162 43.493 -1.689 0.112 -166.154 19.251 -166.154 19.251 163 There were 19 observations on which these regressions were based. Use the F statistic to test whether the addition of the "TyperWeight" variable is significant. What is the F statistic and the p-value for 164 165 166 that F statisitc? 8. Ansver
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman