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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Scottish Hill Climb races
We want to predict the record time for men in a Scottish Hill Climb race. There are two x variables
to choose from, Distance and Climb.
Here is the information for the 3 dimensional relationship between x1, x2, and Y.
Multiple Linear Relationship for the men:
Coefficients for men:
Term
Coef
SE Coef
T-Value P-Value
Constant
-10.36
1.26
-8.23
0.000
Distance(km)
4.043
0.146
27.73
0.000
Climb (m)
0.03421
0.00220
15.57
0.000
Model Summary for men:
R-sq
R-sq(adj)
R-sq(pred)
6.66081
98.01%
97.97%
97.77%
If we are asked to carry out the hypothesis tests for the net regression coefficients using the
information above, how many hypothesis tests should we be doing?
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Transcribed Image Text:Scottish Hill Climb races We want to predict the record time for men in a Scottish Hill Climb race. There are two x variables to choose from, Distance and Climb. Here is the information for the 3 dimensional relationship between x1, x2, and Y. Multiple Linear Relationship for the men: Coefficients for men: Term Coef SE Coef T-Value P-Value Constant -10.36 1.26 -8.23 0.000 Distance(km) 4.043 0.146 27.73 0.000 Climb (m) 0.03421 0.00220 15.57 0.000 Model Summary for men: R-sq R-sq(adj) R-sq(pred) 6.66081 98.01% 97.97% 97.77% If we are asked to carry out the hypothesis tests for the net regression coefficients using the information above, how many hypothesis tests should we be doing?
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