Suppose the number of seconds required to accelerate to 60 mph depends on both a car’s weight, its horsepower, and an interaction term between the two variables. Describe why an interaction term could be appropriate for the variables in this model and construct three linear relationships between acceleration time and weight, each for a different assumed value of horsepower.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Suppose the number of seconds required to accelerate to 60 mph depends on both a car’s weight, its horsepower, and an interaction term between the two variables.

Describe why an interaction term could be appropriate for the variables in this model and construct three linear relationships between acceleration time and weight, each for a different assumed value of horsepower.

 

1 SUMMARY OUTPUT
2
3
4 Multiple R
5 R Square
Regression Statistics
A
Adjusted R Square
9
10 ANOVA
6
7 Standard Error
8 Observations
11
12 Regression
13 Residual
14 Total
15
16
17 Intercept
18 hp
19 curbwt
20
hp*curbwt
B
0.856730669
0.733987439
0.687044045
2.967605917
df
21
3
17
20
U
D
SS
MS
413.0930237 137.6976746
149.7136429
8.806684879
562.8066667
E
F
15.63558552
Coefficients Standard Error
t Stat
P-value
25.41936066 4.338034616 5.859649107 1.89327E-05
-0.161091493 0.035506341 -4.536978136 0.000291759
-0.000302296 0.002232767 -0.135390557 0.893893295
9.4596E-06 2.978662513 0.008429352
2.8177E-05
F
Significance F
3.87427E-05
Transcribed Image Text:1 SUMMARY OUTPUT 2 3 4 Multiple R 5 R Square Regression Statistics A Adjusted R Square 9 10 ANOVA 6 7 Standard Error 8 Observations 11 12 Regression 13 Residual 14 Total 15 16 17 Intercept 18 hp 19 curbwt 20 hp*curbwt B 0.856730669 0.733987439 0.687044045 2.967605917 df 21 3 17 20 U D SS MS 413.0930237 137.6976746 149.7136429 8.806684879 562.8066667 E F 15.63558552 Coefficients Standard Error t Stat P-value 25.41936066 4.338034616 5.859649107 1.89327E-05 -0.161091493 0.035506341 -4.536978136 0.000291759 -0.000302296 0.002232767 -0.135390557 0.893893295 9.4596E-06 2.978662513 0.008429352 2.8177E-05 F Significance F 3.87427E-05
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