a) Write out the regression equation using the results from above. b) Interpret the coefficient on Weight.

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c) The store owner lets you know they are introducing a new bike. Using your model above what is your prediction
for the price of the new bike if the bike weighs 17 pounds and is American Made.
Transcribed Image Text:c) The store owner lets you know they are introducing a new bike. Using your model above what is your prediction for the price of the new bike if the bike weighs 17 pounds and is American Made.
Searching for solitary activities this past year you have gotten into road biking. Looking to upgrade your ride for next
year you have been looking at high end bikes. Using data from your local bike store you ran a regression on the ten
brands they carry. The output is shown below.
Your independent variable was Price. AmericanMade is a dummy variable with a 1 for Bikes made in the US and a 0 for
Bikes made elsewhere. Weight is measured in pounds.
SUMMARY
OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R
Square
0.935
0.875
0.839
Standard Error
964.770
Observations
10
ANOVA
df
S
MS
F
Significance F
Regression
Residual
Total
2 45605338 22802669 24.49844
0.000691
7
6515462
930780.3
9 52120800
Standard
Upper
Lower
Upper
Coefficients
Error
t Stat
P-value
Lower 95%
95%
95.0%
95.0%
36268.56
Intercept
AmericanMade
27877.15
3548.73
7.86
0.0001
19485.74 36268.56
19485.74
551.15
693.75
0.79
0.4530
-1089.31
2191.60
-1089.31
2191.60
Weight (Ibs)
-1390.84
215.62
-6.45
0.0004
-1900.69
-880.99
-1900.69
-880.99
a) Write out the regression equation using the results from above.
b) Interpret the coefficient on Weight.
Transcribed Image Text:Searching for solitary activities this past year you have gotten into road biking. Looking to upgrade your ride for next year you have been looking at high end bikes. Using data from your local bike store you ran a regression on the ten brands they carry. The output is shown below. Your independent variable was Price. AmericanMade is a dummy variable with a 1 for Bikes made in the US and a 0 for Bikes made elsewhere. Weight is measured in pounds. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.935 0.875 0.839 Standard Error 964.770 Observations 10 ANOVA df S MS F Significance F Regression Residual Total 2 45605338 22802669 24.49844 0.000691 7 6515462 930780.3 9 52120800 Standard Upper Lower Upper Coefficients Error t Stat P-value Lower 95% 95% 95.0% 95.0% 36268.56 Intercept AmericanMade 27877.15 3548.73 7.86 0.0001 19485.74 36268.56 19485.74 551.15 693.75 0.79 0.4530 -1089.31 2191.60 -1089.31 2191.60 Weight (Ibs) -1390.84 215.62 -6.45 0.0004 -1900.69 -880.99 -1900.69 -880.99 a) Write out the regression equation using the results from above. b) Interpret the coefficient on Weight.
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