Below is the Minitab output from a regression of predicting the number of Traile
ID: 3156138 • Letter: B
Question
Below is the Minitab output from a regression of predicting the number of Trailers purchased from the number of Boats purchased
Regression Analysis: Trailers versus Boats
a)What percentage of variation in the number of trailers purchased is explained by the number of boats purchased?
100%
0%
89.6%
91.7%
b)Determine the coefficient of correlation (r) between TRAILERS and BOATS. Is the sign positive or negative?
0.896
-0.958
0.958
0.917
0.947
c)Determine the best-fit linear regression equation for estimating TRAILERS on the basis of BOATS. Identify and interpret the slope of the equation in the context of the question.
d)What would be the estimated number of trailers purchased if 500 boats were purchased?
522
123
255
633
A.100%
B.0%
C.89.6%
D.91.7%
Regression Analysis: Trailers versus Boats The regression equation is Trailers = -166 + 0.577 Boats Predictor Constant -165.67 52 Boats Coef SE Coef tant -165.67 52.15 -3.18 0.034 0.57711 0.08686 6. 64 0.003 S = 5.66591 R-Sq 91.7% R-Sq (adj) 89.6% = =Explanation / Answer
a)
It is the r^2 value,
OPTION C: 89.6% [ANSWER]
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b)
The slope is positive (0.577), so the correlation is positive, so
r = sqrt(0.896) = 0.947 [ANSWER, E]
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c)
As given,
Trailers = -166 + 0.577Boats
Hence, for every additional 1 Boat Purchased, there is an expected increase of 0.577 in Trailers purchased.
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D)
If Boats = 500,
Trailers = -166 + 0.577*500 = 122.5 = 123 [ANSWER, B]
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