Fitting a straight line to a set of data yields the prediction line ModifyingAbo
ID: 3326368 • Letter: F
Question
Fitting a straight line to a set of data yields the prediction line
ModifyingAbove Upper Y with caret Subscript i Baseline equals 6 plus 8 Upper X Subscript iYi=6+8Xi.
The values of X used to find the prediction line range from
66
to
2626.
a. Should this model be used to predict the mean value of Y when X equals
77?
b. Should this model be used to predict the mean value of Y when X equals
negative 77?
c. Should this model be used to predict the mean value of Y when X equals
00?
d. Should this model be used to predict the mean value of Y when X equals
2525?
a. Should this model be used to predict the mean value of Y when X equals
77?
Yes
No
Not enough information
b. Should this model be used to predict the mean value of Y when X equals
negative 77?
Yes
No
Not enough information
c. Should this model be used to predict the mean value of Y when X equals
00?
Yes
No
Not enough information
d. Should this model be used to predict the mean value of Y when X equals
2525?
Yes
No
Not enough information
Explanation / Answer
Solution:
For the given regression model, the range of dependent variable is given as 6 to 26.
a. Should this model be used to predict the mean value of Y when X equals 7?
Answer:
Yes
Because the value of X =7 is lies within the range 6 to 26.
b. Should this model be used to predict the mean value of Y when X equals -7?
Answer:
No
Because the value of X = -7 is not lies within the range 6 to 26.
c. Should this model be used to predict the mean value of Y when X equals 0?
Answer:
No
Because the value of X = 0 is not lies within the range 6 to 26.
d. Should this model be used to predict the mean value of Y when X equals 25?
Answer:
Yes
Because the value of X =25 is lies within the range 6 to 26.
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