Fitting a straight line to a set of data yields the following prediction line. Complete​ (a) through​ (c) below. Yi=2+8Xi a. Interpret the meaning of the​ Y-intercept, b0. Choose the correct answer...




Fitting a straight line to a set of data yields the following prediction line. Complete​ (a) through​ (c) below.


Yi=2+8Xi







a. Interpret the meaning of the​ Y-intercept,
b0.

Choose the correct answer below.







A.


The​ Y-intercept,
b0=8​,

implies that when the value of X is​ 0, the mean value of Y is 8.






B.


The​ Y-intercept,
b0=2​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
2

units.






C.


The​ Y-intercept,
b0=2​,

implies that the average value of Y is 2.






D.


The​ Y-intercept,
b0=2​,

implies that when the value of X is​ 0, the mean value of Y is 2.






b. Interpret the meaning of the​ slope,
b1.

Choose the correct answer below.







A.


The​ slope,
b1=8​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
8

units.






B.


The​ slope,
b1=8​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to decrease by
8

units.






C.


The​ slope,
b1=8​,

implies that the average value of Y is 8.






D.


The​ slope,
b1=2​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
2

units.






c. Predict the mean value of Y for X=2.



Yi=enter your response here

​(Simplify your​ answer.)


Jun 11, 2022
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