Fitting a straight line to a set of data yields the following prediction line. Complete​ (a) through​ (c) below. Yi=4+9Xi 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=4+9Xi







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

Choose the correct answer below.







A.


The​ Y-intercept,
b0=9​,

implies that when the value of X is​ 0, the mean value of Y is 9.






B.


The​ Y-intercept,
b0=4​,

implies that when the value of X is​ 0, the mean value of Y is 4.






C.


The​ Y-intercept,
b0=4​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
4

units.






D.


The​ Y-intercept,
b0=4​,

implies that the average value of Y is 4.






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

Choose the correct answer below.







A.


The​ slope,
b1=9​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
9

units.






B.


The​ slope,
b1=4​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to increase by
4

units.






C.


The​ slope,
b1=9​,

implies that for each increase of 1 unit in​ X, the value of Y is expected to decrease by
9

units.






D.


The​ slope,
b1=9​,

implies that the average value of Y is 9.






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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