Fitting a straight line to a set of data yields the following prediction line. C

Question

Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. ,13-0.4X a. Interpret the meaning of the Y-intercept, bo Choose the correct answer below. O A. The Y-intercept, bo 13, implies that the average value of Y is 13. O B. The Y-intercept, bo-13, implies that when the value of X is 0, the mean value of Y is 13 ° C. The Y-intercept, bo-13, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 13 units. D. The Y-intercept. b,--04, implies that when the value of X is 0, the mean value of Y is-04. b. Interpret the meaning of the slope, by. Choose the correct answer belovw OA. The slope, b, 0.4, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.4 units. O B. The slope, b, 0.4, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.4 units. O C. The slope, b10.4, implies that the average value of Y is -0.4 O D. The slope, b1-13, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 13 units. c. Predict the mean value of Y for X4. Click to select your answer(s)

Explanation / Answer

a. The correct answer is (A) because in linear regression equation applying least square method we get that in

y=a+b *x where a = mean(y)

so here bo denotes the average ofy is 13

b . The correct answer is (A) becuase in   because in linear regression equation applying least square method we get that in y = a+ b *x implies for each increment of x the epected change of y .

c.the value is

13- 0.4 * 4

=13-1.6

= 11.4

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