Fitting a straight line to a set of data yields the following prediction line. C
ID: 3319252 • Letter: F
Question
Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c)below. Y 15-0.9X a. Interpret the meaning of the Y-intercept, bp. Choose the correct answer below. A. The Yintercept, bo-15, implies that the average value of Y is 15. B. The Y-intercept, b,-15, implies that for each increase of 1 unit in X. the value of Y is expected to increase by 15 units O C. The Y-intercept, b0.9, implies that when the value of X is 0, the mean value of Y is -0.9. D. The Y intercept, bo-15, implies that when the value of X is 0, the mean value of Y is 15 b. Interpret the meaning of the slope, b1- Choose the correct answer below. A. B. C. The slope. b1-15. implies that for each increase of 1 unit X, te value of Y is expected to increase by 15 units The slope. b1-0.9. mples that for each increase of 1 unit in X, the value of Y is expected to increase by 0.9 units. The slope, b,--0.9, implies that the average value of Y is-0.9. D. The slope, b1 =-09, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.9 units c. Predict the mean value of Y for X-6. q- (Type an integer or a decimal )Explanation / Answer
the regression equation is y=15-0.9x
a) y intercept means that when x is 0, mean y is 15, thus answer is D
b) slope is -0.9, option D
c) putting value of x=6 in the equation we get the predicted y as 15-0.9*6=9.6
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