a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 14, implies that the average value of Y is 14. O B. The Y-intercept, bo = - 0.5, implies that when the value of X is 0, the mean value of Y is - 0.5. OC. The Y-intercept, bo = 14, implies that when the value of X is 0, the mean value of Y is 14. O D. The Y-intercept, bo = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units. b. Interpret the meaning of the slope, b, . Choose the correct answer below. O A. The slope, b, = - 0.5, implies that the average value of Y is -0.5. O B. The slope, b, =0.5, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.5 units. OC. The slope, b, = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units. O D. The slope, b, = - 0.5, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.5 units. c. Predict the mean value of Y for X=4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Fitting a straight line to a set of data yields the following prediction line. Complete (a) to (c) below.
ŷ; = 14 - 0.5X;
a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below.
O A. The Y-intercept, bo = 14, implies that the average value of Y is 14.
O B. The Y-intercept, bo = - 0.5, implies that when the value of X is 0, the mean value of Y is - 0.5.
OC. The Y-intercept, bo = 14, implies that when the value of X is 0, the mean value of Y is 14.
O D. The Y-intercept, bo = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units.
b. Interpret the meaning of the slope, b,. Choose the correct answer below.
O A. The slope, b, = - 0.5, implies that the average value of Y is - 0.5.
O B. The slope, b, =0.5, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.5 units.
Oc. The slope, b, = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units.
O D. The slope, b, = -0.5, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.5 units.
c. Predict the mean value of Y for X = 4.
Y; = (Type an integer or a decimal.)
Transcribed Image Text:Fitting a straight line to a set of data yields the following prediction line. Complete (a) to (c) below. ŷ; = 14 - 0.5X; a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 14, implies that the average value of Y is 14. O B. The Y-intercept, bo = - 0.5, implies that when the value of X is 0, the mean value of Y is - 0.5. OC. The Y-intercept, bo = 14, implies that when the value of X is 0, the mean value of Y is 14. O D. The Y-intercept, bo = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units. b. Interpret the meaning of the slope, b,. Choose the correct answer below. O A. The slope, b, = - 0.5, implies that the average value of Y is - 0.5. O B. The slope, b, =0.5, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 0.5 units. Oc. The slope, b, = 14, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 14 units. O D. The slope, b, = -0.5, implies that for each increase of 1 unit in X, the value of Y is estimated to decrease by 0.5 units. c. Predict the mean value of Y for X = 4. Y; = (Type an integer or a decimal.)
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