Fitting a straight line to a set of data yields the following prediction line. C
ID: 3069271 • Letter: F
Question
Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. a. Interpret the meaning of the Y-lintercept bo. Choose the correct answer below. A. TheY-intercept b =61mplies that for eachincrease of 1 unt inx the Value ofYis expected O B. The Y-intercept, b 6, implies that the average value of Y is 6. C) C. The Y-intercept. b -6, implies that when the value of X is 0, the mean value of Y is 6. O D. The Y-intercept, bo 7, implies that when the value of X is 0, the mean value of Y is 7. b. Interpret the meaning of the slope, b. Choose the correct answer below nrease by unit. O A. The slope, b 7, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 7 units. O B. The slope, b, 7, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 7 units. O C. The slope, b1 = 7, implies that the average value of Y is 7. Click to select your answer(s)Explanation / Answer
We have been given the regression equation.
Y(predicted) = 6 + 7X
a.
The correct answer is 'C.The Y-intercept, b0 = 6, implies that when the value of X is 0, the mean value of Y is 6.'
The Y- intercept is the value of the Y-axis when X is 0, or simply, the Y-value where the regression line cuts the Y-axis.
b.
The correct answer is 'A. The slope, b1 = 7, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 7 units.'
The slope, as defined in the answer, is the increase in Y with a unit change in X.
The C bit of the question has not been uploaded in the question. Please comment in the comment section if you need that to be solved too (please type out the question). Also, please let me know if you need any further explanation with the answer or the topic. Happy learning!
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