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Fitting a straight line to a set of data yields the following prediction line.Complete(a)through(c)below. Y1=9+3X a.Interpret the meaning of the Y-intercept,bo.Choose the correct answer below. OA.The Y-intercept,bo=9,implies that the average value of Y is 9. OB.The Y-intercept,bo=9,implies that when the value of X is 0,the mean value of Y is 9. C.The Y-intercept,bo=3,implies that when the value of X is 0,the mean value of Y is 3. OD.The Y-intercept,bo=9,implies that for each increase of 1 unit in X,the value of Y is expected to increase by 9 units.

Question

Fitting a straight line to a set of data yields the following prediction line.Complete(a)through(c)below. Y1=9+3X a.Interpret the meaning of the Y-intercept,bo.Choose the correct answer below. OA.The Y-intercept,bo=9,implies that the average value of Y is 9. OB.The Y-intercept,bo=9,implies that when the value of X is 0,the mean value of Y is 9. C.The Y-intercept,bo=3,implies that when the value of X is 0,the mean value of Y is 3. OD.The Y-intercept,bo=9,implies that for each increase of 1 unit in X,the value of Y is expected to increase by 9 units.

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Solution

The correct answer is OB. The Y-intercept, bo=9, implies that when the value of X is 0, the mean value of Y is 9. This is because in the equation of a straight line (Y = mx + b), the Y-intercept (b) is the value of Y when X is 0.

Similar Questions

A data set consists of the following data points:(3, 5), (5, 8), (6, 13)The line of best fit has the equation y = 2.5x – 3. What does this equation predict for a value of x = 3?A.7.5B.6C.9D.4.5

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Imagine a straight line through your data. Does the intercept of that line match what you would expect? Explain your reasoning.

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