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
Question
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
Solution
The equation of the line of best fit is y = 2.5x - 3. To predict the value of y when x = 3, we substitute x = 3 into the equation:
y = 2.5(3) - 3 y = 7.5 - 3 y = 4.5
So, the equation predicts that when x = 3, y = 4.5. Therefore, the answer is D. 4.5.
Similar Questions
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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