Question: (4 pts, adapted from textbook)_In a large statistics class, students reported their ideal and actual weights (in pounds). When the males and females are not

(4 pts, adapted from textbook)_In a large statistics class, students reported their ideal and actual weights (in pounds). When the males and females are not separated, the regression equation is Ideal = 8.0 + 0.9 Actual

When the males and females are separated, the regression equations are

For females: Ideal = 43.9 + 0.6 Actual

For males: Ideal = 52.5 + 0.7 Actual

  1. (2 pts) Draw the three regression lines in the same graph. You can use computer software to generate the graph. Or you can hand-draw the graph.

  1. (2 pts) Estimate the ideal weight based on the combined regression equation and the ideal weights based on separate regression equations, for individuals whose actual weight is 150 pounds. Among these three equations, which one gives you the largest estimated ideal weight? Which one gives you the smallest estimated ideal weight? Please show your work.

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