5. Computing the regression line and making predictions Aa Aa Suppose you are a

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5. Computing the regression line and making predictions Aa Aa Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Number of Number of Dolphin Treats Attempts Diana Frederick Fatima Marlin 2 4 You can use the preceding sample data to obtain the regression line, where Y is the predicted value of Y: bX + a One formula for the slope of the regression line is as follows: SP To calculate the slope, first calculate SP and ss: , and ss, (Hint: For SP use the computational formula and for SS, use the definitional formula.)

Explanation / Answer

SP = -20

SSx = 20

Slope = -1

intercept = 7.5

when x = 5, then y = 7. 5 - 1*5 = 2.5

when x = 8, then y = -0.5

but here it is considered as '0', so 4th option is correct

predicted Residuals 5.5 -0.5 3.5 0.5 6.5 0.5 4.5 -0.5

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