3. Using the regression line to make predictions AaAa Suppose you are a dolphin

Question

3. Using the regression line to make predictions AaAa 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 Diana Frederick Fatima Marlin Attempts 7 2 4 You can use the preceding sample data to obtain the regression line, where?isthe predicted value of Y: bX+ a One formula for the slope of the regression line is as follows: (X-X)2

Explanation / Answer

Ans:

sxy= 4*65-10*28=260-280=-20

sxx=4*30-102=120-100=20

slope=-20/20=-1

y-intercept=(28-(-1)*10)/4=38/4=9.5

Regression eqn:

y=9.5-x

Number of treats(x) Number of attempts(y) xy x^2 y^2 3 7 21 9 49 2 8 16 4 64 4 5 20 16 25 1 8 8 1 64 Total 10 28 65 30 202 Slope,b= -1 y-intercept,a= 9.5

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