# Statistics - Regression

Please see the attached file.

The scatter-plot above shows the proportion of perch eaten by bass against the number of perch in a pen before the bass were let in. There is a roughly linear pattern. The least-squares line for predicting proportion eaten from initial count of perch is:

Proportion eaten= 0.120 + (0.0086 x count)

a). When 10 more perch are added to a pen, what happens to the proportion that are eaten (according to the line)? Explain your answer.

b). If there is no perch in a pen, what proportion does the line predict will be eaten? Explain why this prediction is nonsense. What is wrong with using the regression line to predict y when x=0? You see that the intercept, though it is needed to draw the line, may have no statistical interpretation if x=0 is outside the range of the data.

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#### Solution Preview

perch Proportion eaten

10 0 .1 .3 .3

20 0.2 .3 .3 .6

40 0.075 .3 .6 .725

60 0.517 .55 .7 .817

The scatter-plot above shows the proportion of perch eaten by bass against the number of perch in a pen before the bass were let in. There is a ...

#### Solution Summary

The expert examines a regression question using a scatter-plot. A complete, neat and step-by-step solution is provided in the attached file.