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    Statistics - Regression

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    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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    https://brainmass.com/statistics/regression-analysis/regression-question-scatter-plot-207644

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    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.

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