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    Cholesterol and Body Mass Index

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    Cholesterol and Body Mass Index: use the following data set below and use the cholesterol levels (x) and body mass index values (y) of the 40 women.

    a.Based on a scatter plot, describe the relationship between the variables.

    b.Find r-squared and use it to determine the value of the correlation coefficient. Is the correlation positive or negative and why?

    c.Test the significance of the correlation coefficient at  = 0.05.

    d.State the hypotheses: Ho :
    H1 :
    e.Find the p-value and make a decision.

    f.Find the equation of the regression line.

    g.Predict the value for the body mass index of a woman having a cholesterol level of 500. What is the best predicted value for the body mass index of a woman having a cholesterol level of 500?

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    Solution Preview

    Cholesterol and Body Mass Index: use the following data set below and use the cholesterol levels (x) and body mass index values (y) of the 40 women.

    a.Based on a scatter plot, describe the relationship between the variables.

    Based on the scattered plot, most of the data is in the region of 0-40 for BMI and 0-650 for Cholesterol. It seems that there is one outlier that is (920, 22.8). However, most of the variables are within the region.

    b.Find r-squared and use it to determine the value of the correlation coefficient. Is the correlation positive ...

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