d. Assume that during the data analysis process the researcher switched the variables and put age in the y-axis and the serum cholesterol level on the x-axis. What effect would this have on the correlation coefficient r?

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3. Here is a scatterplot that compares age vs. serum cholesterol levels for 30 randomly selected
adults in a local medical clinic. Assume that the correlation coefficient is r = 0.59.
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Age
Does the data contain anv outliers? If so, provide the coordinates of the outliers.
b. Whwould happen to the correlation coefficient r if the susnected outlierremoved?
Briefly explain.
c. Under what circumstances could we concide
Would it De better to not dO S0T Expran.
d. Assume that during the data analysis process the researcher switched the variables and
put age in the y-axis and the serum cholesterol level on the x-axis. What effect would this
have on the correlation coefficient r?
Cholesterol Serim Level mg/dL
Transcribed Image Text:3. Here is a scatterplot that compares age vs. serum cholesterol levels for 30 randomly selected adults in a local medical clinic. Assume that the correlation coefficient is r = 0.59. 450 400 350 300 250 200 150 100 50 10 20 30 40 50 60 70 80 Age Does the data contain anv outliers? If so, provide the coordinates of the outliers. b. Whwould happen to the correlation coefficient r if the susnected outlierremoved? Briefly explain. c. Under what circumstances could we concide Would it De better to not dO S0T Expran. d. Assume that during the data analysis process the researcher switched the variables and put age in the y-axis and the serum cholesterol level on the x-axis. What effect would this have on the correlation coefficient r? Cholesterol Serim Level mg/dL
Expert Solution
Step 1

d)

Correlation:

 

Correlation analysis is used to measure the strength of the association between variables.

 

  • Form:

The form of the association describes whether the data points follow a linear pattern or some other complicated curves. For data if it appears that a line would do a reasonable job of summarizing the overall pattern in the data. Then, the association between two variables is linear.

 

  • Direction:

If the above average values of variable tend to correspond to above average values of another variable, then the direction is positive. If the below average values of variable tend to correspond to above average values of another variable, then the direction is negative.

 

  • Strength:

The association is said to be strong if all the points are close to the straight line. It is said to be weak if all points are far away from the straight line and it is said to be moderate if the data points are moderately close to straight line.

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