Question: A researcher believes that self control is related to number of arrests (lifetime). She takes a sample of 11 twenty one year old male arrestees and administers a self-control scale whose scores can go from 0 (lowest possible level of self control) to 22 (highest possible level of self control). She then collects data on arrest histories of the men and records the number of arrests and calculates the following values for the means, standard deviations and the covariance of X and Y. Assume that she has appropriate Institutional Review Board (IRB) approval and appropriate signed informed consent forms from all participants in the study.

The mean Self Control score (X) is 12.00; the standard deviation of X is 6.6333 The mean Number of Arrests (Y) is 6.00; the standard deviation of Y is 3.3222 The covariance of X and Y is -22. (negative 22)

Note: all the information you need to calculate a, b, r ² and r is given above.

1. Calculate b. Round your answer to 2 decimal places when using it in further calculations.
2. Calculate a
3. Calculate r ²
4. Calculate r
5. Use the values you have found for a and b to calculate the predicted value of Y when X is 17.
6. Describe the relationship between Self control and Number of arrests (lifetime).

Her original raw data are shown below.

Case Self Number of

ID Control Arrests

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document