Problem Set 1

    This assignment uses the sample data for X = hours per week and Y = hourly wage on the course website.

    1. Calculate the sample mean and the sample variance for hours per week.
    2. Calculate the sample mean and the sample variance for the hourly wage
    3. Calculate the sample skewness for hours per week.  Report it as a ratio to the sample variance raised to the 3/2 power.
    4. Calculate the cross tabulation table of relative frequencies between hours per week and the hourly wage.
    5. Calculate the sample means of the hourly wage conditional on each value for hours per week

    Problems 51, 53 on page 66.

    1. The dataset Fortune provides data on stockholders’ equity, market value, and profits for a sample of 50 Fortune 500 companies.
      1. Prepare a crosstabulation for the variables Stockholders’ Equity and Profit. Determine which classes would be useful.
      2. Compute the row percentages for your crosstabulation in part (a).
      3. What relationship, if any do you notice between Profit and Stockholders’ Equity?
    2. Refer to the dataset in problem 51.
      1. Prepare a scatter diagram to show the relationship between the variables Profit and Stockholders’ Equity. (This can be done in Excel.)
      2. Comment on any relationship between the variables.

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