UNC-Chapel Hill SOCI 052 - Regression and Correlation Assignment

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Regression and CorrelationAssignmentObjective: The aim of this assignment is to give you experience calculating measures of association for interval-ratio variables using data from the class survey. Directions: Use the following two variables (TV organz) from the class survey data to complete the following tasks and to answer the following questions. To make this exercise easier, only use the first 15 cases from the data set.1. Using the gird below, create a scatter diagram to show the relationship between the two variables. Assume that “TV” is the independent variable and “organz” is the dependent variable. What does the scatter diagram show? Does there appear to be a linear relationship between the number of hours spent watching television on a typical day and the number of student organizations that one belongs to?2. Calculate the following statistics:a. The covariance of the “orgnz” and “TV”b. The variance of “TV” c. The mean of “orgnz”d. The mean of “TV”3. Use the statistics calculated in part 2 to estimate the linear regression equationfor the effect of “TV” on “organz.” What does this linear regression equation tell us? How would you interpret the intercept and the slope?4. Calculate the predicted value for the number of organizations for 3 hours of television watching.5. Calculate the variance of “organz.” Using this calculation, along with the calculations from part 2, calculated the coefficient of determination (r2) for therelationship between “organz” and “TV.” What does the coefficient of determination (r2) tell us about the relationship between the number of hours spent watching television on a typical day and the number of student organizations that one belongs to?6. Calculate Pearson’s correlations coefficient (r ) for the relationship between the number of hours spent watching television on a typical day and the number of student organizations that one belongs to. Be sure to retain the sign of the covariance (i.e. if the covariance is negative so is the Pearson’s correlation coefficient). What does this tell us about the relationship between the number of hours spent watching television on a typical day and the number of student organizations that one belongs


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UNC-Chapel Hill SOCI 052 - Regression and Correlation Assignment

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