Question: You will first describe and interpret correlation and regression results. Then you will run your own multivariate correlation and regression. How to run a correlation

You will first describe and interpret correlation and regression results. Then you will run your own multivariate correlation and regression.

How to run a correlation in SPSS. Click Analyze Correlate Bivariate. Put your variables into the variables column.

How to run a regression in SPSS. Make sure you have your GSS2014 data loaded up. Click on Analyze Regression Linear. In the dependent field, move the variable WWWHRS. In the independent field put your independent variables (start with AGE). Click on statistics. Make sure that estimates, model fit, and descriptives are selected. Hit Continue. Cut and paste the output into a word file (the output for question 1 is included at the end of this assignment. You will need to do question 2 on your own).

Please remember to look at your lecture slides and readings to help guide you through this homework! Illustrations of the output as well as the language for interpretation, particularly for regression coefficients, can be found there!

Questions:

  1. A researcher believes that there will be a negative relationship between age and use of the internet. She first runs a correlation. Then she runs a bivariate regression. Use the tables at the end of this document to answer the following questions. Be sure to use the lecture slides and readings to help you!
    1. Describe and interpret the correlation coefficient.
    2. Describe and interpret the model.
    3. Describe and interpret the regression coefficient from the coefficients table.
      1. this researcher hypothesized that age and internet use (hours per week) are negatively correlated. The null hypothesis is that age has no effect on internet use. Evaluate both of these hypotheses.
    4. Finally, write out the equation for the regression line. Then Using the "Descriptive Statistics" table, calculate the predicted value of your dependent variable (hours per week using the internet) at the mean of your independent variable (age). [Hint: this is plain plug and chug].
  2. The researcher wants your help! She has additional variables that she thinks will help her better understand what the factors are driving internet use. She thinks age [AGE], education [measured using the EDUC variable], and mental health [measured using the MNTLHLTH variable - days of poor mental health last month] will help best help us understand internet use. First run a correlation looking at the correlation between all 4 variables, focusing on the IV/DV correlation coefficients (DV - WWWHRS, IV - AGE, EDUC, MNTLHLTH). Then tun a regression model with all 3 independent variables in your regression. Put the output in your homework. You will lose points for not including the SPSS output in your homework document. Use the output to answer the following questions:

  1. Interpret the correlation coefficients. Focus on the correlation coefficient of each IV with the DV. Which IV has the strongest relationship with the DV? How do you know?
  2. Describe and interpret the r squared, the significance of R squared. Has the R squared gone up or down versus the model you ran in questions 1? Why do you think that is?
  3. Describe and interpret the regression coefficients for your regression analysis, including significance.
    1. Has the effect of age on internet use changed versus question 1? Why do you think this happened?[hint: see your reading from this past week on regression!]
    2. Which of the IVs has the largest impact on the DV? Explain how you know this.
    3. Write out the regression equation. (Hint: Remember that we said that for bivariate regression, we use: Y(hat) = a + b(x). For multivariate regression, we add another term for every additional variable.)
    4. Using the descriptive statistics, calculate the predicted number of internet hours watched at the means of your independent variables.

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