# Faulkner University Statistical Interpretation Interpreting Correlations Discussion

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Discussion Forum 6 ‐ Main Thread

Respond to the following short answer questions with a minimum of 400 words and at least two references.

D5.1 Interpreting Correlations. In Output 9.2, what do the correlation coefficients tell us? What is the r^2 for the Pearson correlation and what does it mean? Compare the Pearson and Spearman correlations on both correlation size and significance level and explain your comparison. Explain when you should use which type of correlation in this case.

D5.2 Interpreting Regressions. Using Output 9.4, find the regression coefficient (weight) and the standardized regression (Beta) coefficient. How do these compare to the correlation between the same variables in Output 9.3? What does the regression coefficient (weight) tell you? Using the variables in Problem 9.4, develop a research question in which the Pearson correlation would be more appropriate than the bivariate regression. Using the variables in Problem 9.4, develop a research question in which the bivariate regression would be more appropriate than the Pearson correlation.

# Discussion Forum 7 ‐ Main Thread

Respond to the following short answer questions with a minimum of 400 words and at least two references.

D7.1 Interpreting Independent Samples t Test. In Output 10.2, are the variances equal or significantly different for the three dependent variables? Explain your answer. Write the appropriate t, df, and p (significance level) for each t test as you would in a dissertation. Which t tests are statistically significant? Explain your answer. Write sentences interpreting the gender difference between the

means of ‘grades in high school’ and ‘visualization’. Interpret the 95% confidence interval for these two variables. Discuss the effect sizes as you would in a dissertation.

D7.2 Interpreting Paired Samples t Test. In Output 10.4, what does the paired samples correlation for ‘mother’s education’ and ‘father’s education’ mean? Interpret and explain the results of the t test.

Explain how the correlation and the t test differ in what information they provide. Describe the results if the r was 0.90 and the t was 0.00. Describe the results if the r was 0.00 and the t test was 5.0.

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