More Fun with Correlation and Regression. 1. Open Dataset “Sleep,” correlate all the variables, and summarize all the correlations in the standard format.

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Presentation transcript:

More Fun with Correlation and Regression

1. Open Dataset “Sleep,” correlate all the variables, and summarize all the correlations in the standard format [r(20) = 4.55, n.s.].

r(27)=.320, n.s. r(27)=.719, p<=.05 r(27)=.176, n.s. r(27)=.316, n.s. r(27)=-.340, n.s. r(27)=.111, n.s.

2. Identify the variable pairs with the weakest and strongest correlations in #1. Strongest: Slpt_wknd & Slpt_ln Weakest: Books and Slpt_wknd

3. Identify the amount of variance Weekend Sleep accounts for in amount Slept Last Night. r =.719 r 2 =.5170

4. If appropriate, provide the formula for predicting Hours Slept Last Night based on Hours Slept Last Weekend. y’ = bx + a y’ = 1.061(x) – 2.406

5. If appropriate, predict Hours Slept Last Night based on Hours Slept on School Night. Not appropriate. Correlation not significant.

6. Using SPSS, create a scatterplot for #4 with a regression line. Roughly sketch axes and line below. 7. Using SPSS, create a scatterplot for #5 with a regression line.

8. Predict Hours Slept Last Night if Weekend Hours Slept is 5. y’ = bx + a y’ = 1.061(x) – y’ = 1.061(5) – y’= 2.899

9. State the correct symbols and values for #8: a. Coefficient of Determin: r 2 =.516 b. Std Err of the Residual: Sy’ = c. Chance that ρ = 0: p =.000 (actually p<.001) d. Pearson’s Corr. Coeff:r =.719

10. Open Dataset Bogus Winthrop. Summarize all correlations among the interval and ratio data. r(18)=.555, p<=.05 r(18)=-.037, n.s. r(18)=.744, p<=.05 r(18)=.023, n.s. r(18)=.520, p<=.05 r(18)=-.011, n.s.

11. Identify the two strongest and two weakest correlations in previous problem – state the two variable pairs. Strongest: Satisfaction & GPA Weakest: Satisfaction & Social Skills

12. If appropriate, state the formula for predicting GPA based on Satisfaction. y’ = bx + a y’ =.391(x) +.819

13. Do a scatterplot with a regression line for previous problem. Roughly sketch the axes and line here.

14. State the correct symbols and values for #12. a. Coefficient of Determin: r 2 =.554 b. Std Err of the Residual: Sy’ =.5594 c. Chance that ρ = 0: p =.000 (actually p<.001) d. Pearson’s Corr. Coeff:r =.744

15. Predict GPA if Satisfaction is 6. y’ = bx + a y’ =.391(x) y’ =.391(6) y’ = 3.165