HOMEWORK #3 – Correlation and Regression

Use the date for n=686 subjects in Homework3.xls or Homework3.sav

The variables are as follows. Not all are used in this homework.

Age

gen -- gender, 0=male, 1=female

analytical -- score on the analytical scale of the Decision Making Styles Inventory, scores

range from 15 (low analytical)) to 90 (high analytical)

intuitive -- score on the intuitive scale of the Decision Making Styles Inventory, scores

range from 15 (low intuitive)to 90 (high intuitive)

regret -- score on the regret/avoidance scale of the Decision making Styles Inventory,

scores range from 15 (low regret) to 90 (high regret)

procrast -- score on a Procrastination scale , scores range from 5 (low) to 30 (high)

GenSelfEff -- score on a General Self Efficacy scale

self-regard -- another measure of self-efficacy

SpecSelfEff -- another measure of self efficacy

optimism -- score on an Optimism scale (low to high)

LearnGoal -- score on a scale to assess degree to which one’s goal on a task is to learn

it well

PerfGoal -- score on a scale to assess degree to which one’s goal on a task is to perform

it well

1. Correlations.

1. Compute the correlation by hand between Analytical and Regret for the first n=10 people in the sample.
2. Using our table of critical values for the Pearson correlation coefficient does this computed value exceed the critical value based on a .05 cutoff, two-tailed?

2. Use SPSS (or Excel if you prefer) to compute the correlations among Gender, Analytical, Intuitive, and Regret.

1. Which correlations appear to be significantly different from 0?
2. Does knowing someone’s Intuitive decision style score help you predict his or her Analytical score? Explain.
3. Does knowing someone’s Analytical decision style score help you predict his or her Regret score? Explain. How much variance is accounted for?

3. Now correlate the 3 decision making scales with Performance Goal Orientation and Learning Goal Orientation.

1. Does it appear that any of the three decision styles can predict whether some is performance goal oriented or learning goal oriented?
2. Which goal orientation can Analytical decision style predict? Intuitive decision style? Regret/avoidant decision style?
3. Which decision style scale (Analytical decision style, Intuitive decision style, or Regret/avoidant decision style) seems to best predict the degree to which one is learning goal oriented? What are the correlations?

4. Now do a regression analysis where you are predicting Learning Goal Orientation from Analytical Decision style. Be sure to get descriptive statistics (means, variances, etc. ) too. From your results find or compute:

1. the regression equation (that is, what are b and a?)
2. the proportion of variance accounted for in the Y-scores (LGO) by knowing the X-scores (Analytical)
3. the standard error of estimate and the residual variance
4. the mean and variance of the Y-scores (LGO)
5. the value you get for residual variance won’t be much smaller than the original variance of the Y-scores. Explain why this makes sense in terms of the relatively small proportion of variance accounted for.
6. Show how you can get the b-value by knowing the correlation and the standard deviations of X’s and Y’s
7. show how you can get the a-value from the two means and the b-value

5. Now do two multiple regression analyses where Analytical, Intuitive, Regret, and General Self-efficacy are used to predict Learning Goal Orientation and then Performance Goal Orientation.

1. Which predictors seem relevant for Learning Goal Orientation? What is the multiple R?
2. Which predictors seem relevant for Performance Goal Orientation? What is the multiple R?
3. Does it make sense that Generalized Self-efficacy has some predictive ability for Learning Goal Orientation but not Performance Goal Orientation?
4. As the developer of the Decision Styles Inventory, I was pretty happy with these results. Why?

Price: $19.98

Solution: The downloadable solution consists of 9 pages, 1098 words.
Deliverable: Word Document