Question

In a study, SAT math score was found to be correlated with college freshman math grade with r = .6, p = .15. The proportion of variance in freshman math grade that is shared with the variance in SAT math score is ___.

	36%
	60%

	15%
	2.25%

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Question 21 pts

When examining the correlation analysis result from a statistical program, what information determines whether there is a significant correlation or not?

	r
	p

	r2
	df

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Question 31 pts

Which of the following represents the weakest linear correlation?

	+.25
	-.30

	-.18
	+.09

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Question 41 pts

You are interested in the relation between the number of years working for a particular company and job satisfaction. You survey 40 workers at this company and obtain a correlation coefficient of .30 between these two variables. What is the effect size of this correlation?

	.40
	.30

	.09
	.05

Answer 1

By p value

If p-value is less than the significance level (eg α = 0.05),

1. Firstly, Decision: Reject the null hypothesis.
2. Conclusion: We have sufficient evidence conclude there is a significant linear relationship between x and y
3. i.e the correlation coefficient is significantly different from zero.

Ans 31 is -0.30

Strong negative linear correlation---

1-----positive linear correlation

0----zero nlinear correlation

-1----negative linear correlation

Ans 41 is 0.30

Acc to Cohen's table of effect size magnitudes. For correlation, <.10: trivial

• if .10 - .30: small to medium
• if .30 - .50: medium to large
• if >.50: large to very large