Pearson Correlation Coefficients - Homework Assignment 8 | PSY 230, Assignments of Statistics

Material Type: Assignment; Professor: Okun; Class: Introduction to Statistics; Subject: Psychology (Science and Math); University: Arizona State University - Tempe; Term: Unknown 1989;

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Pre 2010

Uploaded on 09/02/2009

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Okun NAME:_________________________
Homework Assignment #8: Pearson Correlation Coefficient
1 [C]. For the data below, is the relationship between X and Y
linear?
X Y
3 90
6 70
9 50
12 70
15 90
2 [C]. Which letter of the English alphabet does a scatter plot
of these pairs of scores look like? _____
3 [C]. Given the type of relationship between X and Y identified
above, what will be the value of the Pearson r? ______
4 [C]. In a study of the correlation between father’s income
and son’s income, father’s income is the __________ and son’s
income is the _________ ___________ .
5 [C]. Which type of correlation coefficient is appropriate in
each of the following situations?
A. To examine the relationship between parental divorce (yes or
no) and diagnosis of being clinically depressed (yes or no).
____________
B. To examine the relationship between class rank and order of
finish in the school’s science fair competition.
___________
C. To examine the relationship between age and highway driving
speed.
_________________
6 [C]. Power is the probability of _________ a _____ null hypothesis.
7 [C]. In which of the following scenarios would the researcher have the most power?
A. A = -.7, n = 100, and = .01
B. A = +.6, n = 100, and = .05
C. A = -.7, n = 90, and = .05
D. A = -.7, n = 100, and = .05
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Okun NAME:_________________________ Homework Assignment #8: Pearson Correlation Coefficient 1 [C]. For the data below, is the relationship between X and Y linear? X Y 3 90 6 70 9 50 12 70 15 90 2 [C]. Which letter of the English alphabet does a scatter plot of these pairs of scores look like? _____ 3 [C]. Given the type of relationship between X and Y identified above, what will be the value of the Pearson r? ______ 4 [C]. In a study of the correlation between father’s income and son’s income, father’s income is the __________ and son’s income is the _________ ___________. 5 [C]. Which type of correlation coefficient is appropriate in each of the following situations? A. To examine the relationship between parental divorce (yes or no) and diagnosis of being clinically depressed (yes or no).


B. To examine the relationship between class rank and order of finish in the school’s science fair competition.


C. To examine the relationship between age and highway driving speed.


6 [C]. Power is the probability of _________ a _____ null hypothesis. 7 [C]. In which of the following scenarios would the researcher have the most power? A. A = -.7, n = 100, and  =. B. A = +.6, n = 100, and  =. C. A = -.7, n = 90, and  =. D. A = -.7, n = 100, and  =.

8 [C]. Which of the following correlations indicates the strongest relationship between two variables? A. r = -. B. r = -. C. r =. D. r = +. 9 [C]. Which of the following correlations indicates that as scores on the X variable increase, scores on the Y variable tend to decrease? A. r = -. B. r =. C. r = +. D. r = +.

10 [O]. A researcher is interested in determining whether there is a

relationship between extraversion and number of cards received on one’s

birthday. He draws a sample of 5 adults. Below are the scores on the

extraversion measure and number of cards received on one’s birthday. In

addition means and standard deviations are provided for both variables.

Extraversion Scores # of Cards Received

Mean 50 6

Standard

Deviation 25 4

A. State the null hypothesis.

B. How many degrees of freedom does the researcher have?

C. With alpha = .05, what is the absolute value of r that is associated with

rejecting the null hypothesis?