research methods statistic

1. For which of the following Pearson correlations would the data points cluster most closely around a straight line {think about best-fitting line}?

r = -0.10

d. There is no relationship between correlation and how close the points are to a straight line.

r = -0.70

r = + 0.40

1 points

QUESTION 2 1. A researcher measures driving distance from college and weekly cost of gas for a group of commuting college students. What kind of correlation is likely to be obtained for these two variables?

A negati ve correl ation

A correl ation near zero

A positive correl ation

A correl ation near one

1 points

QUESTION 3 1. Which of the following best describes the Pearson correlation for the following data.

X Y 2 5 5 1 3 4 4 2

Cannot be dete rmin ed

This is a positive correlati on

The corr elati on is zero

This is a negative correlati on

2 points

QUESTION 4 1. How large a sample is needed for a correlation of r = 0.550 to be significant using a two-tail test with α = .05

n n n n

1 points

QUESTION 5 1. A negative correlation means that a decrease in the X variable tends to be

accompanied by a decrease in the Y variable . True False

1 points

QUESTION 6 1. A Pearson correlation of r = -0.90 indicates that the data points are

clustered close to a line that slopes down to the right. True False

1 points

QUESTION 7 1. If the data points in a scatter plot shows a nearly circular pattern, then the

correlation is near zero.

True False

1 points

QUESTION 8 1. GIVEN: 17 17 25 22 11 19 9 10 17 18 20 16 For the data above answer the following:

a. What are SSx and SSy b. What is SP c. What is the Pearson correlation r and is it significant at α = .05 two-tail test?

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4 points

QUESTION 9 1. GIVEN:

X Y 18 54 26 64

28 54 34 66 36 68 42 70 48 76 52 66 54 66 60 74 For the data above answer the following:

● What are SSx and SSy ● What is SP ● What is the Pearson correlation r and is it significant at α = .05 two-tail

test?

2.

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4 points

QUESTION 10 1. GIVEN: X Y 0 -2 2 -5 8 14 6 3 4 0

For the data above answer the following:

a. What are SSx and SSy b. What is SP c. What is the Pearson correlation r and is it significant at α = .05 two-tail test?

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10pt

QUESTION 1 1. FILL IN THE MISSING VALUES ( ) IN THE TABLE, GO OUT 3 DECIMAL PLACES AND

ROUND OFF 2 DECIMAL PLACES SOURCE DF SS MS F P BETWEEN GROUPS 3 50 ____ WITHIN 960 TOTAL 99 1110 What is:

1. Dfwithin

2. SSbetween

3. MSwithin 4. F 5. P { p<.05 or p <.01 or not significant}

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3 points

QUESTION 2

1. FOR THE DATA BELOW WHAT IS THE 1) SSwithin= __ 2) SSbetween=___

3) SStotal = __ 4) dfbetween= ___, 5) dfwithin=___ 6) MSwithin____

7) MSbetween = _______

Treatment 1 Treatment 2 Treatment 3 n = 5 n = 5 n = 5 T = 5 T = 10 T = 15 SS = 25 SS = 20 SS = 15

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3 points

QUESTION 3 1. An investigator feels that habitat influences song duration in a particular species of

bird. He records song duration of individual birds from three different habitats. Can you reject the Ho, that states there are no differences among the three groups? Answer the following questions based on the data below. What is?

● SSbetween

● SSwithin

● SStotal

● dfbetween

● dfwithin

● dftotal

● MSwithin

● MSbetween ● F ● P { p<.05 or p <.01 or not significant}

● η2 (If significant) this is your effect size

2. HABITAT A HABITAT B HABITAT C

4.4 6.9 9.2 3.4 7.1 8.1 6.7 5.2 8.3 3.8 4.3 7.2 4.1 8.2 9.1 5.0 8.9

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7 points

QUESTION 4 1. Assume that an experimenter is interested in determining the effect of shock on the time

required to solve a set of difficult problems. Subjects are randomly assigned to one of four experimental conditions. Using one-way ANOVA can you reject the Ho that states that there are no differences among the groups? Answer the following questions based on the data below. What is?

● SSbetween

● SSwithin

● SStotal

● dfbetween

● dfwithin

● dftotal

● MSwithin

● MSbetween ● F ● P { p<.05 or p <.01 or not significant

● η2 (If significant) this is your effect size

2. GROUP 1 GROUP 2 GROUP 3 GROUP 4

10 3 19 23 7 8 12 14 9 6 16 16 8 10 14 18

15 12 13 16 3 7 16 14

11 5 15 16 5 5 19 17

17 15 14 13

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