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You have collected data from a sample of 25 middle school students on two variables: 1) Commitment to school: Those who score high on this

You have collected data from a sample of 25 middle school students on two variables:

1) Commitment to school: Those who score high on this measure have high levels of commitment to school. It is a continuous variable formed by the addition of multiple questions asking the students about the amount of efforts they put into school work.

2) Perception of the police: Those who score high on this measure have high levels of positive perceptions of the police. It is also a continuous variable formed by the addition of multiple questions asking the students about their opinion on various aspects of police work.

Your research question is: Does middle-school students' commitment to school affect their perceptions of the police?

Here are your data:

Commitment to school Perception of the police
16 17
17 20
19 21
25 23
15 17
16 16
8 16
27 26
21 22
26 20
28 25
24 23
17 16
15 10
13 15
20 20
22 21
24 23
20 17
22 20
21 24
16 19
25 22
12 20
17 19

  1. Graph the two variables with the correct independent variable on the x axis and dependent variable on y axis. Does it look like there's a relationship? Does it look at least approximately linear?

  1. Below is the SPSS output of the correlation coefficient between the two variable - interpret this coefficient.

Correlations

perception of police

commitment to school

perception of police

Pearson Correlation

1

.748**

Sig. (2-tailed)

.000

N

25

25

commitment to school

Pearson Correlation

.748**

1

Sig. (2-tailed)

.000

N

25

25

**. Correlation is significant at the 0.01 level (2-tailed).

  1. Calculate and interpret the value of R2based on the information from step b.

  1. Below is the SPSS output of the regression coefficients - interpret them.

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

-1.187

3.883

-.306

.763

commitment to school

1.048

.194

.748

5.398

.000

a. Dependent Variable: perception of police

  1. What is the predicted score of perception of the police for a student who has a school commitment score of 10, 15 and 20? (hint: write out the regression equation first)

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