Question
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 |
- 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?
- 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). |
- Calculate and interpret the value of R2based on the information from step b.
- 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 |
- 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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