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Question about Regression analysis in SPSS

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Unit 4

All work that can be done in SPSS must be submitted in that format.

1. Dr. Allen suspects a strong correlation between math anxiety and performance in statistics. To test that hypothesis he collects the following data.

Math Anxiety 1st Exam Score
78
68
82
56
23
22
34
20
53
65
30 42
58
38
75
82
85
49
86
54
53
84

a. Conduct and interpret the appropriate analysis to determine if there is a relationship between math anxiety and performance in statistics (10 pts)
b. Construct the appropriate graph to show the relationship between math anxiety and exam score (5 pts)
c. If a student scores a 49 on the Math Anxiety test, what would be the predicted score on the first exam? (2.5 pts.)
d. If a student scores an 85 on the Math Anxiety, what would be the predicted score on the first exam? (2.5 pts.)

2. A professor develops a scale that he believes measures spiritual maturity. To establish the reliability of his scale he administers the test to a group of students at 6 week intervals.

Test Retest
45
68
51
78
48
80
78
70 35
75
52
60
75
72
85
78

a. Is the test measuring a stable construct? Conduct and interpret the appropriate analysis to determine reliability of the test (15 pts.)
b. Construct the appropriate graph to illustrate the data (5 pts.)
3. A University Counseling Clinic is interested in predicting the levels of depression from the number of social events attended per week by a sample of their clients. The data are below:
Social events per week Depression Scores
0
2
2
1
3
1
2
0
3
3
4
1
1
2 15
3
12
11
5
8
15
13
2
4
2
8
10
8

a. Conduct and interpret the appropriate analysis to determine if there is a relationship between number of social events attended and depression scores (5 pts.)
b. Create the appropriate graph to illustrate the relationship between these two variables. (5 pts.)
b. What would you predict for a depression score for someone who attended 2 events per week? (2.5 pts)
c. What would you predict for a depression score if someone attended 4 events per week?( 2.5 pts.)

4. Students in General Psychology were allowed to sign up for one of two sections of that course. One section has a virtual lab component to it, in which they are given additional assignments to supplement the lecture content. These exercises consist of various games, demonstrations etc., that the students complete utilizing the CD-ROM that comes with their textbook. The other section of the course is a regular lecture class, with no supplemental lab exercises

No lab Virtual Lab
85
74
94
71
73
75
82
48
65
70
75
80 70
84
75
80
94
87
90
75
92
90

a. Conduct and interpret the appropriate analysis to determine if the virtual lab group has significantly higher scores (10 pts).
b. Construct the appropriate graph to illustrate the differences in the two groups (5 pts.)
c. From the professor's experience, he knows that students who score in the top 10% of the class are great candidates for lab assistants in the future. What score in the Virtual Lab group would indicate such a student (5 pts.)

5. The same students from the above scenario who are in the General Psychology class with the Virtual Lab exercises are asked to rate their opinion of the lab experiences.
Virtual Lab Opinion
70
84
75
80
94
87
90
75
92
90 15
18
12
17
20
18
15
17
16
10

a. Conduct and interpret the appropriate statistical analysis to determine if there is a relationship between their opinion of the lab and their final exam grade? (A high # reflects favorable opinion. (15 pts.)
b. Construct the appropriate graph to illustrate the relationship between the variables (5 pts.)

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The solution provides step by step method for the calculation of regression model in SPSS. Formula for the calculation and Interpretations of the results are also included.

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