# Statistics I ? First Analysis Project

You are part of a research team that is studying academic motivation in high school students. A question has arisen regarding the strength of the relationship between academic motivation and achievement. Some members of the team believe there is a strong positive relationship between academic motivation and achievement, while others don?t think the two variables are related much, if at all.

To provide some information relevant to this discussion, a small study was designed. A random sample of 50 high school seniors from the local school district agreed to participate. Each student filled out a measure of academic motivation and released his/her SAT-math scores to the researchers. The data for this study are provided on the following page.

The measure of academic motivation was the Peabody Academic Motivation Scale (PAMS). Studies of the reliability and validity of scores obtained from using this instrument have been favorable when the instrument was used with high school students. The possible scores range from 0 to 100. The SAT-math scores can range from 200 to 800 and have also been shown to be reasonably reliable and valid in previous studies.

For this project you should:

1. Analyze each of the variables individually (mean, SD, skewness, kurtosis)
2. Analyze the relationship between the two variables (scatterplot and correlation)
3. Write a one or two paragraph summary of the results

Please turn in (1) the summary, (2) the program, and (3) the output.

OBS SAT MOT
OBS SAT MOT
1 710 68
2 660 74
3 430 88
4 570 90
5 430 70
6 560 37
7 670 79
8 420 50
9 440 77
10 320 34
11 650 82
12 630 55
13 440 79
14 420 60
15 490 89
16 530 53
17 490 48
18 450 55
19 550 97
20 490 46
21 490 71
22 470 29
23 680 82
24 310 68
25 370 31 26 660 100
27 430 41
28 550 50
29 630 63
30 400 23
31 460 46
32 450 76
33 230 28
34 600 57
35 340 85
36 510 70
37 620 96
38 530 68
39 490 81
40 410 50
41 480 67
42 400 54
43 610 54
44 510 71
45 380 44
46 530 85
47 720 76
48 510 67
49 520 63
50 470 56