read the data, and answer the questions
Assignment # 1
Bivariate correlation/regression for ERMA 7310/7316
The following data were collected by in graduate-level STAT 2 (ERMA 7310) research classes at a major Southeastern research institution. These data were collected from a convenient sample of 20 graduate students on variables such as gender, eye color, value of gift given to the instructor,
ERMA 7300/7306 (STAT 1) final grades, GRE Quantitative Scores, and ERMA 7310/7316 final grades.
ID Gender Eye Color Gift ERMA 7300 GRE-Q ERMA 7310
Value Grade Grade
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1 M BROWN 20 75 620 65
2 F GREEN 10 70 600 73
3 M BLUE 05 85 590 90
4 F BROWN 00 60 580 64
5 M BROWN 25 70 560 69
6 F BROWN 10 80 550 78
7 M BLUE 15 68 540 70
8 M BROWN 20 75 530 79
9 M BROWN 10 65 530 70
10 F BLUE 30 75 480 69
11 F BROWN 12 75 480 64
12 M GREEN 45 70 460 76
13 F GREEN 35 55 440 59
14 M BROWN 00 62 430 44
15 M BLUE 30 80 390 75
16 F BROWN 10 80 380 69
17 M BROWN 05 55 370 54
18 M BLUE 50 50 280 43
19 M BROWN 32 80 590 85
20 F BLUE 100 95 600 94
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Assignment: (20 points)
1. Data - Retrieve the data file that I already created for you.
2. Analysis
a. Correlation (4 points)
1) do this by hand using one of the many formulas explored in class.
You are encouraged to SPSS to get the necessary information for the calculations
(e.g. means, standard deviations, covariances, etc..)
b. Regression (4 points)
1) The regression equation (slope and intercept) for predicting ERMA 7310 grades (Y') from knowledge of ERMA 7300 grades (X).
2) Do this by hand as well. In doing these calculations, determine the slope (b) and intercept (a) and use these components to complete the regression equation necessary to predict the DV. Again, use SPSS to help with the calculations.
.
3. Interpretation (10 points)
a. Interpret the correlation between grades in ERMA 7300 and grades in ERMA 7310.
What verbal conclusions can be supported based on your results? (2 points)
b. What grade in ERMA 7310 would you predict for a student earning a grade of
88 in ERMA 7300? (2 points)
c. What does the obtained b coefficient tell you about the relationship between grades in ERMA 7300 and grades in ERMA 7310? (2 points)
d. What proportion of variance in ERMA 7310 grades is accounted for by grades in ERMA 7300? (1 point)
e. Can ERMA 7310 grades be predicted from ERMA 7300 grades?
Support your decision using multiples sources of information from your analyses.
(3 points)