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A researcher was interested in how students' Graduate Record Examinations (GRE) scores predict students' graduate school Grade Point Average (GPA). She collects data from 100

A researcher was interested in how students' Graduate Record Examinations (GRE) scores predict students' graduate school Grade Point Average (GPA). She collects data from 100 college students. The GRE (X) score can range from 400-1600 (Note. This is the old GRE score scale). Grade Point Average (Y) can range from 0.00 to 4.00. For each question, circle or highlight on your SPSS output where you have found each answer.

Data from Excel:

GPA GRE

4 388

4 1386

4 1386

4 990

3.99 1227

3.95 1307

3.94 1267

3.94 1227

3.94 1069

3.93 1267

3.88 1425

3.88 990

3.84 1425

3.84 1069

3.82 1386

3.78 1227

3.77 1425

3.76 1267

3.74 1584

3.74 1465

3.74 1029

3.72 1386

3.7 1584

3.69 1227

3.63 1188

3.62 1188

3.61 1109

3.6 1600

3.59 1109

3.59 752

3.58 1188

3.58 950

3.57 1148

3.57 990

3.56 1386

3.56 1386

1.54 1600

3.54 1188

3.53 990

3.52 1386

3.51 792

3.5 1267

3.49 1307

3.48 1346

3.47 1188

3.46 1148

3.45 950

3.45 871

3.43 1600

3.43 752

3.41 831

3.4 1227

3.4 1148

3.4 1148

3.4 1148

3.4 950

3.38 1069

3.38 792

3.37 1227

3.35 990

3.33 1227

3.33 1109

3.33 752

3.31 1465

3.31 792

3.3 1148

3.24 871

3.23 1227

3.23 792

3.22 1188

3.19 1069

3.17 1227

3.15 911

3.15 673

3.13 1188

3.13 950

3.08 1346

3.08 990

3.07 1307

3.07 1109

3.01 594

3 713

2.98 990

2.97 1465

2.95 1109

2.94 1267

2.93 792

2.92 673

2.91 950

2.88 1148

2.86 1148

2.85 1029

2.81 1069

2.79 1267

2.79 990

2.73 1029

2.71 1109

2.67 950

2.62 1029

2.52 1109

  1. Is this proportion of variance statistically significant at the .05 level of significance? Justify your answer. This includes providing the parameter being estimated, the statistical test (F, t, etc.) and its value, degrees of freedom associated with the statistical test, the observed significance level provided on your output.
  2. What would be the predicted GPA for a student whose GRE score was a 1330?
  3. Make a scatterplot of the data using all 100 students. In your opinion, are there any individuals in the dataset whose score(s) appear to be outliers or errors in data entry? What evidence do you have to believe that this is true? If there are, remove these cases and rerun your analyses. Has your interpretation of the relationship between GRE scores and GPA changed? Why or why not?

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