A psychology professor studies the relationship between anxiety(X) and test performance (Y). Ten students take an anxiety questionnaire prior to taking the final exam. Below is the SPSS printout of the regression equation.
|
|||
|
Anxiety |
FinalExam |
|
Anxiety |
Pearson Correlation |
1 |
-.691* |
Sig. (2-tailed) |
|
.027 |
|
N |
10 |
10 |
|
FinalExam |
Pearson Correlation |
-.691* |
1 |
Sig. (2-tailed) |
.027 |
|
|
N |
10 |
10 |
|
*. Correlation is significant at the 0.05 level (2-tailed). |
ANOVAa |
|
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Model |
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
||||||
1 |
Regression |
861.959 |
1 |
861.959 |
7.301 |
.027b |
|
|||||
Residual |
944.441 |
8 |
118.055 |
|
|
|
||||||
Total |
1806.400 |
9 |
|
|
|
|
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a. Dependent Variable: FinalExam |
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b. Predictors: (Constant), Anxiety |
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Coefficientsa |
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Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||||||||
B |
Std. Error |
Beta |
||||||||||
1 |
(Constant) |
125.883 |
21.111 |
|
5.963 |
.000 |
||||||
Anxiety |
-1.429 |
.529 |
-.691 |
-2.702 |
.027 |
|||||||
a. Dependent Variable: FinalExam |
||||||||||||
- State hypothesis for the correlation:
- Is the correlation significant using α = .05?
- State the conclusion in APA format.
- Evaluate the regression equation using α = .05 and state the conclusion in APA format.
- what is the regression equation?
- Using the regression equation, if a student gets an anxiety score of 44, what would you expect his final exam score to be?
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