Question

In: Statistics and Probability

The following is the data obtained from a set of samples on the relation between statistics...

  1. The following is the data obtained from a set of samples on the relation between statistics

final exam scores and the students’ confidence rating on mathematical skills.

Student ID

Exam score

Math confidence

Z exam

Z math conf

A

60

1

A

-.77

-1.61

B

80

5

B

.77

1.36

C

70

3

C

0

-0.12

D

50

2

D

-1.55

-0.87

E

90

4

E

1.55

0.62

F

70

4

F

0

0.62

Mean

70

3.17

SD

12.9

1.34

  1. Compute correlation coefficient
  1. Compute appropriate values to generate a regression equation predicting exam score from the math confidence based on the data.

  1. Compute standard error of prediction
  1. Interpret the meaning of the results of computation c above. What does that mean?

Solutions

Expert Solution

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.7686
R Square 0.5908
Adjusted R Square 0.4885
Standard Error 10.1147
Observations 6
ANOVA
df SS MS F Significance F
Regression 1 590.7692308 590.7692 5.774436 0.074114
Residual 4 409.2307692 102.3077
Total 5 1000
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 46.6154 10.5713 4.409635 0.011604 17.26487 75.9659
X 7.3846 3.0731 2.403006 0.074114 -1.14761 15.91684

Excel Command = Data > Data analysis > regression > select the data > ok

____________________________________________________

a) Correlation = (0.5908)0.5 = 0.7686

_____________________________________________________

Y = Exam score , X= confidence

______________________________________________________

c) Standard error = 10.1147

___________________________________________________________

d) It tell How wrong is the predicted value on an average by varying a unit in 'x'


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