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

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

Compute correlation coefficient

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

Compute standard error of prediction

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'

orchestra answered 1 year ago

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