A professor notices that more and more students are using their notebook computers in class, presumably...

A professor notices that more and more students are using their notebook computers in class, presumably to take notes. He wonders if this may actually improve academic success. To test this, the professor records the number of times each student uses his or her computer during a class for one semester and the final grade in the class (out of 100 points). If notebook computer use during class is related to improved academic success, then a positive correlation should be evident. Given the following data, test whether notebook computer use and grades are related at a .05 level of significance.

State the conclusions for this test using APA format. First, describe the correlation coefficient in words and give the value of r. Then give the value of R2 and describe (in words) the effect size using the coefficient of determination. Finally, is there a significant relationship?

Solutions

Expert Solution

The hypothesis being tested is:

H0: ρ = 0

Ha: ρ ≠ 0

Pearson's r is -0.140.

The critical r-value is 0.404.

Since 0.140 < 0.404, we cannot reject the null hypothesis.

Therefore, we cannot conclude that notebook computer use and grades are related.

Pearson's r is-0.140. It means that there is a weak negative relationship between notebook computer use and grades.

The coefficient of determination is 0.020. 2% of the variation in the model is explained.

The relationship is not significant.

Notebook Computer Use	Final Grade for Course
30	86
23	88
6	94
0	56
24	78
36	72
10	80
0	90
0	82
8	60
12	84
18	74
0	78
32	66
36	54
12	98
8	81
18	74
22	70
38	90
5	85
29	93
26	67
10	80

	r²	0.020
	r	-0.140
	Std. Error	11.996
	n	24
	k	1
	Dep. Var.	Final Grade for Course

ANOVA table
Source	SS	df	MS	F	p-value
Regression	63.6652	1	63.6652	0.44	.5129
Residual	3,165.668	22	143.8940
Total	3,229.333	23


Regression output					confidence interval
variables	coefficients	std. error	t (df=22)	p-value	95% lower	95% upper
Intercept	80.5590
Notebook Computer Use	-0.1325	0.1993	-0.665	.5129	-0.5458	0.2807

orchestra answered 1 year ago

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