Question

In: Statistics and Probability

1. A psychology instructor asked each student to report the number of hours he or she...

1. A psychology instructor asked each student to report the number of hours he or she spent preparing for an exam. In addition, the instructor recorded the number of errors made on each student’s exam. The data are as follows:

Hours (X) Errors (Y)

0 19

1 6

2 2

4 1

4 4

5 0

3 3

5 5

SS_X = 24 SS_Y = 252

Describe what the scatterplot looks like
SP = ?
r = ?
Calculate b
Calculate a
Write the regression equation
How many errors would one make after studying for 3 hours?
Compute the coefficient of determination
Is r significantly different than zero at the p=.05 level of significance?
Write an APA-style conclusion based on your findings

Expert Solution

Following is the scatter plot:

Scatter plot shows a strong negative relationship between the varaibles. Scatter plot shows an outlier to the data.

Following table shows the calculations:

	X	Y	X^2	Y^2	XY
	0	19	0	361	0
	1	6	1	36	6
	2	2	4	4	4
	4	1	16	1	4
	4	4	16	16	16
	5	0	25	0	0
	3	3	9	9	9
	5	5	25	25	25
Total	24	40	96	452	64

--------------------------------

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Conclusion: The relationship between the variables is significant.

---------------

The APA style results are

t(6) = -2.542, p < 0.05

orchestra answered 2 years ago

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