Question

In: Math

1. Consider the first and second exam scores of the 10 students listed below. Calculate the...

1. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.

exam 1	exam 2
24	37
22	35
21	42
22	40
21	41
23	37
23	30
23	37
21	48
25	30

A)The correlation is -0.774 . There is a strong negative linear association between Exam 1 and Exam 2

B) The correlation is -0.774 . There is a weak negative linear association between Exam 1 and Exam 2 .

C)The correlation is 0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

D)The correlation is -0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

E)The correlation is 0.774 . There is a strong negative linear association between Exam 1 and Exam 2 .

2. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the data set below and interpret what that means.

exam 1	exam 2
23	29
29	24
19	19
17	27
24	22
10	20
29	28
20	18
25	18
16	29

A)The correlation is 0.147 . There is a weak negative linear association between Exam 1 and Exam 2 .

B)The correlation is -0.147 . There is a weak positive linear association between Exam 1 and Exam 2

C)The correlation is 0.147 . There is a strong positive linear association between Exam 1 and Exam 2

D)The correlation is -0.147 . There is a weak negative linear association between Exam 1 and Exam 2

E)

The correlation is 0.147 . There is a weak positive linear association between Exam 1 and Exam 2 .

Expert Solution

Question 1

	Exam 1 (X)	Exam 2 (Y)	X * Y	X²	Y²
	24	37	888	576	1369
	22	35	770	484	1225
	21	42	882	441	1764
	22	40	880	484	1600
	21	41	861	441	1681
	23	37	851	529	1369
	23	30	690	529	900
	23	37	851	529	1369
	21	48	1008	441	2304
	25	30	750	625	900
Total	225	377	8431	5079	14481

r = -0.774

A)The correlation is -0.774 . There is a strong negative linear association between Exam 1 and Exam 2

Question 2

	Exam 1 (X)	Exam 2 (Y)	X * Y	X²	Y²
	23	29	667	529	841
	29	24	696	841	576
	19	19	361	361	361
	17	27	459	289	729
	24	22	528	576	484
	10	20	200	100	400
	29	28	812	841	784
	20	18	360	400	324
	25	18	450	625	324
	16	29	464	256	841
Total	212	234	4997	4818	5664

r = 0.147

E)

The correlation is 0.147 . There is a weak positive linear association between Exam 1 and Exam 2 .

milcah answered 3 months ago

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