Five observations taken for two variables follow. yi 5 50 (iii) 6 50 11 40 (a) Choose the correct scatter diagram with x on the horizontal axis. (1) y 60- 50- 40- 30- 20- 10- y 60- 50 40- 30- 20 3 60 10+ 15 30 10 15 (ii) (iv) 60 50+ 40+ 30 20 10 84 y 60 50+ 40 30+ 20 10+ 5 10 15

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Five observations taken for two variables follow.
yi
5
(iii)
50
6 11
40
50
(a) Choose the correct scatter diagram with x on the horizontal axis.
(i)
y
60-
50-
40+
30
20
10-
y
60-
50+
40+
30+
3
60
201
10+
15
30
tin
10
15
(ii)
(iv)
y
60-
50-
40-
30+
20
10-
y
60
50
40+
30-
20
10+
5
10
15
Transcribed Image Text:Five observations taken for two variables follow. yi 5 (iii) 50 6 11 40 50 (a) Choose the correct scatter diagram with x on the horizontal axis. (i) y 60- 50- 40+ 30 20 10- y 60- 50+ 40+ 30+ 3 60 201 10+ 15 30 tin 10 15 (ii) (iv) y 60- 50- 40- 30+ 20 10- y 60 50 40+ 30- 20 10+ 5 10 15
10
15
Graph (ii)
(b) What does the scatter diagram indicate about the relationship between the two variables?
♡
5
10
Negative linear
(c) Compute the sample covariance. If needed, round your answer to one decimal digit. If your answer is negative use "minus sign."
✔ relationship between the two variables. The sample correlation coefficient can
15
Interpret the sample covariance.
There is a negative linear ✓ ✔ relationship between the two variables. Based on the sample covariance, the strength of this relationship cannot be determined
(d) Compute the sample correlation coefficient. If needed, round your answer to three decimal digits. If your answer is negative use "minus sign."
*
Interpret the sample correlation coefficient.
There is a strong negative linear ✔
determine the strength of the relationship.
Transcribed Image Text:10 15 Graph (ii) (b) What does the scatter diagram indicate about the relationship between the two variables? ♡ 5 10 Negative linear (c) Compute the sample covariance. If needed, round your answer to one decimal digit. If your answer is negative use "minus sign." ✔ relationship between the two variables. The sample correlation coefficient can 15 Interpret the sample covariance. There is a negative linear ✓ ✔ relationship between the two variables. Based on the sample covariance, the strength of this relationship cannot be determined (d) Compute the sample correlation coefficient. If needed, round your answer to three decimal digits. If your answer is negative use "minus sign." * Interpret the sample correlation coefficient. There is a strong negative linear ✔ determine the strength of the relationship.
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