Question

Five observations taken for two variables follow. xi 4 6 11 3 16 yi 50 50 40 60 30 (a) Choose the correct scatter diagram with x on the horizontal axis. (i) (ii) (iii) (iv) - Select your answer - Graph (i) Graph (ii) Graph (iii) Graph (iv) Item 1 What does the scatter diagram indicate about the relationship between the two variables? - Select your answer - Positive non-linear Positive linear Stationary Negative linear Negative non-linear Item 2 (b) Compute the sample covariance. If needed, round your answer to one decimal digit. If your answer is negative, use the "minus sign". Interpret the sample covariance. There is - Select your answer - a positive linear a negative linear no Item 4 relationship between the two variables. Based on the sample covariance, - Select your answer - the relationship is strong the strength of this relationship cannot be determined Item 5. (c) Compute the sample correlation coefficient. If needed, round your answer to three decimal digits. If your answer is negative, use the "minus sign". Interpret the sample correlation coefficient. There is - Select your answer - a strong positive linear a strong negative linear no Item 7 relationship between the two variables. The sample correlation coefficient - Select your answer - can cannot Item 8 determine the strength of the relationship.

          Five observations taken for two variables follow.

xi
4
6
11
3
16

yi
50
50
40
60
30

(a)
Choose the correct scatter diagram with x on the horizontal axis.

(i)
(ii)
(iii)
(iv)
- Select your answer - Graph (i) Graph (ii) Graph (iii) Graph (iv) Item 1

What does the scatter diagram indicate about the relationship between the two variables?

- Select your answer - Positive non-linear Positive linear Stationary Negative linear Negative non-linear Item 2

(b)
Compute the sample covariance. If needed, round your answer to one decimal digit. If your answer is negative, use the "minus sign".

Interpret the sample covariance.

There is - Select your answer - a positive linear a negative linear no Item 4 relationship between the two variables. Based on the sample covariance, - Select your answer - the relationship is strong the strength of this relationship cannot be determined Item 5.

(c)
Compute the sample correlation coefficient. If needed, round your answer to three decimal digits. If your answer is negative, use the "minus sign".

Interpret the sample correlation coefficient.

There is - Select your answer - a strong positive linear a strong negative linear no Item 7 relationship between the two variables. The sample correlation coefficient - Select your answer - can cannot Item 8 determine the strength of the relationship.

Added by Ronald T.

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