my notes only 10.2 q. 3 Scatterplot. 6 questions ty A scatterplot has a horizont

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my notes only 10.2 q. 3

Scatterplot. 6 questions ty

A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points (8, 3), (9, 3), (10, 3), (8, 2), (9, 2), (10, 2), (8, 1), (9, 1), and (10, 1) forming a square and the tenth point (1, 10) above and to the left of it.

a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y.

b. Find the value of the correlation coefficient r and determine whether there is a linear correlation.

c. Remove the point with coordinates (1,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values

a. Do the data points appear to have a strong linear correlation? No/Yes

b. What is the value of the correlation coefficient for all 10 data points? r=____(Simplify your answer. Round to three decimal places as needed.)

Is there a linear correlation between x and y? Use = 0.01.

A. No,because the correlation coefficient is in the critical region.

B.Yes,because the correlation coefficient is in the critical region.

C.No, because the correlation coefficient is not in the critical region.

D.Yes,because the correlation coefficient is not in the critical region.

c. What is the correlation coefficient when the point (1,10) is excluded? r=________(Round to three decimal places as needed.)

Is there a linear correlation between x and y? Use =0.01.

A.Yes, because the correlation coefficient is in the critical region.

B.No,because the correlation coefficient isnot in the critical region.

C.Yes, because the correlation coefficient is not in the critical region.

D.No, because the correlation coefficient is in the critical region.

d. What do you conclude about the possible effect from a single pair of values?

a.The effect from a single pair of values can change the conclusion.
b. A single pair of values does not change the conclusion

Explanation / Answer

a) No,

b) the value of correlation coefficient is -0.906, that means there is negative correlation between (x,y) and there is no linear relationship.

No,because the correlation coefficient is in the critical region.

c) if we remove the point (1,10), there is no correlation between (x,y) i.e. r=0,

d) The effect from a single pair of values can change the conclusion.

a. Do the data points appear to have a strong linear correlation? No

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