Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points a

Question

Refer to the accompanying scatterplot. 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 (1,1 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? 1 critical values the correlation coefficient 10 a. Do the data points appear to have a strong linear correlation? Yes 0 b. What is the value of the correlation coefficient for a 10 data points? r=D (Simplify your answer 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 not 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. No, because the correlation coefficient is in the critical region c. What is the correlation coefficient when the point (1,1) is excluded? (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 not in the critical region O B. Yes, because the correlation coefficient is not in the critical region C. No, because the correlation coefficient is in the critical region D. Yes, because the correlation coefficient is in the critical region d. What do you conclude about the possible effect from a single pair of values? O A single pair of values does not change the conclusion 0 The effect from a single pair of values can change the conclusion

Explanation / Answer

a) NO, it doesn't have linear correlatio.data have a strong positive correlation.

b)The value of correlation coefficient (r) is the 0.9057. and the answer is B. as the r is significant.

c) r=0, there is no relationship between X and Y.

and r is not significant. and the answer is A.

d) yes, the effect from a single pair value can change the conclusion.

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