Question

% 10.2.11 Question Help 104• 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 (1,10) 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? Click here to view a table of critical values for the correlation coefficient. .:: x a. Do the data points appear to have a strong linear correlation? Yes No O 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.)

What is the correlation coefficient when the point (10.2) is excluded?

r = _ (round to three decimal places as needed.)

Answer 1

The statistical software output for this problem is:

With outlier:

Simple linear regression results: Dependent Variable: y Independent Variable: y = 10.226415 - 0.90566038 Sample size: 10 R (correlation coefficient) = -0.90566038 R-iq=0.82022072 Estimate of error standard deviation: 1.1955105

Without outlier:

Simple linear regression results: Dependent Variable y Independent Variable: Sample size: 9 R (correlation coefficient) = 0 R-q=0 Estimate of error standard deviation: 0.9258201

Hence,

b) Value of correlation coefficient with 10 data points = -0.906

c) Correlation coefficient when (10, 1) is excluded = 0