Q Refer to the accompanying scatterplot a. Examine the pattern of all 10 points
ID: 2926680 • Letter: Q
Question
Q 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 10 correlation. d. What do you conclude about the possible effect from a single pair of values? 10 a. Do the data points appear to have a strong linear correlation? O Yes O No b. What is the value of the correlation coefficient for all 10 data points? Simplify your answer. Round to three decimal places as needed.) Is there a linear correlation between x and y? Use 0.05. A. Yes, because the correlation coefficient is not in the critical region. O B. No, because the correlation coefficient is not in the critical region. C. Yes, because the correlation coefficient is in the critical region. O D. No, because the correlation coefficient is in the critical region. c. What is the correlation coefficient when the point (1,10) is excluded? r-D (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use = 0.05. O A. Yes, because the correlation coefficient is in the critical region. O B. No, because the correlation coefficient is not in the critical region. C. 0 D. Yes, because the correlation coefficient is not in the critical region 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? O A single pair of values does not change the conclusion. The effect from a single pair of values can change the conclusion. O S7 12Explanation / Answer
Solving the original problem using excel gives below results
(A) yes
As value of r = 0.91 which means data exhibit strong correlation.
(B)
correlation coeff, r = 0.9057
Yes, because linerar correlation coeff. is not in critical region.
(c)
If we exclude the point (1,10) and run the regression model, below are the results
r = 0
No, because correlation coeff. is in critical region
d)
The effeect from a single pair of values can change the conclusion.
(C)
Regression Statistics Multiple R 0.90566 R Square 0.820221 Adjusted R Square 0.797748 Standard Error 1.19551 Observations 10 ANOVA df SS MS F Significance F Regression 1 52.16604 52.16604 36.49901 0.000309 Residual 8 11.43396 1.429245 Total 9 63.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 10.22642 1.286067 7.951694 4.56E-05 7.260738 13.19209 7.260738 13.19209 x -0.90566 0.149908 -6.04144 0.000309 -1.25135 -0.55997 -1.25135 -0.55997Related Questions
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