Use the value of the correlation coefficient r to calculate the coefficient of determination r2. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r = 0.467 Calculate the coefficient of determination. 0.218 (Round to three decimal places as needed.) ... Regarding the explained variation, the value of the coefficient of determination means that 21.8 % of the variation in y can be explained by the relationship between x and y. (Round to one decimal place as needed.) Regarding the unexplained variation, the value of the coefficient of determination means that% of the variation in y cannot be explained by the relationship between x and y and is due to other factors, such as sampling errors, coincidence, or lurking variables. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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Use the value of the correlation coefficient r to calculate the coefficient of determination r². What does this tell you
about the explained variation of the data about the regression line? About the unexplained variation?
r = 0.467
Calculate the coefficient of determination.
0.218
(Round to three decimal places as needed.)
Regarding the explained variation, the value of the coefficient of determination means that 21.8 % of the variation in y
can be explained by the relationship between x and y.
(Round to one decimal place as needed.)
Regarding the unexplained variation, the value of the coefficient of determination means that % of the variation in y
cannot be explained by the relationship between x and y and is due to other factors, such as sampling errors,
coincidence, or lurking variables.
(Round to one decimal place as needed.)
Transcribed Image Text:Use the value of the correlation coefficient r to calculate the coefficient of determination r². What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r = 0.467 Calculate the coefficient of determination. 0.218 (Round to three decimal places as needed.) Regarding the explained variation, the value of the coefficient of determination means that 21.8 % of the variation in y can be explained by the relationship between x and y. (Round to one decimal place as needed.) Regarding the unexplained variation, the value of the coefficient of determination means that % of the variation in y cannot be explained by the relationship between x and y and is due to other factors, such as sampling errors, coincidence, or lurking variables. (Round to one decimal place as needed.)
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