When the heights (in inches) and shoe lengths (also in inches) were measured for a large random sample of individuals, it was found that r = 0.89, and a regression equation was constructed in order to further explore the relationship between shoe length and height, with height being the response variable. From this information, what can we conclude? The correlation coefficient should have no units. The regression equation relating shoe length to height must have a slope equal to 0.89. The regression equation relating shoe length to height must have a positive intercept. Approximately 89% of the variability in height can be explained by the regression equation. Because the value of r is less than 1, we should characterize this relationship as being weak.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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When the heights (in inches) and shoe lengths (also in inches) were measured for a large random sample of
individuals, it was found that r = 0.89, and a regression equation was constructed in order to further explore
the relationship between shoe length and height, with height being the response variable. From this
information, what can we conclude?
The correlation coefficient should have no units.
The regression equation relating shoe length to height must have a slope equal to 0.89.
The regression equation relating shoe length to height must have a positive intercept.
O Approximately 89% of the variability in height can be explained by the regression equation.
Because the value of r is less than 1, we should characterize this relationship as being weak.
Transcribed Image Text:When the heights (in inches) and shoe lengths (also in inches) were measured for a large random sample of individuals, it was found that r = 0.89, and a regression equation was constructed in order to further explore the relationship between shoe length and height, with height being the response variable. From this information, what can we conclude? The correlation coefficient should have no units. The regression equation relating shoe length to height must have a slope equal to 0.89. The regression equation relating shoe length to height must have a positive intercept. O Approximately 89% of the variability in height can be explained by the regression equation. Because the value of r is less than 1, we should characterize this relationship as being weak.
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