relationship between the age of the patient (in years) and a particular score (in points) on a measure of cognitive ability. The correlation between these variables is r= 0.62, and a regression equation is constructed in order to further explore the relationship between age and cognitive ability, with the measure of cognitive ability being the response variable and age being the explanatory variable. From this information, what can we conclude? O The regression equation relating cognitive ability to age must have a positive intercept. O Approximately 38% of the variability in the measure of cognitive ability can be explained by the regression equation. O We need more information to know if the relationship between cognitive ability and age is positíve or negative. O The correlation coefficient should have the units of "points per year." The regression equatioon relating cognitive ability to.age will have a slope equal to 0,62.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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A medical doctor has gathered data from large random sample of patients. She observed a linear
relationship between the age of the patient (in years) and a particular score (in points) on a measure of
cognitive ability. The correlation between these variables is r= 0.62, and a regression equation is
constructed in order to further explore the relationship between age and cognitive ability, with the measure
of cognitive ability being the response variable and age being the explanatory variable. From this
information, what can we conclude?
O The regression equation relating cognitive ability to age must have a positive intercept.
O Approximately 38% of the variability in the measure of cognitive ability can be explained by the regression
equation.
O We need more information to know if the relationship between cognitive ability and age is positive or
negative.
O The correlation coefficient should have the units of "points per year."
O The regression equation relating cognitive ability to-age will have a slope equal to 0.62.
Transcribed Image Text:A medical doctor has gathered data from large random sample of patients. She observed a linear relationship between the age of the patient (in years) and a particular score (in points) on a measure of cognitive ability. The correlation between these variables is r= 0.62, and a regression equation is constructed in order to further explore the relationship between age and cognitive ability, with the measure of cognitive ability being the response variable and age being the explanatory variable. From this information, what can we conclude? O The regression equation relating cognitive ability to age must have a positive intercept. O Approximately 38% of the variability in the measure of cognitive ability can be explained by the regression equation. O We need more information to know if the relationship between cognitive ability and age is positive or negative. O The correlation coefficient should have the units of "points per year." O The regression equation relating cognitive ability to-age will have a slope equal to 0.62.
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