Let the Explanatory Variable represent the age of a sample of seven randomly selected men. Let the Response Variable represent the corresponding cholesterol measurements of these men.             Explanatory​ Variable: ​ 39, ​ 52, ​ 47, ​ 43, ​ 63, ​ 58, 69               Response​ Variable: ​ 189, ​ 238, ​ 220, ​ 215, ​ 244, ​ 236, 248   ​(a) What is the equation of the regression line for this sample​ data? The​ y-intercept of your equation must be to three decimal places and the slope of your equation must be to four decimal places.   A. y​ = 2.1664x​ + 142.336   B. y​ = 1.8653x​ + 105.698   C. y​ = 1.7283x​ + 135.543   ​(b) Using the equation of your regression line from​ (a) above what is the predicted cholesterol measurement when a man is 60 years​ old? Your answer must be to four places.   A. 239.2410   B. 272.3200   C. 217.6160

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Let the Explanatory Variable represent the age of a sample of seven randomly selected men. Let the Response Variable represent the corresponding cholesterol measurements of these men.
 
          Explanatory​ Variable: ​ 39, ​ 52, ​ 47, ​ 43, ​ 63, ​ 58, 69
              Response​ Variable: ​ 189, ​ 238, ​ 220, ​ 215, ​ 244, ​ 236, 248
 
​(a) What is the equation of the regression line for this sample​ data? The​ y-intercept of your equation must be to three decimal places and the slope of your equation must be to four decimal places.
 
A.
y​ = 2.1664x​ + 142.336
 
B.
y​ = 1.8653x​ + 105.698
 
C.
y​ = 1.7283x​ + 135.543
 
​(b) Using the equation of your regression line from​ (a) above what is the predicted cholesterol measurement when a man is 60 years​ old? Your answer must be to four places.
 
A.
239.2410
 
B.
272.3200
 
C.
217.6160
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