A researcher was trying to establish a relationship between height and weight of individuals. For this purpose he decided to take a random sample of 10 persons and noted their height in cms and weight in Kgs . The data is given below.: Height in cms - 150,147,132,160,153,155,162,146,137 ,140 ; Weights (kgs) respectively are 60,47,52,65,67,55,70,63,57,64. The relationship is as follows: height = 104.93 + 0.721; weight and weight = 2.33 + 0.389 height. Please help me how to calculation the variation value. The explained variation in height based on weight is              a) 28 b) 35 c) 373 d)   0.451        The explained variation in weight based on height is              a) 35 b) 373 c) 451 d)   0.28

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 23PFA
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A researcher was trying to establish a relationship between height and weight of individuals. For this purpose he decided to take a random sample of 10 persons and noted their height in cms and weight in Kgs . The data is given below.:

Height in cms - 150,147,132,160,153,155,162,146,137 ,140 ;

Weights (kgs) respectively are 60,47,52,65,67,55,70,63,57,64.

The relationship is as follows:

height = 104.93 + 0.721; weight and weight = 2.33 + 0.389 height.

Please help me how to calculation the variation value.

The explained variation in height based on weight is             

  1. a) 28
  2. b) 35
  3. c) 373
  4. d)   0.451       

The explained variation in weight based on height is             

  1. a) 35
  2. b) 373
  3. c) 451
  4. d)   0.28      
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