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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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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