The heights of a sample of 10 fathers and their eldest sons are given below : Height of fathers (X) Height of son (Y) 170 167 162 193 167 166 169 171 164 165 168 167 166 166 168 165 168 170 165 168 (i) Compute the regression of Y on X. (ii) Compute the correlation coefficient. (iii) Compute the coefficient of determination and give your comments.
The heights of a sample of 10 fathers and their eldest sons are given below : Height of fathers (X) Height of son (Y) 170 167 162 193 167 166 169 171 164 165 168 167 166 166 168 165 168 170 165 168 (i) Compute the regression of Y on X. (ii) Compute the correlation coefficient. (iii) Compute the coefficient of determination and give your comments.
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
Problem 4PPS
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Question
![The heights of a sample of 10 fathers and their eldest sons are given below :
Height of fathers (X)
170
167
162
193
167
166
169
171
164
165
Height of son (Y)
168
167
166
166
168
165
168
170
165
168
(i) Compute the regression of Y on X.
(ii) Compute the correlation coefficient.
(ii) Compute the coefficient of determination and give your comments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36148fc-745d-4e0e-ba84-feb8bb16415d%2Fa54797a8-90d5-46df-a6f5-dd3d4b9184df%2Fb0dtqb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The heights of a sample of 10 fathers and their eldest sons are given below :
Height of fathers (X)
170
167
162
193
167
166
169
171
164
165
Height of son (Y)
168
167
166
166
168
165
168
170
165
168
(i) Compute the regression of Y on X.
(ii) Compute the correlation coefficient.
(ii) Compute the coefficient of determination and give your comments.
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