A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (x grams) was recorded together with their yield (y kilograms). Year#1#2#3#4#5#6#7#8#9#10Weeds in roots (x)30283225252422243540Yield (y)25302740424150453025Draw a scatter diagram of these data. Label the diagram carefully.Calculate the sample correlation coefficient. Interpret your findings.Calculate the least squares line of y on x and draw the line on thescatter diagram.Based on the regression equation in part (iii.), what will be the predicted yield of apple for a tree with 37 grams of weeds in its roots? Will you trust this value? Justify your answer.Briefly comment on the suitability of the simple linear regressionmodel for the data of this question.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (x grams) was recorded together with their yield (y kilograms).

Year	#1	#2	#3	#4	#5	#6	#7	#8	#9	#10
Weeds in roots (x)	30	28	32	25	25	24	22	24	35	40
Yield (y)	25	30	27	40	42	41	50	45	30	25

Draw a scatter diagram of these data. Label the diagram carefully.
Calculate the sample correlation coefficient. Interpret your findings.

Calculate the least squares line of y on x and draw the line on the

scatter diagram.

Based on the regression equation in part (iii.), what will be the

predicted yield of apple for a tree with 37 grams of weeds in its roots?

Will you trust this value? Justify your answer.

Briefly comment on the suitability of the simple linear regression

model for the data of this question.

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