Data on the relationship between plant age and dry matter in the stalk are given in the Table. X (Age) 4 1 1 14 16 18 2 4 49 4 2 4 Y (Dry matter, %) 4 51 51 8 5 8 Express the relationship between the exhausted age and dry matter level with the regression equation (Ý = aX + b). ii) Using the obtained equation, estimate what the dry matter% of plants with a age of 22 weeks will be. iii) By drawing the skater diagram, find the correlation coefficient and interpret the found values. i) ii) iii)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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Data on the relationship between plant age and dry matter in the stalk are
given in the Table.
X (Age)
4 6 8
1
1
14
16
18
2
3
4
Y (Dry matter, %)
4
4
49
4
51
51
8
8
i)
Express the relationship between the exhausted age and dry matter level
with the regression equation (Ý = aX + b).
ii) Using the obtained equation, estimate what the dry matter% of plants with
a age of 22 weeks will be.
iii) By drawing the skater diagram, find the correlation coefficient and
interpret the found values.
ii)
iii)
Transcribed Image Text:Data on the relationship between plant age and dry matter in the stalk are given in the Table. X (Age) 4 6 8 1 1 14 16 18 2 3 4 Y (Dry matter, %) 4 4 49 4 51 51 8 8 i) Express the relationship between the exhausted age and dry matter level with the regression equation (Ý = aX + b). ii) Using the obtained equation, estimate what the dry matter% of plants with a age of 22 weeks will be. iii) By drawing the skater diagram, find the correlation coefficient and interpret the found values. ii) iii)
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