Question 1 (9) The table below shows the amount of fertilizer (g) and the yield of wheat (kg) determined by an experiment. Fertilizer (x) 9.2 7.8 15.8|19.0 20.4 Wheat yield (y)5.9 11.5 12.4 20.8 17.4 1.1 Determine the equation of the least square regression line. (3)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Question 1
(9)
The table below shows the amount of fertilizer (g) and the
yield of wheat (kg) determined by an experiment.
Fertilizer (x) 9.2 7.8 15.8|19.0 20.4
Wheat yield (y) 5.9 11.5 12.4 20.817.4
1.1
Determine the equation of the least square regression
line.
(3)
1.2
Determine and interpret the correlation coefficient.
(2)
1.3
Calculate
and
interpret
the
coefficient
of
determination.
1.4
Estimate the wheat yield if the amount of fertilizer is
13.8g.
(2)
Transcribed Image Text:Question 1 (9) The table below shows the amount of fertilizer (g) and the yield of wheat (kg) determined by an experiment. Fertilizer (x) 9.2 7.8 15.8|19.0 20.4 Wheat yield (y) 5.9 11.5 12.4 20.817.4 1.1 Determine the equation of the least square regression line. (3) 1.2 Determine and interpret the correlation coefficient. (2) 1.3 Calculate and interpret the coefficient of determination. 1.4 Estimate the wheat yield if the amount of fertilizer is 13.8g. (2)
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