Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. Thê accompanylng dala show results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x). Laetisaric acid concentration (uG/mL) Fungus growth (mm) 33.3 31.0 3 29.8 3 27.8 28.0 29.0 10 25.5 10 23.8 20 18.3 15.5 20 30 11.7 30 10.0 Mean 11.500 23.642 Standard deviation 10.884 7.8471 T=-0.98754 a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when 25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot shows no evidence of a non-linear relationship in the data. b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acic concentration and fungus growth.
Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. Thê accompanylng dala show results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x). Laetisaric acid concentration (uG/mL) Fungus growth (mm) 33.3 31.0 3 29.8 3 27.8 28.0 29.0 10 25.5 10 23.8 20 18.3 15.5 20 30 11.7 30 10.0 Mean 11.500 23.642 Standard deviation 10.884 7.8471 T=-0.98754 a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when 25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot shows no evidence of a non-linear relationship in the data. b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acic concentration and fungus growth.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hint: Do calculations manually and show all workings
Transcribed Image Text:Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. The accompanying data show the
results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x).
Laetisaric acid concentration (uG/mL) Fungus growth (mm)
0.
33.3
31.0
29.8
27.8
6.
28.0
6.
29.0
10
25.5
10
23.8
20
18.3
20
15.5
30
11.7
30
10.0
Mean
11.500
23.642
Standard deviation
10.884
7.8471
T =-0.98754
%3D
a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when
25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot
shows no evidence of a non-linear relationship in the data.
b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acid
concentration and fungus growth.
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