21. The use of Pearson's correlation analysis between the average live weight of ewes and the other variables is valid because I. The collected data are quantitative. II. One variable will be used to predict the other variable. a. I only b. ll only C. Both I and II d. Neither I nor II

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For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on the following
variables from a random sample of 30 farmers.
Y = average live weight of ewes (kg)
X₁ = area of grazing land (m²)
X₂ = proportion of farm area that cannot be cultivated
X3 = proportion of area closed for lambs before weaning
The computed correlation coefficients of the independent variables with Y are summarized below:
Variable
X₁
X₂
X3
r
-0.003
0.283
0.157
p-value
0.456
0.021
0.035
21. The use of Pearson's correlation analysis between the average live weight of ewes and the other
variables is valid because
I.
The collected data are quantitative.
One variable will be used to predict the other variable.
a.
I only
b.
ll only
C.
Both I and II
d. Neither I nor II
II.
Transcribed Image Text:For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on the following variables from a random sample of 30 farmers. Y = average live weight of ewes (kg) X₁ = area of grazing land (m²) X₂ = proportion of farm area that cannot be cultivated X3 = proportion of area closed for lambs before weaning The computed correlation coefficients of the independent variables with Y are summarized below: Variable X₁ X₂ X3 r -0.003 0.283 0.157 p-value 0.456 0.021 0.035 21. The use of Pearson's correlation analysis between the average live weight of ewes and the other variables is valid because I. The collected data are quantitative. One variable will be used to predict the other variable. a. I only b. ll only C. Both I and II d. Neither I nor II II.
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