Based on the given data for corn, the linear regression model can be found to be y = 0.22x + 0.69.
What is the linear regression model?
The linear regression model will take the form:
y = mx + c
Using the given table, m can be found to be:
= Sp / SSx
c can then be found as:
= y - m × x
Given the values of x, SSx can be found to be:
= 2.25276
And Sp can be found to be:
= 0.556
This means that the value of m is:
= 0.556 / 2.5276
= 0.22
c is:
= 2.59 - 0.22 x 8.29
= 0.69
The linear regression model is therefore:
y = 0.22x + 0.69
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