An equation is given by Y (hat) = 20 + 0.75X. What will be the value of the residual at the point X=100, Y=90 in fitted regression?Select an option Clear Response50-515
Question
An equation is given by Y (hat) = 20 + 0.75X. What will be the value of the residual at the point X=100, Y=90 in fitted regression?Select an option Clear Response50-515
Solution
The residual is the difference between the observed value and the predicted value.
Here's how to calculate it:
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First, plug the given X value into the equation to find the predicted Y value (Y hat). The equation is Y hat = 20 + 0.75X. So, if X=100, Y hat = 20 + 0.75*100 = 95.
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Then, subtract the predicted Y value from the observed Y value to find the residual. The observed Y value is given as 90. So, the residual = Y - Y hat = 90 - 95 = -5.
So, the value of the residual at the point X=100, Y=90 is -5.
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