If the predicted value when x=5 is hat (y)=39.7 and the actual value at x=5 is measured to be y=41.2 find the value of the residual at this point. residual=[?]

To find the residual at the point where \( x = 5 \), we need to use the formula for the residual in a regression model:<br /><br />\[ \text{Residual} = \text{Actual Value} - \text{Predicted Value} \]<br /><br />Given:<br />- The predicted value (\(\hat{y}\)) when \( x = 5 \) is \( 39.7 \).<br />- The actual value (\(y\)) when \( x = 5 \) is \( 41.2 \).<br /><br />Now, we can calculate the residual:<br /><br />\[ \text{Residual} = 41.2 - 39.7 \]<br /><br />\[ \text{Residual} = 1.5 \]<br /><br />So, the value of the residual at this point is \( 1.5 \).