y = -0.694x + 17.22
Find the residual of the data point (4,14.59)
Round the answer to the nearest thousandths.
To find the residual, we first need to calculate the predicted y-value for x = 4 using the given equation.
Substitute x = 4 into the equation y = -0.694x + 17.22:
y = -0.694(4) + 17.22
y = -2.776 + 17.22
y = 14.444
The predicted y-value for x = 4 is 14.444.
Now, we can find the residual by subtracting the predicted y-value from the actual y-value:
Residual = Actual y - Predicted y
Residual = 14.59 - 14.444
Residual = 0.146
Therefore, the residual of the data point (4,14.59) is 0.146.