Question
y = -0.694x + 17.22
Find the residual of the data point (4,14.59)
Round the answer to the nearest thousandths.
Find the residual of the data point (4,14.59)
Round the answer to the nearest thousandths.
Answers
GPT 3.5
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.
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.