Question

onsider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered negative 4 to positive 4 and the vertical axis numbered negative 4 to positive 4. Points show an upward trend. Which is the residual value when x = 2? –2 –1 1 2

Answer 1

x = 2

Explanation:

The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.

The equation of the line of best fit is y = 0.5x + 1.

Substituting x = 2 into the equation, we get:

y = 0.5(2) + 1

y = 1 + 1

y = 2

So, when x = 2, the predicted y-value on the line of best fit is 2.

To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.

Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.