Below is a scatterplot with a least-squares regression line drawn on the plot. B

Question

Below is a scatterplot with a least-squares regression line drawn on the plot. Based on the least-squares regression line, one would predict that the distance traveled for a person at age 60 would be about what value? One set of data gives the following least-square regression equation: Predicted Area = -40 + 36 x What will the Predicted Area be if the distance (x) is 14 inches? Explain what it means if a data point has a negative residual. Use the scatterplot below. a) Identify an outlier by drawing a CIRCLE around the point. Explain your choice. b) Identify an influential point by drawing a TRIANGLE around the point. Explain your choice. Draw an EXPONENTIAL Curve.

Explanation / Answer

31)

From the LS regression, we can predict, distance travelled will be 400 for Age 60. (From the straight line)

32)

Predicted Area = -40 + 36*x = -40 + 36*14 = 464

33)

The residual is the actual (observed) value minus the predicted value. If you have anegative value for a residual it means the actual value was LESS than the predicted value.

34)

An outlier is a data point that diverges from an overall pattern in a sample. An influential point is any point that has a large effect on the slope of a regression line fitting the data. They are generally extreme values.

So outlier is at top right most corner

Influential point is data point below the line

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