Question

8. Residual candy Data were collected on a sample of 12 brands of movie candy. The scatterplot shows the relationship between x = amount of sugar (in grams) and y = number of calories, along with the least-squares regression line. The standard deviation of the residuals for this model is s = 105.5. Interpret this value.

Answer 1

The standard deviation of the residuals being 105.5 means that the average vertical distance between the actual data point and the fitted points is 105.5

The standard deviation , s in this case means the residual standard deviation . This value measures how well the estimated regression line fits the actual data points. It represents the average vertical distance between each data point and its corresponding point on the regression line.

Hence, the variability of the residual value from the mean is 105.5.

Answer 2

We must interpret the standard deviation of this linear regression.

The standard deviation represents the average distance that the observed values fall from the regression line. In this case, the average distance between scatter points and the regression line is s = 105.5 g.