As we see in Exercise 10.44, or by using the data in StudentSurvey, the regression line to predict Weight from Height is

Figure 10.8 shows three graphs for this linear model: the scatterplot with least squares line, a histogram of the residuals, and a scatterplot of residuals against predicted values.

Figure 10.8

(a) One of the students in the dataset has a height of 73 inches and a weight of 120 pounds. Put an arrow showing the dot representing this person on the scatterplot with least squares line (or a rough sketch of the plot).
(b) Calculate the predicted value and the residual for the person described in part (a).
(c) Put an arrow showing where the person from part (a) is represented in the histogram of residuals. Also, put an arrow showing where the person from part (a) is represented in the scatterplot of residuals against predicted values.
(d) Use these plots to assess the conditions for inference on this regression model.

Transcribed Image Text:

Weight = -170+4.82Height. || 300 100 - 90 80 70 250 60 50. 200 50 150 -50 20 10 100 -100 80 70 75 Height -90 -60 -30 0 30 60 Residual 100 120 140 160 180 200 220 240 Fitted Value 65 60 85 90 Weight Frequency Residual