1.1. The following table shows the height, h cm, and weight, w kg, for each of eleven students at a sixth form college.

The following statistics were calculated for the data on height:

mean=159.5 cm,   standard deviation=45.3 cm

An outlier is an observation which lies more than ±2 standard deviations from the mean.

(i) Show that h=17 is an outlier.

(ii) Explain why this outlier should be omitted from the data.

1.2. With the outlier data excluded, the equation of the regression line of w on h is  w = $-$87.6 + 0.845h.

(i) Exclude the outlier data from the recorded measurements and draw a scatter diagram to represent the data for the remaining ten students.

(ii) Draw the regression line on your diagram.

1.3. Based on your diagram, along with the regression equation, to what extent would you say that a person’s height may be used as an accurate predictor of his or her weight?