The physical characterises of human bodies are an important anthropological research. The relationship between height and weight have been studied in the literature to monitor human health. The Table below summarises one of collected data in terms of height versus weight. (a)Work out the prediction equation for weight as a function of height. (b) The Figure below shows part of the Minitab output for a linear regression analysis for weight. Explain the analysis in the table, calculate the values blocked in the table. (c) Discuss the quality of the linear model for weight based on the diagnostics in the Minitab output above and the residuals plot displayed below. (d) Discuss the evidence that a quadratic model would provide a better model for the weight based on the Minitab regression output shown below.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8