Question

2.17 Atkinson (Plots, Transformations, and Regression, Clarendon Press, Oxford 1985) presents the following data on the boiling point of water (F) and barometric pressure (inches of mercury). Construct a scatterplot of the data and propose a model that relates a model that relates boiling point to baro- metric pressure. Fit the model to the data and perform a complete analysis of the model using the techniques we have discussed in this chapter Boiling Point Boiling Point Barometric Pressure Barometric Pressure 24.02 24.01 25.14 26.57 28.49 27.76 29.64 29.88 30.06 199.5 20.79 20.79 22.40 22.67 23.15 23.35 23.89 23.99 201.9 201.3 203.6 204.6 209.5 208.6 210.7 211.9 212.2 199.3 197.9 198.4 199.4 199.9 200.9 201.1

Answer 1

Scatter Plot-Scatter plot is two dimensional plot for data visualisation. In sacatter plot we use dots to represent the values obtained for two diffrent variables.

Here we know that boiling point depends on Barometric pressure so we say that boiling point is dependent variable (or Outcome variable) and Barometric pressure is independent variable (Predictor variable)

Using Minitab software

Step 1 Enter the data

Step 2 Step 3

Select response as boilinig point and predictor as barometric pressure

after selecting response variable and predictor varible you get

above given table in the solution is analysis of variance table

Total Degree of freedom = N(total no of observation) -1