Multiple Simple Linear Regression Plot

Introduction

A multiple simple linear regression plot is a scatter plot with regression lines that shows the general directions (trends) that groups of points (plots) seem to be heading. The plots show multiple relationship between a scalar dependent variable Y and an explanatory variable denoted X. It is almost identical to the Simple Linear Regression Plot except that you are checking how multiple dependent variables change with a change in the explanatory variable X.

Inputs

To illustrate the Multiple Simple Linear Regression Plot, we will run it on a dataset within South Australia

  •  Select South Australia as your area
  •  Select SA2 Chronic Disease – Modelled Estimate as your dataset, and select the following attributes:
    •  Statistical Area 2 Code
    •  Statistical Area 2 Name
    •  Type 2 diabetes (synthetic prediction) – Rate per 100
    •  Circulatory system diseases (synthetic prediction) – Rate per 100
    •  Chronic Obstructive Pulmonary Disease (synthetic prediction) – Rate per 100
    •  Hypertensive Disease (synthetic prediction) – Rate per 100

Open the Simple Multiple Linear Regression Plot tool (Analyse → Tools → Charts → Regression Multi Simple Linear Plot) and enter the following parameters as shown in the image below (Each of these are also explained below)

[Click to Enlarge]

  •  Dataset Input: For this we want to select SA2 Chronic Disease – Modelled Estimate
  •  Dependent VariablesFor this we need to select the following variables
    •  Type 2 diabetes (synthetic prediction) – Rate per 100
    •  Chronic Obstructive Pulmonary Disease (synthetic prediction) – Rate per 100
    •  Hypertensive Disease (synthetic prediction) – Rate per 100
  •  Independent Variable: select Circulatory system diseases (synthetic prediction) – Rate per 100
  • Use Variable Titles: Check this box to have “human readable names” on your output chart
  •  Chart Title: Here we enter the title for the plot. In this instance we have chosen Multiple Simple Linear Regression Plot: COPD, Type 2 Diabetes and Hypertensive Disease vs Circulatory Disease
  •  Grid: Select this if you want to choose gridlines for your graph
  •  Legend: Select this if you want to include a legend (or key) for your graph
  •  Greyscale: Select this if you want your graph to be in grey scale, rather than in the default colour

Once you have entered the parameters, click Add and Run

Outputs

Click on the Display button on the pop-up dialogue box that appears. Your output graph should look something like the graph below

[Click to Enlarge]

Showing a positive relationship between all three Chronic diseases and Circulatory System Diseases within South Australian SA2s