MAS183 Statistical Data Analysis Semester 1, 2020
Assignment 1 –
Read pages 13-14 of the Unit Information and follow the instructions carefully.
This assignment covers material in chapters 1 to 4 of the Unit Notes. R must be used for all graphs and calculations. All graphs must have titles and axis titles. Numerical answers should be supported by relevant output either included at the appropriate points or appended to the end of your assignment. Data files are available from the Data Files page on LMS. The data is modified from the original sources.
Total marks = 40.
Driving heavy equipment on wet soil can compress the soil and make it harder for crops to grow. The data file SoilCompress.csv gives data on the penetrability of the same soil at different levels of compression.1 The data are in two columns, as follows:
Compindicates the compression level of the soil in which each penetrability observation was made. Values are “Compressed”, “Intermediate” or “Loose”.
Pentthe penetrability observations in unspecified units. Higher values indicate that soil is more penetrable (i.e., easier to penetrate).
We are interested in comparing the distributions of soil penetrability observed for soils at the three compression levels.
(a) Paying careful attention to graphical principles of clarity, simplicity and accuracy, provide graphs that allow the distributions of soil penetrability to be compared between soils at different levels of compression. Construct your graphical comparison using –
(b) Provide the mean, median and sample standard deviation for each distribution.
The effects of climate change include change in sea temperatures and shifts in fish populations. The data file AnglerFish.csv contains data concerning angler fish populations in the North Sea over the period 1977 to 2001.2 The variables are as follows:
tempthe mean bottom temperature (in °C) of the North Sea during winter in a particular year
latthe mean northern latitude (° of latitude) at which angler fish populations were found during that year
We are interested in the relationship (if any) between mean sea bottom temperature and the mean latitude at which angler fish populations were found.
(a) Which variable is the predictor and which is the response, and why?
For each data variable used in this assignment (2 variables in each of questions 1 and 2), classify its data type in terms of numerical or categorical, discrete or continuous and nominal or ordinal as appropriate in each case.
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