SCLG3702: Scatterplots and Regression Lines - Mathematics Assignement Answer

SCLG3702 Mathematics Assessment Task

Q1. Answer the questions below using the data file DataC03_Q01. This data file contains an extract of data from the main chapter database that consists only of data for 19 east Asian countries.

(a) Determine the MED, MIN, and MAX of INF_MORT and the country represented by each of these. Report these as part (a) of your report.
(b) Determine the MED, MIN, and MAX of LOG_INF_MORT and the country represented by each of these. Report these as part (b) of your report.
(c) You should find in parts (a) and (b) that the same countries represent the medians, maximums, and minimums of the two variables. Why is this true? Explain this as best you can in your own words. Answer in a short paragraph.
(d) Find the MEAN, MED, SD, and CV of INF_MORT and LOG_INF_MORT. Report these statistics in a simple table that looks something like this:

(e) Based on the statistics you reported in part (d), which variable is more likely to be skewed,
INF_MORT or LOG_INF_MORT? Explain your reasoning for this, in your own words. Answer
in a short paragraph.

Q2. Use the main chapter data file (DataC03_Main) to answer the following questions.
(a) Come up with at least one theory about how you would expect a country's infant mortality rate to be related the standard of living in that country. Write a short paragraph that states and explains your theory. Then write a specific bivariate hypothesis about the relationship between INF_MORT and GDP_PC that operationalizes this theory.
(b) In your hypothesis, which variable is the dependent variable and which variable is the independent variable -- and why? Answer in one sentence.
(c) In a scatterplot of INF_MORT by GDP_PC, which variable should go on the Y (up-down) axis and which variable should go on the X (left-right) axis -- and why? Answer in one sentence.
(d) Obtain an appropriate scatterplot of INF_MORT by GDP_PC. Check to make sure that each variable appears on the correct axis. In a full paragraph, describe the shape of the scatterplot in words. In your paragraph, address the following: Do the 150 countries fall in any patterns? Is the scatterplot well-behaved? Are there any bivariate outliers?
(e) Identify the name of the country that is the most obvious bivariate outlier in the scatterplot of INF_MORT by GDP_PC? Which is it?
(f) Compute the logarithm of INF_MORT by creating a new variable, LOG_INF_MORT. Use this variable to create a scatterplot of LOG_INF_MORT by GDP_PC. Check to make sure that each variable appears on the correct axis. In a full paragraph, describe the shape of the scatterplot in words. Does using LOG_INF_MORT instead of INF_MORT improve the behavior of the scatterplot? Answer in a sentence or two.
(g) Compute the logarithm of GDP_PC by creating a new variable, LOG_GDP_PC. Use this variable to create a scatterplot of INF_MORT by LOG_GDP_PC. Check to make sure that each variable appears on the correct axis. In a full paragraph, describe the shape of the scatterplot in
words. Does using LOG_GDP_PC instead of GDP_PC improve the behavior of the scatterplot? Answer in a sentence or two.
(h) Compute the logarithms of both INF_MORT and GDP_PC to create the new variables LOG_INF_MORT and LOG_GDP_PC. Use these two new variables to create a scatterplot of LOG_INF_MORT by LOG_GDP_PC. Check to make sure that each variable appears on the correct axis. In a full paragraph, describe the shape of the scatterplot in words. Does using the logarithm of both variables improve the behavior of the scatterplot? Answer in a sentence or two.

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