Data-based critical thinking
STA1DCT Assignment 3 (2020)Name:Student Number: Please read the instructions/hints in italics. When preparing your submission, you should delete the italicised text (including this instruction). Type (or write) you statement of originality here. Question 1: Question 2: If you wish to use word, try entering create equations in Word into a Google search to find some ideas for typesetting your workings. Otherwise, a good option may be to insert a photo. Question 3: Scatterplot A: correlation = Scatterplot B: correlation = Scatterplot C: correlation = Scatterplot D: correlation = Scatterplot E: correlation = Scatterplot F: correlation = Question 4: Answer here. Answer here. Country # of Influenza Cases per per 1 mil New variable Country # of Influenza Cases per per 1 mil New variable Argentina 2140.74 Pakistan 21.47 Australia 3642.79 Russia 131.99 Brazil 85.47 South Africa 127.76 Canada 1139.89 South Korea 234.99 China 417.44 United Kingdom 625.05 India 35.27 United States 4781.93 Japan 76.75 Uruguay 345 Mexico 237.33 Answer here. d) Answer here. e) Answer here. STA1DCT Assignment 3 Assignment 3 is due no later than 5pm Thursday the 23rd of April, 2020. You must submit your assignment electronically and as a single file via the LMS page for this subject. Where appropriate, your solutions must include your workings. In submitting your work, you are consenting that it may be copied and transmitted by the University for the detection of plagiarism. Please start with the following statement of originality, which must be included near the top of your submitted assignment: “This is my own work. I have not copied any of it from anyone else.” IMPORTANT NOTE 1: The total possible marks for this assignment is 50. There are 40 marks associated with accuracy (i.e. correctness of your answers; the breakdown of these marks is indicated on this question sheet), a further five marks for completeness (you will only get the full five marks for completeness if you make a serious attempt to answer every question) and a further five marks for your written communication (e.g. clarity, spelling, grammar, correct use of notations etc.) STA1DCT: 40 + 5 + 5 = 50 marks. IMPORTANT NOTE 2: When you are asked to calculate an answer by hand, you may still use your calculator for basic calculations (e.g. multiplication, division, taking a square-root etc.) Your workings should show that you know how a formulae or process works. 1. Consider the two linear equations below: y 10 + x = 4 (1) 2y + 90 = 15x (2) Draw both of these linear equations on the blank plot below (i.e. your answer should have two different straight lines on this blank plot). (5 marks for each line for a total of 10 marks) 1 2. This question is similar to the type of question you may encounter in one of the online numeracy quizzes. However, while the numeracy quiz requires an answer only, for this assignment submission you must also include your workings. Find the intercept and the slope of the straight line (i.e. the linear equation) containing the points (-6, -4) and (-3, -6). (10 marks) 3. Below are six different scatterplots. In a random order, the correlations associated with these scatterplots are -0.7, -0.4, 0.5, 0.8, -0.9 and 0. Your task is to correctly match these correlations with the correct scatterplot. Each correlation belongs to just one scatterplot. When you are confident with your answers then write down the correct correlation for each scatterplot on the next page. (6 marks) Scatterplot D Scatterplot E Scatterplot F Scatterplot A Scatterplot B Scatterplot C 2 Scatterplot A: correlation = . . . . . . . . . Scatterplot B: correlation = . . . . . . . . . Scatterplot C: correlation = . . . . . . . . . Scatterplot D: correlation = . . . . . . . . . Scatterplot E: correlation = . . . . . . . . . Scatterplot F: correlation = . . . . . . . . . 4. The variable # of Influenza Cases in Table 1 located at the end of this question sheet measures the number of influenza cases, in 2019, per 1 million members of the population for a country. This data was collected from the World Health Organization (WHO) website, https://www.who.int/en/. For this question you are going to choose another variable measured for the countries listed in Table 1 to see whether your chosen variable correlates with the number of influenza cases. Marks will not be allocated according to whether there is correlation present, but whether the data collected is appropriate. For the data to be appropriate the following must hold: • The data you collect for this question needs to be easily accessible, for us to check, for at least 10 of the countries that are listed in Table 1. This also means that the data must be actual measurements associated with these countries. • The data you collect must be measured for the year 2019 or a year close to 2019. Also, the variable must be in the same units for each of the countries. For example, if you choose a variable that is measured per 10 million members of the population for one country, then you need to also record the data for all other countries in units of per 10 million members of the population. Complete the following questions. (a) Briefly describe below the new variable that you have chosen including (i) the units it is measured in and (ii) where you found the data. (b) At the end of this question sheet you will find Table 1. Enter the values that you have collected for your new variable under the columns called New variable where the new variable value for each country needs to appear in the space provided to the immediate right of the country name. (4 marks) (c) Enter the data from your completed Table 1, including the data for your new variable, into Excel and create a scatterplot of the two variables making sure that you include appropriate axis labels. Copy and paste this scatterplot into your assignment solutions document. (4 marks) (d) Using Excel, calculate the correlation between these two variables. What is it equal to and what Excel formula did you use to obtain it? (6 marks) 3 (e) Provide some brief comments on what you see in the scatterplot and also on what you think the correlation value tells you. For example, does there appear to be a linear relationship between the two variables? Country # of Influenza Cases New variable Country # of Influenza Cases New variable per 1 mil. per 1 mil. Argentina 2140.74 Pakistan 21.47 Australia 3642.79 Russia 131.99 Brazil 85.47 South Africa 127.76 Canada 1139.89 South Korea 234.99 China 417.44 United Kingdom 625.05 India 35.27 United States 4781.93 Japan 76.75 Uruguay 345.00 Mexico 237.33 Table 1: Number of Influenza Cases for 2019. 4