Task 1: Graph reading (4 marks total) 1. The adjacent graph shows the 2015 Canadian population by province and territory. a. Saskatchewan's population in 2015 was about 1.1 million. About how many people lived in Alberta at this time? Justify your answer. (2 marks) b. If all provinces and territories grew at the same rate, what would Quebec's population be when Canada's population reached 50 million? Show your calculation. (2 marks) Task 2: Graph creation and analysis (10 marks total) 2. Given the data in the table below, answer questions a) to e). Rainfall (mm) Runoff (mm) 20 5 50 12 80 21 100 35 125 41 150 58 200 74 a. Create a scatter plot using these data. (2 marks) b. Determine the linear regression equation and correlation coefficient. Include details from the method you used to find the equation: Excel, GeoGebra, or Open Office file; image of graphing calculator screen shot; or manual calculations. (2 marks) c. Is this a positive or negative correlation? Is it a weak or a strong correlation? (2 marks) d. A particular storm had 300 mm of rain. What would be a good prediction of the runoff? (2 marks) e. Another storm had 180 mm of rain with 6.0 mm of runoff. Would you consider this data an outlier? Suggest a reason that might explain this data point. (2 marks) Task 3: Correlation and interpretation of data (6 marks total) 3. For each of the following, state whether you would expect to find a positive, a negative, or no correlation between the two variables. Then, suggest a probable reason for the relationship and write a short explanation for your reasoning for the type of relationship that you chose. a. The number of hours spent studying and achievement on an exam (2 marks) b. The number of years remaining to retirement and the value of an individual's savings and RRSP (registered retirement savings plan) (2 marks) c. A person's level of physical fitness and the chance they enjoy action/adventure movies (2 marks) Task 4: Interpreting a statistical report (10 marks total) 4. Read Youth correctional statistics in Canada, 2013/2014 and then answer the questions that follow. Excerpted from: Youth correctional statistics in Canada, 2013/2014 The Rate of Youth Involved in the Correctional System Continues to Fall The majority of youth who are involved with the youth correctional system are being supervised in community corrections rather than in custody. In 2013/2014, for the nine reporting jurisdictions, there were 9458 youth being supervised on an average day. Of this total, 90% were being supervised in the community, primarily while serving a sentence of probation. These findings are consistent with the YCJA [Youth Criminal Justice Act] sentencing principles which state that all sanctions other than custody should be considered for youth whenever appropriate. The average daily rate of youth involved in correctional services was 63 per 10 000 youth population. This was down 9% from the year before and 25% from five years earlier. The youth crime rate has also been decreasing over the last decade. There were declines in both the youth custody and community populations in 2013/2014. On average 8514 youth were being supervised in the community on a typical day. This equated to a rate of 57 young persons per 10 000 youth, a figure that was down 9% from the previous year and 26% lower than five years earlier. There were 1019 young persons in custody on any given day, resulting in a youth incarceration rate of 6 per 10 000 youth population. The youth incarceration rate declined from 7 per 10 000 youth in 2012/2013 and dropped for the sixth consecutive year, continuing the downward trend since the rate peaked in the mid-1990s (Chart 1). Youth incarceration rates were highest in Manitoba and Nunavut, reporting rates of 29 and 22 youth in custody per 10 000 youth population, respectively. Rates were lowest in British Columbia (2 per 10 000 population) and Ontario (4 per 10 000 population). In 2013/2014, the incarceration rate fell in all but three jurisdictions. Most admissions to youth correctional services involve males The characteristics (sex, age and Aboriginal status) of youth involved in correctional services are available for the admissions data collected through the YCCS [Youth Custody and Community Services] and Integrated Correctional Services Survey (ICSS). This means that the same person may be represented several times in the data as they move from one type of correctional supervision to another. Males continue to represent the majority of youth admissions to correctional services. In 2013/2014, 77% of all admissions to correctional services in the nine reporting jurisdictions were male youth. This proportion has remained constant for the past five years and is consistent across most types of correctional supervision. Admissions of males were most prevalent in sentenced custody, where 84% of admissions were attributable to male youth in 2013/2014. Majority of admissions to the correctional system involve older youth Youth correctional services supervise young people who were between the ages of 12 and 17 years at the time of the offence. Youth who have turned 18 or older may remain in the youth system because they were under 18 at the time of the offence. Most admissions to correctional services in 2013/2014 involved older youth. In particular, for the nine reporting jurisdictions, almost 7 in 10 admissions (69%) involved youth 16 years or older and nearly 9 in 10 admissions (87%) involved youth who were at least 15 years old). Youth aged 12 years represented 1% of total admissions, a finding that has been consistent for the last five years. Aboriginal youth are over-represented in the correctional system As in previous years, a disproportionate share of admissions to youth correctional services in 2013/2014 involved Aboriginal youth. For the nine reporting jurisdictions, Aboriginal youth accounted for 41% of all admissions while representing 7% of the youth population in these same jurisdictions. The disparity between Aboriginal and non-Aboriginal youth was more pronounced among girls. Aboriginal girls accounted for 53% of female youth admitted to the corrections system, whereas 38% of males admitted were Aboriginal youth. Close a. In 2013/2014, where were most of the youths involved in the correctional system? (2 marks) b. What is the only period the incarceration rate slightly increased? (2 marks) c. What two jurisdictions had the highest incarceration rates? (2 marks) d. In 2013/2014, what percentage of admissions to correctional services were female? (2 marks) e. Generally speaking, what age group represents the vast majority of admissions to correctional services? (2 marks) Task 5: Misleading graphs (4 marks total) 5. Consider the following two graphs. a. In the first graph, what has been done to make it appear that the birth rate in Manitoba is growing very quickly between 2007 and 2009? (2 marks) b. Suppose you were working for the current political party in power in Canada. What could you do to the following graph to make it appear that total energy research and development in Canada has been growing quickly? (2 marks) Task 6: Researching data-management careers (6 marks total) 6. Use the Internet to research the career of market researcher, and then answer the following three questions. a. What does a market researcher do? (List two tasks.) (2 marks) b. List two potential employers that hire market researchers. (2 marks) c. What type of education is needed to become a market researchers? (2 marks)