1. The municipality of Charlesburg records an average daily water consumption of 998 L per household using an unmetered distribution system. The town decides to install water meters at a rate of 100 households per month. After six months, an analysis shows the line of best fit for the average consumption, C, per household, versus the number of meters installed, n, has the equation C'= -0.359* + 996. What is the predicted consumption per household after 1000 meters are installed?(five marks) 2. A chain of resorts in northern Ontario rents a total of 1000 rooms. The CEO of the chain suspects that the number of rooms booked on a summer weekend is related to the cost of gasoline. The line of best fit for the number of rooms rented, y, in hundreds, versus the cost of gasoline, x, in dollars per litre, appears to follow the equation ) = -11.86x + 24.1. The data show 780 bookings for a price of $1.35/L. What is the residual for this datum?(five marks)3. A consumer's advocacy group would like to see automobile collision insurance premiums decreased. The group has collected data on the percent of customers making claims versus time, as shown. Suggest a graph that would promote support for the group's agenda.(five marks) MDM4U Lesson Assignment Page 73. A consumer's advocacy group would like to see automobile collision insurance premiums decreased. The group has collected data on the percent of customers making claims versus time, as shown. Suggest a graph that would promote support for the group's agenda.(five marks) MDM4U Lesson Assignment Page 7 Year Customer Claims (%) 2008 5.6 2009 5.4 2010 5.3 2011 5.2 2012 5.04. The editor of a psychic column in a magazine asks readers to send an email if they have ever felt the presence of a spirit in their homes. The editor writes a column based on 120 emails, of which 110 answer affirmatively. Explain the bias behind the surprising numbers. How should the survey have been conducted?(four marks) 5. A radio station invited listeners living near wind turbines to report any health effects. The station received five calls during the 15-min segment. All five callers reported health effects. What biases are present in this situation?(three marks)6. Research data on the number of computers per capita in various countries of the world. Show how a newspaper could present the data in a way that misleads readers into believing that Canada is far behind other countries.(five marks) 7. The table shows electricity generation in Ontario from different sources at a snapshot in time. Create a bar graph of these data. Then, distort the data by changing the vertical scale to a logarithmic scale. Contrast the relation between nuclear and gas sources on the two graphs. Power Source Percent Nuclear 58 Gas 26 Hydro 11 Wind 4 Other five marks)3. A publishing company invests a large sum of money in a new format for their newspaper. The table shows results of a survey of readership views on the new format. What conclusion should be drawn from the data? How can the data be presented to mislead readers into believing that the new format is a huge success? (five marks) Reader Opinion Number Strongly dislike 3 Dislike 4 No opinion 186 Like 5 MDM4U Lesson Assignment Page 9 Strongly Like 24. A tabloid newspaper headline reads "27% of Americans between 18 and 24 years old Doubt Moon Landings." Should you believe that perhaps the moon landings did not occur? What factors might contribute to such a high incidence of disbelief? What further information would you need before drawing a conclusion? (four marks) 5. At a summer camp, a group of campers participate in a combined canoe race and portage carry. The times for paddling 500 m and distances for a 5-min portage are recorded. The table shows the results for Junior, Intermediate, and Senior campers. Create a scatter plot of portage distance versus canoe time. Then, use Class as a legend attribute. What can be concluded from the plot with the legend attribute? Why does this make sense? Class Canoe Time (s) Portage Distance (m) J 215 180 J 185 220 J 180 215 J 205 200 J 220 185 I 120 275 I 125 265 115 295 145 265 130 275 95 300 115 280 110 285S 100 295 S 105 300