A. Test the hypothesis: The older you are, the more money you earn. Plot the data on the scatter plot below, choosing appropriate scales and labels.
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1 MPM1D Scatterplot Assignment A. Test the hypothesis: The older you are, the more money you earn. Plot the data on the scatter plot below, choosing appropriate scales and labels. Age Earnings ($) Note: The symbol is used to signal a break in the axis when the scale does not start at zero to avoid a large empty space in one corner of the graph. 1) Draw a line of best fit. Describe the trend in the data. 2) Does the data support the hypothesis? Give reasons to support your answer. (Refer to the scatter plot.) 3) Explain why the data for ages over 65 do not correspond with the hypothesis. 4) Explain what the point (41, 35000) represents.
2 B. Anthropologists and forensic scientists use data to determine information about people. Scientists can make predictions about the height, age, and sex of the person they are examining by looking for relationships in large amounts of data. 1. Construct a graph of the length of the humerus bone vs. the length of the radius. 2. Circle the point on the graph that represents the data for a radius that is 21.9 cm long. How long is the humerus?. Length of Radius (cm) Length of Humerus (cm) Put a box around the point on the graph that represents the data for a humerus that is 27.1 cm long. How long is the radius?. 4. Describe the trend. 5. Describe the relationship: As the length of the radius gets longer, the humerus. 6. a) Draw a line of best fit. b) Use the line of best fit to predict the length of the humerus, if the radius is 24.5 cm long. Did you interpolate or extrapolate? c) Use the line of best fit to predict the length of the radius, if the humerus is 25 cm long. Did you interpolate or extrapolate?
3 C. Imagine you work for a company that is trying to determine different ways to improve the life of a car. One thing you have been asked to study is how effective oil changes are in keeping a car running. Below is a comparison of the number of oil changes in a year and the cost of auto repairs. 1. Using the data provided, plot the points on a graph. The graph should have an appropriate scale, labelled axes, and a title. Use the graph to answer the questions listed below the table. Do Oil Changes Payoff? Driver Oil Changes (Per Year) Annual Repair Cost ($) Lloyd Samantha Tom Laura Jeff Glenda Gord Marlene Jim Sharon Terry 8 95 Bill Helen Gary Darren Pat 10 0 Jean Gavin Shirley Repair Cost Number of Oil Changes 2. Analyse the pattern of points on your graph. What does this indicate about the relationship between the number of oil changes and repair bills? 3. Do frequent oil changes guarantee lower repair bills? Explain. 4. If you were a car owner how often would you change your oil? Explain. 4. Draw a line of best fit and estimate your repair costs if you had 2, 4, 6 or 8 oil changes in a year. Show your work on the graph.
4 D. The Environmental Club collected the following data over a two-week period. Number of Cans Sold Number of Cans in Recycling Bin a) Make a well-labelled scatter plot of the data. b) Which is the dependent variable? Explain your reasoning. c) Circle any outliers on the scatter plot. d) Sketch a line of best fit on the scatter plot. e) Describe the relationship between the number of cans sold and the number of cans recycled. f) Using your line of best fit: If 70 cans of pop are sold, how many cans would you expect to be in the recycling bin? g) Using your line of best fit: If 70 cans of pop are recycled, how many cans of pop would you expect to have been sold?
5 E. This table gives the mean body temperatures of nine beetles at certain air temperatures. Temperatures ( C) Air Body a) Make a scatter plot of the data. b) Identify the dependent and independent variables and determine what relationship, if any, exists in the data. c) Draw a line of best fit for the data in the scatter plot. d) Predict the body temperature of a beetle at air temperature of i) 27.5 C ii) 35 C F. The world s population, in millions of people, for the years 1800 to 2000, is recorded in the table. Year Population (millions) a) Draw a graph of the data. (3C) b) What is the dependent variable? (1A) c) Describe any trends you can find in the data. (2A) d) Use your graph to estimate when the world s population reached 4 billion. (1A)
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