Introducing Scatter Plots
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- Jeffry Hudson
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1 Introducing Scatter Plots A scatter plot is a type of graph that relates two groups of data Name: _ What does this trend tell us about grades and how much TV you watch? What kind of correlation would you expect between the following data sets? 1 A person s age and the number of pets he/she has 2 The number of times you brush your teeth and the number of cavities you have 3 The number of days it rains in a year and the number of umbrellas sold 4 Which graph? Explanation:
2 ~~ Page 2 ~~ 5 Which graph? Explanation: Introducing Trend Lines or Lines of Best Fit You can graph a function on a scatter plot to help show a relationship in the data Sometimes the function is a straight line This line, called a trend line, helps show the correlation between data sets more clearly It can also be helpful when making predictions based on the data 6 7 Based on the trend line, predict how many wrapping paper rolls need to be sold to raise $500
3 ~~ Page 3 ~~ Practice with Scatter Plots For Items 1 and 2, identify the correlation you would expect to see between each pair of data sets Explain 1 The outside temperature in the summer and the cost of the electric bill 2 The price of a car and the number of passengers it seats 3 The scatter plot shows the number of orders placed for flowers before Valentine s Day at one shop Based on this relationship, predict the number of flower orders placed on February 12 _ 4 A group of friends recorded the time it took to ride their bikes around the park The scatter plot shows their results with the line of best fit Using the line of best fit, which is closest to the number of minutes it would take to complete 9 laps? A 4 B 5 C 6 D 7
4 ~~ Page 4 ~~ 6 Which graph best shows a positive correlation between the number of hours studied and the test scores? 7 Which of the scatter plots suggests a strong negative correlation? 8 Use the line of best fit to predict how many tornadoes may be reported in the United States in 2015 if the trend continues Tornado Activity Frequency Year
5 Review Writing an Equation from a Graph Find the slope of the line, the y-intercept of the line, and write the equation for the line ~~ Page 5 ~~
6 ~~ Page 6 ~~ Using Scatter Plots to make Predictions Examples of lines drawn: Bad line: too many points above the line Bad line: too many points below the line Bad line: not close to most of the points Good Line
7 ~~ Page 7 ~~ 1 For each scatter plot, draw a line of best fit State whether the scatter plot has a positive, negative, strong, or weak correlation Error Count 2 Music Success 3 Growth 4 Height and Weight 5 Navada 6 Sleeping? 7 Studying? 8
8 ~~ Page 8 ~~ For the next two scatter plots, the trend line is drawn and marked Find the slope and y-intercept and write an equation for the line Use your equation to answer the question Type B Bacteria Type A Bacteria 9 10 For the next two scatter plots, draw an appropriate trend line State the slope and y-intercept and write an equation for the line Use your equation to answer the question 11 Basketball 12 Making the Grade m =, b = m =, b = equation: equation: The expected number of baskets 10 feet from the basket is about The expected grade average on a test you spend 45 minutes studying for is about
9 ~~ Page 9 ~~ 13 Create a scatter plot from the data, draw an appropriate trend line State the slope and y-intercept and write an equation for the line Use your line of best fit to answer the questions The table shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals Hours of Sunshine # of Visitors Museum Visitors m =, b = equation: The number of visitors for 4 hours of sunshine The hours of sunshine when 250 people visit 14 Create a scatter plot from the data, draw an appropriate trend line State the slope and y-intercept and write an equation for the line Use your line of best fit to answer the questions The table shows the number of total calories for various sandwiches and their corresponding number of grams of total fat Sandwich Total Fat (g) Hamburger Cheeseburger Quarter Pounder Quarter Pd with Cheese Big Mac Total Calories Arch Sandwich Special Arch Special with Bacon Crispy Chicken Fish Fillet Grilled Chicken Grilled Chicken Light m =, b = equation: The number of calories if the sandwich has 40 grams of fat The number of grams of fat if the sandwich has 250 calories
10 ~~ Page 10 ~~ Extra Practice with Scatter Plots and Lines of Best Fit to Make Predictions #1 and #2 will need to be completed on notebook paper #3 and #4 will need to be completed on graph paper
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