What is the relative frequency of males that play soccer to total students that play sports? What is the relative frequency of females that play basketball to the total number of students that play basketball? A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is y = 0.32x – 20.51, where x is the number of times at bat and y is the number of hits. How many hits should he expect from a player who is at bat 175 times? y = 0.32(175) -20.51 y = 56 – 20.51 y = 35 35 hits Dre collected data on the ages and heights of a random sample of elementary school students. If he plots the data on a scatter plot, what relationship will he most likely see between age and height? A) A negative correlation B) No correlation C) A positive correlation D) A constant correlation The scatter plot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Using the line of best fit, predict the average consumption of bottled water in the year 2000? 19 gallons Mr. Rowell made a graph to represent the time his students spent studying for their test and their actual test score. Which is the correct equation for the line of best fit? 𝑦2 − 𝑦1 𝑦 = 𝑚𝑥 + 𝑏 𝑥2 − 𝑥1 𝑦 = 1.4𝑥 + 𝑏 65 = 1.4(7) + 𝑏 90 − 65 −9.8 = −9.8 25 − 7 55.2 = 𝑏 𝑦 = 1.4𝑥 + 55.2 25 18 1.4 Determine the correlation for each statement. A) The number of people at your party and the number of sodas you have in the refrigerator. Negative B) The amount your drive to school and the amount you have to pay for gas. Positive C) The size your dog and the number of times you take it to the vet. No Correlation Explain whether the scatter plot of the data for each of the following shows a positive, negative, or no association. Interpret the scatter plot. Negative Positive Construct a scatter plot from the data. Interpret the scatter plot. 18 16 Positive 14 12 10 1 3 5 7 9 How do you find the initial value from a table of values and from a graph? Locate where the “x” value is Zero How do you create a linear model from a scatter plot? Plot the data Draw a line through the middle of the data Using 2 points on the line, determine the slope. Using the slope and 1 of the points, determine the “B” and write the equation. Draw a graph that has a slope of -3 and has an initial value of 4. What is the linear model that represents the graph in #10? y = -3x + 4 Use the following equations, to answer questions 12-14 12. Which equation has the greatest rate of change? C. y = -5x + 2 13. What is the rate in #12? -5 14. Is the change in #13 increasing or decreasing? Decreasing Identify the patterns for each of the scatter plots as positive or negative association, linear association, nonlinear association, no correlation and/or outliers-there may be more than 1 answer for each graph: a. No Correlation b. Positive Linear c. Negative Linear d. Linear e. Linear f. Outliers 12,756 people From the table on question 16, of those with normal blood pressure, what percentage of people are over the age of 30? 𝟕𝟒𝟖𝟗 𝟗𝟒𝟖𝟐 = 𝟕𝟗% 𝟓𝟎 𝟏𝟎𝟎 = .𝟓 𝟐𝟓 𝟓𝟎 = .𝟓 𝟏𝟎 𝟐𝟎𝟎 = . 𝟎𝟓 𝟐𝟒
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