Core Focus on Linear Equations Block 5 Review ~ Two-Variable Data Name Period Date Part I Selected Response For numbers 1a 1d, circle the type of correlation you would expect the following data sets to have. 1a. the height of students and the number of pets they have For numbers 3a 3d, circle or for each statement based on the line of best fit. 1b. the number of days a student is absent and their grade in a class 1c. a student s age and their height 1d. the number of customers to an ice cream shop and the store s profits 3a. If y = 28, then x 18 3b. If x = 8, then y 4 2. How would you describe the correlation in the following scatter plot? 3c. If x = 24, then y 36 3d. If y = 16, then x 10 4. What are the characteristics of a good line of best fit? I. The line follows the direction of the data well. II. The line goes through any two points on the scatter plot. III. Approximately half of the points are above the line and half of the points are below the line. A. correlation B. Positive correlation C. Negative correlation D. rmal correlation A. I only B. II only C. I and III only D. I, II, and III
Own a Car 5. A scatter plot has Q-points of (8, 16) and (20, 19). What is the equation for the line of best fit? A. B. C. D. y 4x 16 y 1 x 4 4 y 4x 16 y 1 x 14 4 6. Dave rented a houseboat to his friends for a weekend. The amount (A) he would charge each of his friends could be modeled by: A 160 8n, where n represents the number of friends who visited. Dave ended up charging each of his friends $72. How many friends visited for the weekend? A. 9 B. 11 C. 15 D. 416 8. Mikhail wants to collect data about the amount of time 8 th graders spend weekly on the internet. Which would be the best way to get his data? A. Ask students in the computer club about their weekly internet usage. B. Have a voting box set up in the cafeteria where students can choose to enter their data. C. Have 8 th grade teachers give a survey where students state their data anonymously. D. Survey the first 100 students who come to school that morning. For numbers 9a 9d, use the information in the table below to circle or for each statement. Carpool 15 20 7. What is the five-number summary of the following data set? 52, 53, 55, 59, 60, 60, 64 A. 52 ~ 54 ~ 59 ~ 60 ~ 64 B. 52 ~ 53 ~ 59 ~ 60 ~ 64 C. 52 ~ 55 ~ 59 ~ 60 ~ 64 5 10 9a. The relative frequency for people who carpool and do not own a car is 0.1. 9b. The relative frequency for people who carpool and own a car is 0.3. D. 52 ~ 58 ~ 59 ~ 60 ~ 64 9c. The conditional frequency for carpoolers who own a car is 0.8. 9d. The conditional frequency for carpoolers who do not own a car is 0.25.
Core Focus on Linear Equations Block 5 Review ~ Two-Variable Data Name Period Date Part II Constructed Response For numbers 1 3 below, use the scatter plot at right. 1. Use a straight-edge to draw in a line of best fit on the scatter plot. Explain why your line is a good fit. 2. Use your line of best fit to find the approximate value of y when x = 24. 3. Describe the correlation in the scatter plot. 4. What are the coordinates of the four Q-points in the scatter plot at left? 5. Which two Q-points best follow the direction of the data? 6. Given the equation below, if y = 9, what is the value of x? y 3x 45
7. Rudy drew the following graph to represent the data he collected. 30 Students Love Math! a. What is misleading about his graph? 28 26 24 22 20 Math Science English Health b. Redraw the graph so that it is not misleading. 8. The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had. Minutes (x) Rebounds (y) 5 9 10 14 16 17 19 2 5 4 6 6 8 9 a. Draw a scatter plot of the data. Label the axes. b. Find the Q-points that best follow the direction of the data. c. Find the equation of the line of best fit based on the Q-points in part b above. d. Use your equation from part c above to predict how many rebounds a player would have if they played 30 minutes in the game.
Buy Digital Downloads Buy Digital Downloads 9. Two hundred random students were asked whether or not they bought music on CDs and whether or not they bought music as digital downloads. Buy CDs 90 60 30 20 a. Complete the two-way relative frequency table below. Buy CDs b. Write the conditional frequencies for students who buy music as digital downloads. c. If a student buys digital downloads are they less likely to buy CDs? Explain your reasoning.
Core Focus on Linear Equations Block 5 Review ~ Two-Variable Data Name Period Date Part III Problem Solving Maria wants to throw a birthday party for her 10-year-old daughter, Clara. She wants to hire entertainment and food for the party. There are two companies in town that offer their services. The amount that they charge (C) depends on the number of people (p) at the party. Each company s final price can be determined by the following equations: Bozo Inc.: C 45 3. 50 p Happy-Fun Entertainment: C 10 5p If Maria is planning on having 30 people at the party, which is the better deal and how much will she save compared to the other company?