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Math Lab Review on Scatter plots and Correlation 1. For 10 days, Romero kept a record of the number of hours he spent listening to music. The information is shown in the table below. Which scatter plot shows Romero's data graphically? A. B. C. D. E. 2. A scatter plot was constructed on the graph below and a line of best fit was drawn. What is the equation of this line of best fit? A. y = 2x - 3 B. y = x + 1.5 C. y = x - 3 D. y = 4x + 5 3. Plot points and draw a straight line to represent this equation: y = 3x + 2 (Do this in your notebook and scan the answer in) 4. Melissa works in a shoe store after school. For homework, her class was asked to make observations and collect data to be graphed. Melissa had once heard that the length of a person's forearm (y) is relative to their shoe size (x) . She asked seven women in the store if she could take their measurements. Her collected data is given in the accompanying table. Use Desmos to draw a scatter diagram of the information and screenshot your answer in Answer:_____________________________ 5. The scatter plot below shows the profit, by month, for a new company for the first year of operation. Kate drew a line of best fit, as shown in the diagram. Using this line, what is the best estimate for profit in the 20th month? A. $45,000 B. $42,500 C. $40,000 D. $47,500 Answer:_____________________________ 6. Which scatter plot represents a weak positive correlation? A. B. C. D. 7. Which scatter plot represents a strong negative correlation? A. B. C. D. 8. For which scatter plot is the correlation coefficient approximately 0? A. B. C. D. 9. The scatter plot below would most likely have a correlation coefficient of A. B. C. D. −0.88 0.76 1.0 −1.0 10. The scatter plot below would most likely have a correlation coefficient of A. B. C. D. −0.95 −1.0 1.0 0.80 11. Based on the scatter plot shown, it would be reasonable to conclude that the correlation coefficient for x and y is A. B. C. D. less than −0.5 Between 0 and 1 equal to 0 between −0.5 and 0 _ 12. State whether the correlation in given graph is positive, negative, or none: Answer:_____________________________ 13. State whether the correlation in given graph is positive, negative, or none: Answer:_____________________________ Answers 1. D 2. A 3. 4. See graph 5. D 6. D 7. A 8. D 9. A 10. C 11. B 12. Positive 13. None