Unit 6, Lesson 3: What a Point in a Scatter Plot Means
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1 GRADE 8 MATHEMATICS BY NAME DATE PERIOD Unit 6, Lesson 3: What a Point in a Scatter Plot Means Let s investigate points in scatter plots. 3.1: The Giant Panda A giant panda lives in a zoo. What does the point on the graph tell you about the panda?
2 3.2: Weight and Fuel E6ciency m.openup.org/1/ The table and scatter plot show weights and fuel of 18 cars. car weight (kg) fuel e6ciency (mpg) A 1, B 1, C 1, D 1, E 1, F 1, G 2, H 1, I 2, J 1, K 2, L 1, M 2, N 1, O 1, Which point in the scatter plot represents Car L s measurements? 2. What is the fuel e@ciency of the car with the greatest weight? 3. What is the weight of the car with the greatest fuel e@ciency? 4. Car S weighs 1,912 kilograms and gets 16 miles per gallon. On the scatter plot, plot a point that represents Car S s measurements. 5. Cars N and O, shown in the scatter plot, are made by the same company. Compare their weights and fuel e@ciencies. Does anything surprise you about these cars? P 1, Q 1, R 1, A diaerent company makes Cars F and G. Compare their weights and fuel e@ciencies. Does anything surprise you about these cars?
3 Are you ready for more? After a board game competition, the tournament director collects 50 dice from the games played and rolls each one until he gets bored and tries a diaerent one. The scatter plot shows the number of times he rolled each die and the number of 6s that resulted during those rolls. Select a point in the scatter plot and give its approximate coordinates, then tell the story of that point in the context of the problem.
4 3.3: Coat Sales A clothing store keeps track of the average monthly temperature in degrees Celsius and coat sales in dollars. temperature (degrees Celsius) coat sales (dollars) -5 1, , , , , What does the point represent?
5 2. For the month with the lowest average temperature, estimate the total amount made from coat sales. Explain how you used the table to?nd this information. 3. For the month with the smallest coat sales, estimate the average monthly temperature. Explain how you used the scatter plot to?nd this information. 4. If there were a point at what would it represent? Use the scatter plot to estimate a value for. 5. What would a point at represent? Use the scatter plot to estimate a value for. 6. Would it make sense to use this trend to estimate the value of sales when the average monthly temperature is 60 degrees Celsius? Explain your reasoning.
6 Lesson 3 Summary Scatter plots show two measurements for each individual from a group. For example, this scatter plot shows the weight and height for each dog from a group of 25 dogs. We can see that the tallest dogs are 27 inches, and that one of those tallest dogs weighs about 75 pounds while the other weighs about 110 pounds. This shows us that dog weight is not a function of dog height because there would be two diaerent outputs for the same input. But we can see a general trend: Taller dogs tend to weigh more than shorter dogs. There are exceptions. For example, there is a dog that is 18 inches tall and weighs over 50 pounds, and there is another dog that is 21 inches tall but weighs less than 30 pounds. When we collect data by measuring attributes like height, weight, area, or volume, we call the data numerical data (or measurement data), and we say that height, weight, area, or volume is a numerical variable. Upcoming lessons will discuss how to identify and describe trends in data that has been collected. Unit 6: Associations in Data Lesson 3: What a Point in a Scatter Plot Means 6
7 Unit 6, Lesson 3: What a Point in a Scatter Plot Means Here are a table and scatter plot that show ratings and wins for quarterbacks who started 16 games this season. player quarterback rating number of wins A B C D 89 8 E F 97 7 G H I J K L M N O P Circle the point in the scatter plot that represents Player K s data. 2. Which quarterback s data are represented by the point farthest to the left? 3. Player R is not included in the table because he did not start 16 games this year. He did have a quarterback rating of 99.4 and his team won 8 games. On the scatter plot, plot a point that represents Player R s data. Q Unit 6: Associations in Data Lesson 3: What a Point in a Scatter Plot Means 1
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