Name Date LESSON Class Practice B 4-7 Scatter Plots 1. Use the given data to make a scatter plot. Tall Buildings in U.S. Cities Building City Stories Height (meters) Sears Tower Chicago 110 442 Empire State Building New York 102 381 Bank of America Plaza Atlanta 55 312 Library Tower Los Angeles 75 310 Key Tower Cleveland 57 290 Columbia Seafirst Center Seattle 76 287 NationsBank Plaza Dallas 72 281 NationsBank Corporate Center Charlotte 60 265 Tall Buildings in U.S. Cities Do the data sets have a positive, a negative, or no correlation? 2. The temperature outside and the number of ice cream cones sold 3. The amount of time spent in the bathtub and the temperature of the bath water 4. Use the data to predict the percent of Americans owning a home in 1955. Percent of Americans Owning Homes Year Percent 1950 1960 1970 1980 1990 55.0% 61.9% 62.9% 64.4% 64.2% In 1955, about Copyright © by Holt, Rinehart and Winston. All rights reserved. % of Americans owned a home. 66 Holt Pre-Algebra Holt Middle School Math Practice B 4-7 Scatter Plots Practice A 4-7 Scatter Plots LESSON LESSON 1. Use the given data to make a scatter plot. 1. Use the given data to make a scatter plot. Calories and Fat Per Portion of Meat & Fish Tall Buildings in U.S. Cities Fat (grams) Calories Fish sticks (breaded) 3 50 Sears Tower Chicago 110 442 Shrimp (fried) 9 190 Empire State Building New York 102 381 Building City Stories Height (meters) Tuna (canned in oil) 7 170 Bank of America Plaza Atlanta 55 312 Ground beef (broiled) 10 185 Library Tower Los Angeles 75 310 Roast beef (relatively lean) 7 165 Key Tower Cleveland 57 290 Ham (light cure, lean and fat) 19 245 Columbia Seafirst Center Seattle 76 287 350 300 250 200 150 100 50 0 NationsBank Plaza Dallas 72 281 NationsBank Corporate Center Charlotte 60 265 Tall Buildings in U.S. Cities 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 Fat (grams) 60 70 80 90 100 Stories Do the data sets have a positive, a negative, or no correlation? 2. The size of the bag of popcorn and the price of the popcorn 3. The increase in temperature and number of snowboards sold. positive correlation 2. The temperature outside and the number of ice cream cones sold 4. Use the data to predict how much money Tyler would get paid 1 for babysitting 7ᎏ2ᎏ hours. positive correlation 1 2 3 4 5 6 7 8 $4 $8 $12 $16 $20 $24 $28 $32 Tyler would get paid $ 30 1 Percent 1950 1960 1970 1980 1990 55.0% 61.9% 62.9% 64.4% 64.2% In 1955, about Pre-Algebra Holt Holt Middle School Math 65 HoltHolt Middle School Math Pre-Algebra Two sets of data can be graphed as points in a scatter plot. If there is a relationship between the data sets, a line of best fit can be drawn to follow the pattern. Largest Lakes of North America Area (square miles) Length (miles) Maximum Depth (ft) 31,700 350 1330 Huron 23,000 206 750 Michigan 22,300 307 923 Great Slave 2015 11,031 298 Erie 9910 241 210 Ontario 7340 193 802 Athabasca 3064 208 407 Reindeer 2568 143 720 Length (hundreds of miles) 66 LESSON 1. Use the given data to make a scatter plot of length and maximum depth of the largest lakes of North America. Negative correlation: values of one set increase while values of the other set decrease. Positive correlation: both sets of data increase or decrease together. 4 1. 3 2 Time (hours) 1 2 2.5 6 Distance (miles) 50 150 175 270 The values for time are: increasing distance are: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Maximum Depth (hundreds of feet) So, there is a 2. Do the data sets have a positive, a negative, or no correlation? 2. The amount of time spent exercising and the number of calories burned 3. The discount percent of an item and the total cost of the item positive correlation increasing positive negative correlation 6 4 2 1 Number of Days 1 2 5 7 the number of workers are: negative correlation. Median Four-Person Family Income Income 1975 1980 1985 1990 1995 1999 $15,848 $24,332 $32,777 $41,151 $49,687 $59,981 In 1982, the median four-person family income was about Copyright © by Holt, Rinehart and Winston. All rights reserved. 67 Copyright © by Holt, Rinehart and Winston. All rights reserved. $28,000 200 100 2 4 6 Time (hours) 8 2 4 6 Workers 8 8 6 increasing decreasing So, there is a 300 correlation. Number of Workers The values for the number of days are: 6. Use the data to estimate the median four-person family income in 1982. Year No correlation: points neither increase nor decrease together. Complete to determine if the two data sets show a correlation. Make a scatter plot. Include a line of best fit if there is a correlation. Largest Lakes of North America 1 % of Americans owned a home. Reteach 4-7 Scatter Plots Practice C 4-7 Scatter Plots Superior 58.5 Copyright © by Holt, Rinehart and Winston. All rights reserved. LESSON Lake negative correlation Percent of Americans Owning Homes Year for babysitting 7ᎏ2ᎏ hours. Copyright © by Holt, Rinehart and Winston. All rights reserved. 3. The amount of time spent in the bathtub and the temperature of the bath water 4. Use the data to predict the percent of Americans owning a home in 1955. Amount Tyler Earns Babysitting Amount 120 Do the data sets have a positive, a negative, or no correlation? negative correlation Hours 110 Distance (miles) 2 500 400 300 200 100 0 Days 0 Height (in meters) Calories Calories and Fat Per Portion of Meat and Fish 4 2 . Holt Middle School Math Holt Pre-Algebra Copyright © by Holt, Rinehart and Winston. All rights reserved. 93 68 HoltHolt Middle School Math Pre-Algebra Holt Pre-Algebra Holt Middle School Math
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