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Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

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## Circle all linear graphs and equations. Put a X through all non-linear graphs and equations.

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**Circle all linear graphs and equations. Put a X through all**non-linear graphs and equations.**Scatter plot: a graph of points on a coordinate grid with**each axis representing one of the two variables. Test score Hours watching TV**Let’s collect some BIVARIATE data!**Should I do my homework?**100**90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 6 7 8 9 10 Homework completed**Yes! Doing more homework means getting a higher test grade!**I will do my homework!**Create a scatter plot to compare a person’s height to arm**span. 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 Arm Span (m) 0.4 0.8 1.2 1.6 2.0 Height (m)**Given the data tables below, determine the best scale for**the x-axis and y-axis, then construct the scatter plots.**100**90 80 70 60 50 40 30 20 10 Test score These points form a tight cluster in an upward pattern. 1 2 3 4 5 6 7 8 9 10 Homework completed**100**90 80 70 60 50 40 30 20 10 So, homework and tests scores ARE related!! Test score 1 2 3 4 5 6 7 8 9 10 Homework completed**100**90 80 70 60 50 40 30 20 10 Test score This point is an outlier. 1 2 3 4 5 6 7 8 9 10 Homework completed**Possible reasons for this outlier….**I get nervous when I test. I can’t remember how many assignments I did. I don’t really understand.**Yes! Doing more homework means getting a higher test grade**MOST of the time! The clusters tell me that I should do my homework!**Circle and describe the pattern of the cluster of points in**this graph. Box any outliers if found. 100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 Hours watching TV**100**90 80 70 60 50 40 30 20 10 Test score X Y Positive association 1 2 3 4 5 6 7 8 9 10 Homework completed**100**90 80 70 60 50 40 30 20 10 X Y Test score Negative association 1 2 3 4 5 Hours watching TV**10**9 8 7 6 5 4 3 2 1 # of letters in last name No association 1 2 3 4 5 6 7 8 9 10 # of letters in first name**Determine the association in each graph.**$$ on music card # mp3 downloads Test scores Money earned # letters in name Hours worked**Would you expect a positive, a negative, or no association**between the two variables? Explain why. • A person’s height and the number of letters in that person’s name. • The time spent exercising and the amount of calories burned. • The number of pages printed and the amount of ink left in the printer.**Which graph shows a positive association?**Height Calories Burned $$ in bank # of withdrawals # letters in name Time exercising**What would be the association between shoe size and number**of miles traveled to school each day?**100**90 80 70 60 50 40 30 20 10 Perimeter of a square Linear 1 2 3 4 5 6 7 8 9 10 Side length of a square**100**90 80 70 60 50 40 30 20 10 Area of a square Non-Linear 1 2 3 4 5 6 7 8 9 10 Side length of a square**10**9 8 7 6 5 4 3 2 1 Height of ball (feet) Non-Linear 1 2 3 4 5 Time since ball released (seconds)**Linear or Non-Linear?**Non Linear Non Linear Linear Linear**Which scenario would you expect to be linear?**Temperature of a cup of soda Height of surfer on a wave Space on mp3 player # mp3 downloads Time Time**Which scenario would you expect to be non-linear?**Height Of a plant Height of car on a hilly road Months in school # of pencils Time Time**100**90 80 70 60 50 40 30 20 10 When x is 7, y is 65. 1 2 3 4 5 6 7 8 9 10**100**90 80 70 60 50 40 30 20 10 Line of Best Fit Or Linear Model Test score 1 2 3 4 5 6 7 8 9 10 Homework completed**100**90 80 70 60 50 40 30 20 10 Line of Best Fit Or Linear Model Test score 1 2 3 4 5 6 7 8 9 10 Homework completed**When 2.5 hours of TV are watched, a grade of 72 is expected.**100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 Hours watching TV**Find the line of best fit.**Predict the response time if a person studies for of a minute. 100 90 80 70 60 50 40 30 20 10 Response Speed (sec) 1 2 3 4 5 Study Time (min)**Which graph shows the line of best fit?**$$ on music card $$ on music card $$ on music card # mp3 downloads # mp3 downloads # mp3 downloads**Use the line of best fit to predict amount of food left on a**students plate after a 30 minute lunch. 25 20 15 10 5 Food Remaining (ounces) 4 8 12 16 20 Minutes at Lunch**The slope of the line is**100 90 80 70 60 50 40 30 20 10 . run = 5 rise = 40 1 2 3 4 5 6 7 8 9 10**100**90 80 70 60 50 40 30 20 10 Rate of Change = 10 We can expect the test score to increase by 10 points for every homework assignment completed. Test score run = 5 rise = 50 1 2 3 4 5 6 7 8 9 10 Homework completed**Rate of change**is We can expect test scores to decrease by 6 with each additional hour of watching TV 100 90 80 70 60 50 40 30 20 10 run = 1.5 rise = -10 Test score 1 2 3 4 5 Hours watching TV**I will set the DVR and watch it later. Time to study!**Watching TV has a negative effect on test scores!**Find the rate of change using the line of best fit on the**graph. 100 90 80 70 60 50 40 30 20 10 Response Speed (sec) 1 2 3 4 5 Study Time (min)**100**90 80 70 60 50 40 30 20 10 Find the rate of change using line of best fit on the graph. Perimeter of a square 1 2 3 4 5 6 7 8 9 10 Side length of a square**Use the graph of the line of best fit to find the rate of**change. What does the rate of change mean for this graph? 25 20 15 10 5 Food Remaining (ounces) 4 8 12 16 20 Minutes at Lunch**The y-intercept is the point where the line crosses the**y-axis. 100 90 80 70 60 50 40 30 20 10 The y-intercept is (0,30). 1 2 3 4 5 6 7 8 9 10 (0,30)**100**90 80 70 60 50 40 30 20 10 Y-intercept (0,0) We can expect the test score to be 0 if no homework assignments are completed. Test score 1 2 3 4 5 6 7 8 9 10 Homework completed (0,0)**y-intercept**(0,95) We can expect a test score of 95 when we don’t spend any time watching TV (0,95) 100 90 80 70 60 50 40 30 20 10 Test score 1 2 3 4 5 Hours watching TV**I better get started on my homework!**I should do my homework and limit my television watching!**(x,y)**y-intercept slope**100**90 80 70 60 50 40 30 20 10 1 • Find the rate of change • (slope) of the line (8,90) Test score 2 • Substitute the m, x, & y • into the y=mx+b 1 2 3 4 5 6 7 8 9 10 (2,30) Homework completed 3 Solve for b.**100**90 80 70 60 50 40 30 20 10 1 (8,90) • x Test score 2 1 2 3 4 5 6 7 8 9 10 (2,30) Homework completed 3