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# Week2 - Week2 Click to edit Master subtitle style...

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Click to edit Master subtitle style Week 2 Organizing Ordered Pairs of Data

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Correlation Correlation and regression  involve the study of  ordered pairs of data This data, expressed as  (x,y) is usually first  presented in table form Store Customers Sales 1 907 11.20 2 926 11.05 3 506 6.84 4 741 9.21 5 789 9.42 6 889 10.08 7 874 9.45 8 510 6.73 9 529 7.24 10 420 6.12 11 679 7.63 12 872 9.43 13 924 9.46 14 607 7.64 15 452 6.92 16 729 8.95 17 794 9.33 18 844 10.23 19 1010 11.77 20 621 7.41
Correlation What type of relationship exists between the two variables and is the correlation significant? x y Cigarettes smoked per day Score on SAT Height Hours of Training Explanatory (Independent) Variable Response (Dependent) Variable A relationship between two variables. Number of Accidents Shoe Size Height Lung Capacity Grade Point Average IQ

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Scatter Plots Graph the (x,y) pairs as a  single coordinate point.   It is  the point where x and y  intersect on the graph.  There  is only 1 point for every  ordered pair. Visually inspect the graph to  determine if there appears to  be a linear relationship;  although other relationships  Cereal Analysis (Sugar to Calories) 0 10 20 30 40 50 60 0 5 10 15 20 25 30 Sugar (grams) Calories (per serving) y = 0.6987x + 20791 R 2 = 0.2219 r = 0.55226
300 350 400 450 500 550 600 650 700 750 800 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 4.00 Math SAT Positive Correlation as x increases y increases x = SAT score y = GPA GPA Scatter Plots and Types of Correlation

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0 2 4 6 8 10 12 14 16 18 20 0 10 20 30 40 50 60 Hours of Training Accidents Accidents Negative Correlation as x increases, y decreases x = hours of training y = number of accidents Scatter Plots and Types of Correlation
80 76 72 68 64 60 160 150 140 130 120 110 100 90 80 Height IQ IQ No linear correlation X and y have no relationship x = height y = IQ Scatter Plots and Types of Correlation

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Week2 - Week2 Click to edit Master subtitle style...

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