Scatter Plot and Trend Lines

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Presentation transcript:

Scatter Plot and Trend Lines

Warm Ups Simplify each expression. Answers will go on whiteboard. #1 #2 #3 #4

Warm Ups Simplify each expression. Answers will go on whiteboard. #1 #2 49 36 #3 #4 122

Linear Association: Data that show a positive or negative association and lie basically along a straight line exhibit a linear association. Non-Linear Association: Data that show a positive or negative association but DO NOT lie along a line exhibit a nonlinear association. When describing a scatter plot, we can refer to whether it is POSITIVE, NEGATIVE or NO ASSOCIATION. If it has a positive or negative association, we can further say whether it is LINEAR or NON-LINEAR.

Positive Association Linear Reason: Older students would be taller and read at a higher level.

Susan asked 20 people if they would buy a new produce she developed at each of several prices. The scatter plot shows how many of the 20 said ‘yes’ at a given price. Describe the association between the price and the number of buyers. Negative Association Non-linear (the data points to not lie along a line) As price increases, the number of buyers decrease.

FINDING THE EQUATION OF A TREND LINE The scatter plot and trend line show the relationship between the total number of chapters and the total number of pages for several books. Write an equation for the trend line. STEP 1: Find the slope using (5,50) and (17,70) STEP 2: Find the y-intercept. STEP 3: Write your equation.

FINDING THE EQUATION OF A TREND LINE The scatter plot and trend line show the relationship between the total number of chapters and the total number of pages for several books. Write an equation for the trend line. Positive; linear. There is an average of 10 pages per chapter. The number of pages in a book with 0 chapters.

Interpolation: When you use a trend line or equation to predict a value between data points that YOU ALREADY KNOW. Extrapolation: When you make a prediction that is OUTSIDE data you know. Extrapolation 10x 10(26) 260 260

140 pages; interpolation Interpolation: The predicted value fits between KNOWN values where the trend is known. There is no guarantee that a trend will continue beyond the known data points.

Approx: y=9/10x

HOMEWORK: None this week. All work will be completed and due in class. QUIZ: Friday April 24. Scatter Plots and Trend Lines.