Objective: I can write linear equations that model real world data.

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Presentation transcript:

Objective: I can write linear equations that model real world data. 2-5 Using Linear Models Objective: I can write linear equations that model real world data.

Scatter plots & Correlation A graph that relates two sets of data. Correlation: Strength of a relationship Strong Negative Correlation Weak Negative Correlation Weak Positive Correlation Strong Positive Correlation No Correlation

Trend Line: A line that approximates the relationship between variables. How To: Plot data Draw line Follows direction of data Divide points equally Pick two points on the line and find the equation for the line Line of best fit: Trend line that most accurately models the data. Do Problem 2 from text along with problem 3 using the same data.

The Wave Number of People Time (seconds) 5 9 14 19 28 Calculator: Number of students Time (seconds) The Wave Number of People Time (seconds) 5 9 14 19 28 Equation: y = Calculator: Input data in to list 1 & 2: [STAT], [1: Edit] [STAT]; [►]; [4: LinReg (ax + b)]; [enter]; [enter] Domain: 1 person to 35 Range: 0 seconds to 20

Median Home Prices in California x = year since 1940 y = Median Price Year Median Price ($) 1940 47,100 1950 63,100 1960 76,900 1970 89,900 1980 119,200 1990 207,400 2000 170,800 Years since 1940 p. 96:8, 11, 24-29 Median Price Trend Line: y=2000x+40000 Linear Regression: [stat],[>] (stat, calc) Turn on diagnostic for correlation coefficient year since 1940

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