Presentation on theme: "Objective: I can write linear equations that model real world data."— Presentation transcript:
1 Objective: I can write linear equations that model real world data. 2-5Using Linear ModelsObjective:I can write linear equations that model real world data.
2 Scatter plots & Correlation A graph that relates two sets of data.Correlation:Strength of a relationshipStrong Negative CorrelationWeak Negative CorrelationWeakPositive CorrelationStrong PositiveCorrelationNo Correlation
3 Trend Line:A line that approximates the relationship between variables.How To:Plot dataDraw lineFollows direction of dataDivide points equallyPick two points on the line and find the equation for the lineLine of best fit:Trend line that most accurately models the data.Do Problem 2 from text along with problem 3 using the same data.
4 The Wave Number of People Time (seconds) 5 9 14 19 28 Calculator: Number of studentsTime (seconds)The WaveNumber of PeopleTime (seconds)59141928Equation: y =Calculator:Input data in to list 1 & 2: [STAT], [1: Edit][STAT]; [►]; [4: LinReg (ax + b)]; [enter]; [enter]Domain:1 person to 35Range:0 seconds to 20
5 Median Home Prices in California x = year since 1940y = Median PriceYearMedian Price ($)194047,100195063,100196076,900197089,9001980119,2001990207,4002000170,800Years since 1940p. 96:8, 11, 24-29Median PriceTrend Line: y=2000x+40000Linear Regression: [stat],[>] (stat, calc)Turn on diagnostic for correlation coefficientyear since 1940