Presentation on theme: "MAT 150 Algebra – Class #6 Topics: Find exact Linear Models for data"— Presentation transcript:
1 MAT 150 Algebra – Class #6 Topics: Find exact Linear Models for data Determine if a set of data can be modeled exactly or approximatelyScatter PlotsLinear Model = good fit?Solve Problems using Linear Models
2 Fitting Lines to Data Ex 1: Linear Correlation Which graph(s) hasPositive Linear Correlation?Constant Correlation?Negative Linear Correlation?No Correlation?Correlation that is not Linear?
3 Construct a scatter plot of the data in the table Determine if the points plotted fit exactly or only approximately by a linear function.How do you know?Create a linear model for the data in the tableHow do you know something is linear?Use the rounded function y = f(x) that was found above to evaluate f(8) and f(11).X12357912Y6
4 Earnings & Gender Education Attainment Average Annual Earnings of Males ($ in thousands)Average Annual Earnings of Females($ in thousands)Less than ninth grade21.65917.659Some high school26.27719.162High School Graduate35.72526.029Some College41.87530.816Associate’s degree44.40433.481Bachelor’s degree57.22041.681Master’s degree71.53051.316Doctorate degree82.40168.875Professional degree75.036
5 Let x represent the earnings for the males, let y represent earnings for females, and create a scatterplot on your graphing calculator of the data.Decide if there is a linear correlation. If so, create a linear model that expresses the female earnings (y) as a function of male (x) annual earnings.Graph the linear function and the data points on the graphing calculator.
6 According to this model, what amount would a female make if the average male with the same education made $90, 568?According to this model, what amount would a male make if the average female with the same education made $64,910?Is there another way you could have answered the previous two questions?
7 Population (millions) U.S. PopulationUse the table to estimate the population in and 2014.Be very careful about your “year 0”YearPopulation (millions)1960199519651998197020001975200319802025198520501990
8 Assignment Pg. 121-123 #1- 4all #15-18 all #38 #45 NOTE: First Exam will be September 6. Covers both Chapters 1 and 2.