1. MAT 150 Algebra – Class #6 Topics: Find exact Linear Models for data
Determine if a set of data can be modeled exactly or approximately
Scatter Plots
Linear Model = good fit?
Solve Problems using Linear Models

2. Fitting Lines to Data Ex 1: Linear Correlation
Which graph(s) has
Positive 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 table
How do you know something is linear?
Use the rounded function y = f(x) that was found above to evaluate f(8) and f(11). X 1 2 3 5 7 9 12 Y 6

4. Earnings & Gender Education Attainment
Average Annual Earnings of Males ($ in thousands)
Average Annual Earnings of Females
($ in thousands)
Less than ninth grade
21.659
17.659
Some high school
26.277
19.162
High School Graduate
35.725
26.029
Some College
41.875
30.816
Associate’s degree
44.404
33.481
Bachelor’s degree
57.220
41.681
Master’s degree
71.530
51.316
Doctorate degree
82.401
68.875
Professional degree
75.036

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. Population
Use the table to estimate the population in and 2014.
Be very careful about your “year 0”
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

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.