1. Fitting a Line to Data
A large company is expanding its workforce and needs to hire some administrative assistants. The company leadership wants to know the relationship between the amount of experience their current administrative assistants had when they were hired and their starting salary with the company.
Make a prediction on what you think that relationship is before we find out.

2. Experience(in months)
Fitting a Line to Data
The data for 10 randomly selected administrative assistants are shown below.
Experience(in months)
Starting Salary(in $1000) 4 25 13 34 3 22 21 10 33 7 27 38 15 35 5 26 20 36

3. Fitting a Line to Data
Using the data in the table, construct a scatter plot. Label all axes and include the correct scales on the independent and dependent variables.
(1) Once finished, does the scatter plot confirm your initial prediction. Explain your answer.
(2)Also, if you were hiring a person with 17 months of experience, what would their starting salary be? Explain.

4. ANSWERS
Using the data in the table, construct a scatter plot. Label all axes and include the correct scales on the independent and dependent variables.
(1) Once finished, does the scatter plot confirm your initial prediction. Explain your answer. POSTIVE RELATIONSHIP
(2)Also, if you were hiring a person with 17 months of experience, what would their starting salary be? Explain. $36,000

5. Answer the following questions:
Fitting a Line to Data
Answer the following questions:
(3) On your scatter plot, draw a LINE OF BEST FIT that best represents the relationship between your variables.
(4) Use the line of best fit to predict the starting salary for an administrative assistant with 1 year of experience.
(5) Use the line of best fit to write an equation in terms of y = mx + b to predict any starting experience and salary.

6. Answers
(3) On your scatter plot, draw a LINE OF BEST FIT that best represents the relationship between your variables.
SEE BOARD/PAPERS
(4) Use the line of best fit to predict the starting salary for an administrative assistant with 1 year of experience.
$33,000
(5) Use the line of best fit to write an equation in terms of y = mx + b to predict any starting experience and salary. y = 0.80x + 22

7. INDIVIDUAL PRACTICE
The “Blue Book” is used by car dealers across America to determine the trade-in values of vehicles. One such factor that must be considered outside the “Blue Book” is the odometer reading. Why?
The following table contains odometer readings and trade-in values for the five year cars of the same make and model. Use them to construct a scatter plot, draw a line of best fit, write an equation in terms of y = mx +b, and explain what all this means to you.

8. INDIVIDUAL PRACTICE
Odometer reading
Trade-in Value($)
58,000
3800
93,100
2400
72,200
3100
52,000
4000
67,700
3200
88,100
2700
62,500
3900
95,100
2500
83,100
2600
43,400
4300
39,000
5500