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PracticeChapter12LinearModels2020.docx
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Linear Models

The table below shows a relationship between keyboarding speed in words per minute and the amount of experience that person has. Use this table to answer the following:

Experience (weeks)

4

7

8

1

6

3

5

2

9

Speed (wpm)

33

42

49

20

44

30

36

22

52

1) Find the line of best fit,(linear regression). Y=_____________

2) Find the correlation coefficient (r) using your calculator.

r = ______

3) Describe the relationship between weeks experience and keyboarding speed.

4) Use your line of best fit, (regression), to predict the keyboarding speed with 10 weeks experience.

Find the value of the linear correlation coefficient ‘ r ‘ AND describe the correlation
1) The paired data below consist of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost
9
2
3
4
2
5
9
10
Products
85
52
55
68
67
86
83
73
2) The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):
Temp
62
76
50
51
71
46
51
44
79
Growth
36
39
50
13
33
33
17
6
16
3) Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.
Find the linear model for this data, where x is entering GPA and y is current GPA.
Use this model to predict a current GPA of a student whose entering GPA is 3.1
Entering GPA
Current GPA
3.5
3.6
3.8
3.7
3.6
3.9
3.6
3.6
3.5
3.9
3.9
3.8
4.0
3.7
3.9
3.9
3.5
3.8
3.7
4.0

The following table shows the projected increase in the percent of U.S. adults with diabetes. Assuming that x is the number of years after 2010 and y is the predicted percent of adults with diabetes, answer the following questions.

Year

Percent

2010

15.7

2015

18.9

2020

21.1

2025

24.2

2030

27.2

2035

29.0

1) Find the linear model by using the points for 2010 and 2035. ________________

2) According to your model, predict the percent of U.S. adults with diabetes in 2027. _____

3) Use the model to find what year the percent is predicted to be 31.1%. _____

4) Use your calculator to find the line of best fit, (regression), for the data in the table.

_______________

5) Find the correlations coefficient, r. ______

Describe the strength and what does this number tell you about the relationship between the year and percent of US adults with diabetes?