INTERPRETING SCATTER PLIOTS WITH REGRESSION LINE WORKSHEET

Problem 1 :

A fifth grade class conducted a 5 minute experiment that involved heating time and water temperature. The results of the experiment are represented in the graph below.

analyzing-scatter-plotq1

What prediction can be made based on the information gathered ?

a) The water temperature remains the same as the heating time continues.

b)  The water temperature decreases as the heating time continues.

c)  A pattern cannot be determined between these measurements

d)  The water temperature increases as the heating time continues.

Solution

Problem 2 :

A group of friends recorded the time it took to ride their bikes around the park. The scatter plot below shows their results with the line of best fit

analyzing-scatter-plotq2.png

Using the line of best fit, which is the closest to be the number of minutes would take to complete 9 laps?

a)  4    b)  5   c)  6   d)  7

Solution

Problem 3 :

A carpenter recorded the amount of money he earned for different jobs and the amount of time he spent in each job. The data are shown in the scatter plot below. Based on the data, which best represents the amount of money the carpenter would earn from a job that took 5 days to complete ?

analyzing-scatter-plotq3.png

a)  2500    b) 500      c) 1250     d)  200

Solution

Problem 4 :

use the table below, which shows the median salary for women who had completed a college degree for the years 19891998.

Year

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

Salary in thousands of dollars

42

43

45

46

48

49

50

51

53

57

analyzing-scatter-plotq4.png

a) Does there appear to be a relationship between year and salary?

b) Based on the graph, predict what the median salary was for the year 2000

Solution

Problem 5 :

The scatter plot compares the weights and heights of the players on a high school football team

analyzing-scatter-plotq4b.png

a)  What type of relationship exists, if any?

b) Based on the scatter plot, predict the weight of a 5'50'' player who decided to join the team. 

Solution

Problem 6 :

Scientists have determined that there may be a relationship between temperature and the number of chirps produced by crickets. The table gives the temperature and the number of chirps per minute for several cricket samples.

analyzing-scatter-plotq5.png

a) Make a scatter plot of the data.

b) Does there appear to be a relationship between temperature and chirps? Explain. 

c)  Suppose the outside temperature is 65 degree. About how many chirps per minute would you expect from a cricket?

d) Suppose the outside temperature is 55 degree. About how many chirps per minute would you expect from a cricket?

Solution

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