example 2 Health Service Employment

Chapter 2.2

The table gives the number of full- and part-time employees in offices and clinics ofdentists for selected years between 1990 and 2005.

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

b. Graph the equation on the same graph as the scatter plot and determine if the line appears to be a good fit.

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

16 510y x

Year 1990 1995 2000 2001 2002 2003 2004 2005

Employees (in thousands)

513 592 688 705 725 744 760 771

2009 PBLPathways

2009 PBLPathways

The table gives the number of full- and part-time employees in offices and clinics ofdentists for selected years between 1990 and 2005.

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

b. Graph the equation on the same graph as the scatter plot and determine if the line appears to be a good fit.

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

Year 1990 1995 2000 2001 2002 2003 2004 2005

Employees (in thousands)

513 592 688 705 725 744 760 771

16 510y x

2009 PBLPathways

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

Year 1990 1995 2000 2001 2002 2003 2004 2005

Employees (in thousands)

513 592 688 705 725 744 760 771

2009 PBLPathways

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

x 0 5 10 11 12 13 14 15

y 513 592 688 705 725 744 760 771

2009 PBLPathways

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

x 0 5 10 11 12 13 14 15

y 513 592 688 705 725 744 760 771

2009 PBLPathways

a. Draw a scatter plot of the data with the x-value of each point representing the number of years after 1990 and the y-value representing the number of dental employees (in thousands) corresponding to that year.

x 0 5 10 11 12 13 14 15

y 513 592 688 705 725 744 760 771

2009 PBLPathways

b. Graph the equation on the same graph as the scatter plot and determine if the line appears to be a good fit.

16 510y x

2009 PBLPathways

b. Graph the equation on the same graph as the scatter plot and determine if the line appears to be a good fit.

16 510y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

(3.096, 563.934)

(12.479, 731.218)

731.218 563.93417.83

12.479 3.096m

1 1

563.934 17.83 3.096

563.934 17.83 55.202

17.83 55.202 563.934

17.83 508.732

y y m x x

y x

y x

y x

y x

2009 PBLPathways

c. Draw a “visual fit” line that fits the data well (a piece of spaghetti or pencil lead over your calculator screen works well) and select two points on that line. Use these two points to write an equation of the “visual fit” line. Determine whether this line or the one from part (b) is the better fit.

16 510y x

17.83 508.732y x