Assignment 3

 

1.                  Plot the following sets of data.  Label each as positively correlated, negatively correlated, or nonlinear.  If it appears to be linear, use your calculator to fit a line to the data, and plot the line.

  x

y

1

2.063538

  2

3.841306

4

7.996699

5

10.12742

6

11.84464

8

16.15795

9

17.99222

11

21.84931

15

29.94029

16

31.98968

 

x

y

1

4.649775

2

4.479621

4

2.856704

5

2.125096

6

2.108221

8

0.533278

9

0.986992

11

-0.06667

15

-2.10242

16

-3.17803

 

 

 

 

 

 

 

 

 

 

 

 

 

x

y

1

5.775736

2

6.626259

4

13.27297

5

17.89685

6

23.47069

8

36.57771

9

45.07232

11

65.64304

15

117.794

16

133.2739

 

 

 

 

 

 

 

 

 

 

 

     

 

2.                  Solve the right triangles for the missing side

a.       leg1 = 2, leg2 = 3

b.      leg1 = 3, hypotenuse = 4

c.       leg1 = 1, leg2 = 1

d.      leg2 = 1, hypotenuse = 5

3.                  Find the distance between the following pairs of points.

a.       (-1,-1) and (2,-4)

b.      (1,6) and (5,2)

4.                  The distance from the point (x,y) to (3,1) is 4.  What equation must x and y satisfy?