For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology.

The altitudes (in thousands of feet) and speeds of sound (in feet per second) at these altitudes are shown in the data set below.

Altitude,_x Speed_of_sound,_y

0 1115.2

5 1097.5

10 1076.2

15 1055.7

20 1037.9

25 1014.4

30 994.6

35 970.5

40 966.1

45 966.1

50 966.1

a) Display the data in a scatter plot

b) Calculate the sample correlation coefficient r.

c) Make a conclusion about the type of correlation.