The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Complete parts (a) through (d) below. Altitude, x Speed of sound, y 0 1117.3 5 1096.7 10 1076.3 15 1057.7 20 1037.8 25 1015.1 30 995.3 35 970.6 40 967.9 45 967.9 50 967.9 (b) Calculate the sample correlation coefficient r. (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data
The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Complete parts (a) through (d) below. Altitude, x Speed of sound, y 0 1117.3 5 1096.7 10 1076.3 15 1057.7 20 1037.8 25 1015.1 30 995.3 35 970.6 40 967.9 45 967.9 50 967.9 (b) Calculate the sample correlation coefficient r. (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 6AR
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Question
The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Complete parts (a) through (d) below.
Altitude, x Speed of sound, y
0 1117.3
5 1096.7
10 1076.3
15 1057.7
20 1037.8
25 1015.1
30 995.3
35 970.6
40 967.9
45 967.9
50 967.9
(b) Calculate the sample
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.
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