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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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.

(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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