Altitude, x    Speed of sound, y 0                       1117.9 5                        1096.9 10                        1077.1 15                           1057.4 20                         1036.8 25                           1015.1 30                             995.6 35                             968.3 40                              966.7 45                               966.7 50                                966.7 ​(a) Display the data in a scatter plot. Choose the correct graph below. ​(b) Calculate the sample correlation coefficient r. (c) Interpret the correlation. Choose the correct answer below. ​(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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Altitude, x    Speed of sound, y
0                       1117.9
5                        1096.9
10                        1077.1
15                           1057.4
20                         1036.8
25                           1015.1
30                             995.6
35                             968.3
40                              966.7
45                               966.7
50                                966.7

​(a) Display the data in a scatter plot. Choose the correct graph below.

​(b) Calculate the sample correlation coefficient r.

(c) Interpret the correlation. Choose the correct answer below.

​(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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