The altitude in thousands of feet and speed of a plane in fe
The altitude (in thousands of feet) and speed of a plane (in feet per second) for various altitudes is shown below compLetes part a through Display the date in scatter plot. Choose the correct graph below Calculate the correlation coefficient r r = (Round to three decimal places as needed) Make a conclusion about the type of correlation The correlation is a linear correlation
Solution
1) Option A is the scatter plot for the data given.
2) Correlation coefficient = -0.389 as shown below:
?X=140 , ?Y=8229.8 , ?X?Y=142168 , ?X2=3500 , ?Y2=8487822.44
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c) The correlation is a negative linear correlation.
| X | Y | X?Y | X?X | Y?Y |
| 0 | 1115.2 | 0 | 0 | 1243671.04 |
| 5 | 1037.7 | 5188.5 | 25 | 1076821.29 |
| 10 | 1004.6 | 10046 | 100 | 1009221.16 |
| 15 | 995.4 | 14931 | 225 | 990821.16 |
| 20 | 1018.3 | 20366 | 400 | 1036934.89 |
| 25 | 987.5 | 24687.5 | 625 | 975156.25 |
| 30 | 1107.9 | 33237 | 900 | 1227442.41 |
| 35 | 963.2 | 33712 | 1225 | 927754.24 |
