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Solved: Testing for a Linear Correlation. In Exercises,
Chapter 10, Problem 16BSC(choose chapter or problem)
Problem 16 BSC
Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta. Is there sufficient evidence to conclude that there is a linear correlation between altitude and outside air temperature? Do the results change if the altitudes are reported in meters and the temperatures are converted to the Celsius scale?
Altitude 3 10 14 22 28 31 33
Temperature 57 37 24 −5 −30 −41 −54
Questions & Answers
QUESTION:
Problem 16 BSC
Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta. Is there sufficient evidence to conclude that there is a linear correlation between altitude and outside air temperature? Do the results change if the altitudes are reported in meters and the temperatures are converted to the Celsius scale?
Altitude 3 10 14 22 28 31 33
Temperature 57 37 24 −5 −30 −41 −54
ANSWER:Problem 16 BSC
Answer:
Step1 of 4:
We have Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta.
Altitude |
3 |
10 |
14 |
22 |
28 |
31 |
33 |
Temperature |
57 |
37 |
24 |
−5 |
−30 |
−41 |
−54 |
Step2 of 4:
We need to check Is there sufficient evidence to conclude that there is a linear correlation between altitude and outside air temperature? Do the results change if the altitudes are reported in meters and the temperatures are converted to the Celsius scale?
Step3 of 4:
Consider,
Altitude(x) |
Temperature(y) |
xy |