Testing for a Linear Correlation . In Exercises 13-28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section l0-3 exercises.) 16. Altitude and Temperature 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 37 37 24 −5 −30 −41 −54
Testing for a Linear Correlation . In Exercises 13-28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section l0-3 exercises.) 16. Altitude and Temperature 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 37 37 24 −5 −30 −41 −54
Solution Summary: The author explains how to construct a scatterplot for variables altitude and outside air temperature using the MINITAB software.
Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section l0-3 exercises.)
16. Altitude and Temperature 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
37
37
24
−5
−30
−41
−54
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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