In: Statistics and Probability
Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded during Delta Flight 1053 from New Orleans to Atlanta. Construct a scatterplot, and find the value of the linear correlation coefficient Also find the -value or the critical values of from Table A-6 (page 732) using Is there sufficient evidence to support a claim that there is a linear correlation between altitude and outside air temperature? Altitude 3 10 14 22 28 31 33 Temp 57 37 24 -5 -30 -41 -54
Solution:-
Null Hypothesis HO: The population correlation coefficient is not significantly different from 0.( )
Alternate Hypothesis HA: The population correlation coefficient is significantly different from 0.( )
Significance level = 0.05
Degree of freedoms:-
D.F = n - 2
D.F = 5
Test statistics:-
t = - 0.211
tcritical = + 2.571
p value for test = 0.841
Since p value (0.841) is greater than the significance value so we have to accept the null hypothesis.
From this we can conclude that there is not a significant linear relationship(correlation) between two variables.