Question

In: Statistics and Probability

Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded during Delta...

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

Solutions

Expert Solution

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.



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