Listed below are paired data consisting of waist size in centimeters and Body Mass Index BMI from a random sample of 20 adult men selected from the population. At the a = 0.05 significance level, test the claim that there is positive linear correlation between waist size and Body Mass Indices in adult men, by answering questions a. thru e. below. That is, test the claim: ρ>0 This uses a Null Hypothesis of ρ =0 and an Alternative Hypothesis of ρ>0 WAIST BMI 120.4 33.3 107.8 28.0 120.3 45.4 97.2 28.4 95.1 25.9 112.0 31.1 78.0 20.1 103.5 32.7 89.7 25.8 112.0 36.5 95.0 25.8 115.3 34.5 118.8 37.4 92.6 26.1 75.5 19.3 101.8 29.9 92.5 27.4 100.8 31.4 82.8 21.0 92.9 28.5 a. What is the linear correlation coefficient r = ___________________________ b. What is the P-Value =_______________________________ c. What is your conclusion concerning the claim? d. If you concluded that there is linear correlation between waist size and Body Mass Index, then what is the correct regression equation for the regression line that best fits the data? That is write out the equation of the linear regression line With the correct values for a and b in the equation e. If you concluded that there is positive linear correlation between waist size and Body Mass Index, use the regression equation to estimate the Body Mass Index for a male with a waist size of 100 cm?
Listed below are paired data consisting of waist size in centimeters and Body Mass Index BMI from a random sample of 20 adult men selected from the population. At the a = 0.05 significance level, test the claim that there is
That is, test the claim: ρ>0
This uses a Null Hypothesis of ρ =0 and an
Alternative Hypothesis of ρ>0
|
WAIST |
BMI |
|
|
120.4 |
33.3 |
|
|
107.8 |
28.0 |
|
|
120.3 |
45.4 |
|
|
97.2 |
28.4 |
|
|
95.1 |
25.9 |
|
|
112.0 |
31.1 |
|
|
78.0 |
20.1 |
|
|
103.5 |
32.7 |
|
|
89.7 |
25.8 |
|
|
112.0 |
36.5 |
|
|
95.0 |
25.8 |
|
|
115.3 |
34.5 |
|
|
118.8 |
37.4 |
|
|
92.6 |
26.1 |
|
|
75.5 |
19.3 |
|
|
101.8 |
29.9 |
|
|
92.5 |
27.4 |
|
|
100.8 |
31.4 |
|
|
82.8 |
21.0 |
|
|
92.9 |
28.5 |
a.
What is the linear
b.
What is the P-Value =_______________________________
c.
What is your conclusion concerning the claim?
d.
If you concluded that there is linear correlation between waist size and Body Mass Index, then what is the correct regression equation for the regression line that best fits the data? That is write out the equation of the linear regression line
With the correct values for a and b in the equation
e.
If you concluded that there is positive linear correlation between waist size and Body Mass Index, use the regression equation to estimate the Body Mass Index for a male with a waist size of 100 cm?
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