between WAIST SIZE AND % BODY FAT
- Do The Body Fat Data As Given Indicate Linear Association Between Waist Size And Body Fat Choose The Right Answer A F 1 (13.47 KiB) Viewed 23 times
a) Fit a model predicting the % Body Fat from the waist.
Predicted ["", ""] [
Select ]%BodyFat/Waist = ["",
""] [ Select
]2.2215-62.5573 + ["", ""]
[ Select ]-62.55732.2215 × ["",
""] [ Select ]%BodyFatWaist
b) Test an appropriate hypothesis using 10% level of
significance and state your
1. Hypotheses
H0: ["", "", "", ""]
[ Select ]β1 ≠ 0b1 = 0b1 ≠ 0β1 = 0 (There is no
linear relationship between waist size and percent body fat.)
HA: ["", "", "", ""]
[ Select ]b1 ≠ 0β1 ≠ 0b1 = 0β1 = 0 (There
is a linear relationship between waist size and percent body
fat.)
2. Test statistic:
t = [ Select ]
["-6.159", "8.1437"]
P-value = [ Select ]
["8.15722E-06", "1.89998E-07"]
R2 = [
Select ] ["0.7865", "0.8869"]
3. Decision rule:
4. Conclusion:
Based on the sample and at 10% level of significance, there
is [ Select ]
["strong evidence", "no evidence"] of
a linear relationship between waist size and percent body fat.
People with larger waists tend to have
[ Select ] ["lower",
"higher"] percentage of body fat.
c) Find a 90% confidence interval for the slope of the
regression line.
90% CI = ( [ Select ]
["1.7485", "1.6484"] ,
[ Select ]
["2.6946", "2.7946"] )
Waist(inches) Weight (Pounds) Body Fat (%) 32 175 6 36 181 21 38 200 15 33 159 6 39 196 22 40 192 31 41 205 32 35 173 21 38 187 25 38 188 30 33 188 10 40 240 20 36 175 22 32 168 9 44 246 38 33 160 10 41 215 27 34 159 12 34 146 44 219 10 28