STA 6166 – Exam 3 – Fall 2009
PRINT Name _____________________
A study was conducted to relate weight gain in chickens (Y) to the amount of the amino acid lysine ingested by the
chicken (X). A simple linear regression is fit to the data.
ANOVA
df
SS
MS
F
Pvalue
Regression
1
27.07
27.07
23.79
0.0012
Residual
8
9.10
1.14
Total
9
36.18
CoefficientsStandard Error
t Stat
Pvalue
Intercept
12.4802
1.2637
9.8762
0.0000
lysine(X)
36.8929
7.5640
4.8774
0.0012
•
Give the fitted equation, and the predicted value for X=0.20
•
Give a 95% Confidence Interval for the MEAN weight gain of all chickens with X=0.20 (Note: the mean of X is
0.16 and S
XX
=0.020)
•
What proportion of the variation in weight gain is “explained” by lysine intake?
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A researcher reports that the correlation between length (inches) and weight (pounds) of a sample of 16 male adults of a
species is r=0.40.
•
Test whether she can conclude there is a POSITIVE correlation in the population of all adult males of this species:
o
H
0
:
ρ
= 0
H
A
:
ρ
> 0
o
Test Statistic:
o
Rejection Region (
α
=0.05):
o
Conclude:
Positive Association
or
No Positive Association
•
A colleague from Europe transforms the data from length in inches to centimeters (1 inch=2.54 cm) and weight
from pounds to kilograms (1 pound=2.2 kg). What is the colleague’s estimate of the correlation?
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 Fall '08
 Staff
 Statistics, Linear Regression, Regression Analysis, significance level, weight gain, Liver tumor, LANDCULT

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