Simple Linear Regression Assumptions/Transformations:
1. Linearity the scatterplot indicated a straight line relationship
a. Line may be curved
b. May have outliers or influential observations points may not really belong to
your population.
2. Constant V
1 Area under a curve
n
i=1 c = cn
n
+1)
i = n(n2
i=1
n
i2 = n(n+1)(2n+1)
i=1
6
Theorem 1.1
1.
2.
3.
Proof. The proof is by induction. We show that the result holds
for a base case, and then given that the result holds for n that
it must hold for n + 1.
Co
Board Problems from 2/7/06
1.
> Int(cos(exp(3*x)*exp(3*x),x=0.Pi);
(3 x)
(3 x)
cos( e
dx
)e
0
(3 x)
(3 x)
Let u = e
then du = 3 e
dx.
> 1/3*Int(cos(u),u=1.exp(3*Pi)=1/3*int(cos(u),u=1.exp(3*Pi);
e
1
3
1
(3 )
1
1
(3 )
)
cos( u ) du = sin( 1 ) + sin( e
3
3
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One and Two Sample Assignment
For these investigations, write a report that includes all the relevant information asked for the
analyses. Assume you are writing to someone with knowledge of statistics. Your report should
be able to be read on its own with