> x=c(5,3,1,6,4,3,2,6,7)
> y=c(7,4,1,8,5,2,4,7,9)
> mean(x)
[1] 4.111111
> mean(y)
[1] 5.222222
> cor(x,y) # +...
> x=c(5,3,1,6,4,3,2,6,7)
> y=c(7,4,1,8,5,2,4,7,9)
> mean(x)
[1] 4.111111
> mean(y)
[1] 5.222222
> cor(x,y) # + indicates consistency, more power
[1] 0.943973
> t.test (x,y,paired=T) #sig because of + correlation
Paired t-test
data: x and y
t = -3.1623, df = 8, p-value = 0.01335
alternative hypothesis: true difference in means is not equal to
0
95 percent confidence interval:
-1.9213584 -0.3008638
sample estimates:
mean of the differences
-1.111111
>
What conclusions can be made regarding statistical
significance?
Would...
Given the IVP x * sqrt(x+1) * y'''-y'+xy=0 when
y(1/2)=y'(1/2)=-1 , and y''(1/2)=1
determine the larest...
Given the IVP x * sqrt(x+1) * y'''-y'+xy=0 when
y(1/2)=y'(1/2)=-1 , and y''(1/2)=1
determine the larest interval for which the apporpriate
existsence and uniqueness therom gaurentees the exsistence of a
unique solution, show all work and fully justify why andhow you got
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Let f(x,y) = e-x^2 + 5y^2 - y. Use the
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Let f(x,y) = e-x^2 + 5y^2 - y. Use the
Second Partials Test to determine which of the following is
true.
A) f(x,y) has a saddle point at (0, 1/10)
B) f(x,y) has a relative minimum at (0, 1/10)
C) f(x,y) has a relative maximum at (0, 10)
D) f(x,y) does not have a critical point at (0, 1/10)
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that...
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that H(x,
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1. Show that the u1(x,y)=x and u2(x,y)=x^2-y^2 are solutions to
Laplace Equation.
Then, how can you...
1. Show that the u1(x,y)=x and u2(x,y)=x^2-y^2 are solutions to
Laplace Equation.
Then, how can you combine them to create new solutions.
MATHS CALCULUS
Find the coordinates of the point on the curve y^2 = (5/2)(x+1),
which is...
MATHS CALCULUS
Find the coordinates of the point on the curve y^2 = (5/2)(x+1),
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Let X ~ N (1, 2^2) and Y ~ N (2, 2^2). Suppose that X and...
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independent. Let U = X + Y and V = X ̶Y. Show that U and V are
independent normal random variables. Find the distribution of each
of them.