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Compute the correlation coefficient "by hand". You may use excel to do the hand computations. In other words you may use excel to sum up the column compute the squares of each column, etc. You may hand write this and upload an image of your handwritten work. Answer any question in a word document. Mutual fund performance. Many mutual fund compare their performance with that of a benchmark an index of the returns on all securities of the kind that the fund buys. The Vanguard International Growth Fund for example, takes as it benchmark the Morgan Stanley stock market performance. Here are the percent returns for the fund and for the EAFE from 1982 (the first full year of the fund's existence) to 2000
Year
Fund
EAFE
1982
5.27
-0.86
1992
-5.79
-11.85
1983
43.08
24.61
1993
44.74
32.94
1984
-1.02
7.86
1994
0.76
8.06
1985
56.94
56.72
1995
14.89
11.55
1986
56.71
69.74
1996
14.65
6.36
1987
12.48
24.93
1997
4.12
2.06
1988
11.61
28.59
1998
16.93
20.33
1989
24.76
10.80
1999
26.34
27.30
1990
-12.05
-23.20
2000
-8.60
13.96
1991
4.74
12.50
Make a scatterplot suitable for predicting fund returns from EAFE returns. Is there a clear straight line pattern? How strong is this pattern? (Give a numerical measure.) Are there any extreme outliers from the straight line pattern?
A ship travels due west for 550 km then travels N40 degrees west. (bearing 320) For 700 km. How far is the ship from its staring point?
Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work
Explain why the trinomial is or is not a special case and describe your process for factoring it completely. Be sure to use three or more sentences in your explanation. If the polynomial can be factored, then factor it showing your work.
how much money is invested in bonds and how much in certificates of deposit? Explain in detail.
A square garden has a 4 ft walkway around it. The garden has a perimeter of 260 ft. What is the area of the walkway in square feet?
What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence? Explain by showing examples of each.
The nonconstant polynomial p(x) an element of F[x] is irreducible over F iff for all f(x), g(x) an element of F[x], p(x)|(f(x)g(x)) implies p(x)|f(x) or p(x)|g(x), or any other known theorems of polynomials except those involving irreducibility.
Which of the following is/are characteristic(s) of a binomial probability experiment?
Embedded Runge-Kutta Methods- Write out the formulas for k1, . . . , k4, yn+1 and y^n+1. Explain how this specific method can be implemented so that only 3 function evaluations per step are required
If the number sold of franchise A is twice the number sold of franchise C, how many of each type did the company sell that year?
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
A weather satellite is traveling in a circular orbit 9800 miles above the surface of the earth. Find the angle of depression from the television satellite to the horizon. Assume that the radius of the earth is 4000 miles.
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