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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?
Recognize the importance of some very famous numbers, as well as learn more about approximations - Provide a short definition of Pi.
A bacteria culture initially contains 1132 bacteria and doubles every half hour. Find the size of the bacterial population after 60 minutes.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
(3/2) * (0.75 (√2(2+1)) -1)/0.25) *1 = 3.95can you explain with in details how to get to 3.95 answer, explain how to plug in the numbers in a calculator
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
Find the quadratic polynomial of best fit and graph it on the scatterplot. State the formula for the quadratic polynomial.
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
A rectangular page is to contain 52 square inches of printable area. The margins at the top and bottom of the oage are 1 inch, one side margin is 1 inch and the other side margin is 2 inches. What should the dimensions of the page be so that the l..
1. Construct a histogram and a frequency polygon for the following data.
questionnbsplet a be an n times n matrix with eigen values 1 2 middot middot middot n. prove there are 2nn different
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