Problem 5 Assume that the normal random variables X1,X2, .' of mean ,u and variance 0'2 are uncorrelated, i., oov(X.;,X j) = 0, for all 1 S 1' 7E j S...
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# 7939.38 8001.59 8011.68 8021.22 8024.5 8091.5 8024.47 8034.65 7993.33 7874.76 7747.1 7728.51

7694.08 7388.07 7507.84 7473.33 7501.78 7669.26 7616.47 7530.16 7486.74 7328.55 7423.21 7197.49 7125.18 7272.42 7017.87 7276.62 7327.82 7424.02 7344.08 7326.07 7446.09 7544.17 7468.51 7364.05 7230.69 7265.39 7112.83 7193.6 7217.24 6867.43 6985.51 6919.52 7026.5 7041.23 7135.08 7267.37 7279.3 7486.13 7407.95 7017.05 7163.49 6959.63 7121.66 7127 7135.28 6986.37 6886.46 6809.82 6777.59 6607.76 6573.49 6278.49 6257.86 6457.19 6616.79 6649.52 6506.91 6584.77 6567.14 6757.53 6893.44 6923.06 6908.65 6947.46 6908.03 6931.39 7033.75 7010.13 7134.1 7109.57 7061.65 7042.25 7128.18 7075.01 7087.49 7094.79 7208.17 7256.37 7266.28 7356.34 7400.44 7316.5 7232.3 7327.37 7358.85 7437.46 7390.25 7468.57 7450.75 7490.31 7475.41 7481.63 7585.3 7535.29 7526.42 7533.31 7587.45 7636.62 7582.29 7575.38 7483.79 7334.35 7442.56 7571.85 7621.38 7644.79 7658.41 7696.38 7747.4 7721.95 7705.43 7800.25 7618.98 7700 7702.05 7660.07 7726.71 7800.24 7824.61 7891.18 7894.26 7914.51 7924.89 7924.77 7922.73 7975.2 7984.15 7987.16 8000.57 8044.97 7998.45 7969.37 8026.75 8122.88 8150.85 8100.28 8147.65 8104.91 8132.93 8046.48 8092.88 7981.85 8043.52 7946.24 7853.21 7881.31 7720.07 7689.66 7682.8 7832.58 7829.03 7714.06 7765.57 7749.8 7660.72 7675.57 7655.66 7553.02 7565.46 7470.95 7441.21 7413.94 7585.68 7582.24 7652.97 7798.87 7901.04 7803.13 7822.56 7807.19 7819.43 7920.98 7970.26 8087.45 8028.69 8040.58 8005.27 7933.92 7939.36 7988.76 8145.85 8086.65 8129.57 8123.28 8112.91 8061.41 8183.19 8219.28 8209.2 8263.18 8251.66 8224 8151.76 8241.34 8171.99 8242.5 8227.36 8294.68 8294.3 8325.1 8231.77 8290.8 8190.56 8056.42 7823.33 7804.51 7747.27 7921.59 7997.19 7907.49 7852.37 7877.33 7790.2 7828.35 8006.18 7989.36 8017.07 8038.79 7943.65 7829.58 7908.78 7798.35 7945.78 8015.16 7906.44 7949.81 8061.29 8125.58 8130.91 8049.98 8091.68 8206.58 8190.57 8121.64 8148.65 8174.62 8193.59 8184.88 8106.49

The data for problem 6 is above

Problem 5 Assume that the normal random variables X1,X2, ..., X.“ of mean ,u and variance 0'2 are uncorrelated, i.e.,
oov(X.;,X — j) = 0, for all 1 S 1' 7E j S n. (This happens, e.g., if X1,X2,...,Xn are independent.) If
Sn = i 231 Xi is the average of the variables X — 2', 2' = 1 : n, show that: E[Sn] = p, and was“) = i. 71, Problem 6 This is a Matlab exercise. 1. Save the Excel ﬁle ”hw3.xlsx” from Blackboard or DEN in your MATLAB directory 2. Load the Excel ﬁle. Store the ﬁrst column as a vector x and the second column as a vector y. 3. Using the Curve Fitting Tool, ﬁnd a polynomial ﬁt for y = f (2:) Check polynomial ﬁts with degree 1
to 9 and ﬁnd the one with the smallest RMSE. For step 2, use either the import tool or code. If you use the import tool, include a screenshot of it in your
solutions. If you use code, include the commands you had to use. For step 3, include a screen-shot of the Curve Fitting tool, as well as the polynomial ﬁt you found. Note: The data represent the opening values for NASDAQ during the past year.

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