enme392_1601_writtenHw5-1.pdf - ENME392 Spring 2016 Written...

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ENME392 Spring 2016 Written homework 5 Due in class Thursday 4/28 as hardcopy 1. As the number of farms has decreased in the United States, the average size of the remaining farms has grown larger, as shown in the table below. Year Average Acreage Per Farm 1959 303 1969 390 1978 449 1987 462 1997 487 (a) Find the linear regression for this problem. (b) Calculate the coefficient-of-determination. (c) With the regression equation found in part (a), predict the average acreage in 1930. (d) Determine a 95% confidence interval for the expected value in the year 2000. ENME392 Spring 2016, University of Maryland 1
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2. You invest your life’s savings in 5 different hedge fund companies, each of which invests your money in 10 different in-house funds. You realize that this type of investing is risky, but you want the maximum long-term growth rate. After one year, the results are as listed in the table. Are the hedge fund companies equally good, or are there statistically significant differences between them? Company 1 2 3 4 5 Average return (%) 4.0 10.6 7.1 5.9 2.4 Std. dev. (%) 7.7 6.8 7.8 8.2 6.5 Note: the standard deviation for each company was computed as s = v u u t 1 n - 1 n X j =1 ( x j - x ) 2 , where n
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