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Consider the simple linear regression model y = 50 + 10 x + e where e is NID (0, 16). Suppose that n = 2 0 pairs of observations are used to ? t this model
Generate 500 samples of 20 observations, drawing one observation for each level of x = 1 , 1.5, 2, . . . , 10 for each sample.
a. For each sample compute the least - squares estimates of the slope and intercept. Construct histograms of the sample values of ˆ ß 0 and ˆ ß 1. Discuss the shape of these histograms.
b. For each sample, compute an estimate of E ( y | x = 5). Construct a histogram of the estimates you obtained. Discuss the shape of the histogram.
c. For each sample, compute a 95% CI on the slope. How many of these intervals contain the true value ß 1 = 1 0? Is this what you would expect? d. For each estimate of E ( y | x = 5) in part b, compute the 95% CI. How many of these intervals contain the true value of E ( y | x = 5) = 100? Is this what you would expect? Use R software.
What is the average number of women who arrived over the same period?
Calculate percentages that describe the nature of the relationship between time spent on extracurricular activities and performance in the course.
acording to the national association of realtors 44 of u.s. homes sold in march 2010 wre purchased by first time home
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In 1981, after more than 300 years of colonial presence in Central America, the British granted self-government to what country?
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a control chart for fraction nonconforming indicates that the current process average is 0.03. the sample size is
suppose a point xy is chosen at random from the disk x2 y2 is less than and equal to 1. find the a marginal density of
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