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Learning the mechanics. Consider the eight data points shown in the table.
x
-4
-2
0
2
4
6
8
10
y
-12
-7
14
21
24
31
(a) Fit a straight-line model through the origin; i.e., fit E(y) = β1x.
(b) Calculate SSE, s2, and s.
(c) Do the data provide sufficient evidence to indicate that x and y are positively linearly related?
(d) Construct a 95% confidence interval for β1.
(e) Construct a 95% confidence interval for E(y) when x = 7.
(f) Construct a 95% prediction interval for y when x = 7.
Of all the combinations of these two stocks, the portfolio with the smallest standard deviation (i.e., the MVP) has weights of 56% in WNOand 44% in RPS. Calculate the standard deviation of the MVP.
Suppose a population can be approximated by a normal model with expected value μ = 50 and standard deviation σ = 9.8. Find the probability that a random sample of size 4 has a mean x between 47.8 and 53.7.
find z value describeda find z such that 82 of the standard normal curve lies to the right of z.b find the z value such
Compare equations with one variable to equations with two variables. How are they alike? How are they different? What if an equation had three variables?
Find the sample mean and sample standard deviation of the amount citizens spend per year. When finding a confidence interval for the true mean spent of ALL citizens, should we use a z-score or a t-score? Why?
Compute the time-average autocorrelation function. - Estimate the PSD of this process using the periodogram method.
Employ a four period moving average and determine the forecasted demand for August. Put your answer in the form xx.x with no additional numbers or symbols.
the breaking strength in pounds of a certain new synthetic is normally distributed with a mean of 115 and a variance of
during the 3pm to 5pm time period cars arrive at a banks drive through window at an average rate of 15 customers per
Keith's Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 7 have brake problems. A sample of 6 trucks is randomly selected. What is the probability ..
The 587th of the 731 trees in the preserve was selected as the first observation in the sample. What is the tree number of the second observation in the sample?
Approximately normally distributed with a mean of 32 hours and a standard deviation of 2 hours. What percent of the garages take between 30 and 34 hours to erect?
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