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Breeding of thoroughbreds. The breeding ability of a thoroughbred horse is sometimes a more important consideration to prospective buyers than racing ability. Usually, the longer a horse lives, the greater its value for breeding purposes. Before marketing a group of horses, a breeder would like to be able to predict their life spans. The breeder believes that the gestation period of a thoroughbred horse may be an indicator of its life span. The information in the next table was supplied to the breeder by various stables in the area. (Note that the horse has the greatest variation of gestation period of any species due to seasonal and feed factors.) Consider the first-order model
y = β0 + β1x + ε.
where y = life span (in years) and x = gestation period (in months).
(a) Fit the model to the data.
(b) Check model adequacy by interpreting the F and R2 statistics.
(c) Construct a plot of the residuals versus x, gestation period.
(d) Check for residuals that lie outside the interval 0 ± 2s or 0 ± 3s.
(e) The breeder has been informed that the short life span of horse #3 (7 years) was due to a very rare disease. Omit the data for horse #3 and refit the least squares line. Has the omission of this observation improved the model?
Find a 95% confidence interval for the proportion of voters in Massachusetts who would respond this way. Are the assumptions and conditions satisfied? Explain.
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Grocery retailer. A large, national grocery retailer tracks productivity and costs of its facilities closely. Data below were obtained from a single distribution center for a one-year period.
a. What is the probability that the person both thinks that ?Made in America? ads boost sales and uses social media online?
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An opinion poll asks an SRS of 500 adults whether they favor tax credits for companies that demonstrate a commitment to preserving the environment. Suppose that in fact 45% of the population favor this idea. What is the probability that more than ..
If W denotes the total number of spaces one moves under these special conditions, find the mean and standard deviation of W.
What other attributes are important in a job decision? Would the two-attribute utility function you just assessed be useful as a first approximation if many of the other at- tributes were close in comparing two jobs?
What proportion of observed variation in hardness can be explained by the simple linear regression model relationship between hardness and elapsed time? (Give the answer to three decimal places.)
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select a company maybe your employer and assess how it uses data in marketing its products or services. if it is not
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