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The U.S. Department of Agriculture has developed and adopted the Universal Soil Loss Equation (USLE) for predicting water erosion of soils. In geographical areas where runoff from melting snow is common, the USLE requires an accurate estimate of snowmelt runoff erosion. An article in the Journal of Soil and Water Conservation (Mar.-Apr. 1995) used simple linear regression to develop a snowmelt erosion index. Data for 54 climatological stations in Canada were used to model the McCool winter-adjusted rainfall erosivity index, y, as a straight-line function of the once-in-five-year snowmelt runoff amount, x (measured in millimeters).
a. The data points are plotted in the scattergram shown below. Is there visual evidence of a linear trend?
b. The data for seven stations were removed from the analysis due to lack of snowfall during the study period. Why is this strategy advisable
c. The simple linear regression on the remaining n = 47 data points yielded the following results:
Use this information to construct a 90% confidence interval for ß1.
d. Interpret the interval, part c.
Explain a Type I error for this situation. Explain a Type II error for this situation.
Suppose 100 randomly selected customers were asked to rate a particular service they recently had on a scale of 0 to 10. The sample mean rating was found to be 7.3.
In order to measure the effectiveness of a new procedure for pruning grapes, 15 workers are assigned to prune an acre of grapes. The effectiveness is measured in worker-hours per acre for each person.
Beta and required rate of return stock has required return of 11%; risk-free rate is 7%t; and market risk premium is 4 %. Determine the stock's beta?
For a portion of the 2004 season, the shooting records of the 29 teams in the NBA showed the probability of scoring two points by making a field goal was .44, and probability of scoring three points by making a three point shot was 0.34. I
Construct a 99% confidence interval for the true average amount of time customers spent in the restaurant. With a .99 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
A student organization at a small business college claims that the average class size is greater than 35 students. Test this claim at α " 0.02, using the following sample of class size:
following a significant one-way between-subjects anova in which k gt 2 what is the next appropriate step?a summarize
A consumer magazine randomly selected 100 new hybrid car dealers from across the country, and created a list of retail prices. They want to know if the price differs from $25,000.
What is the probability of someone entering a code at random and gaining entry to the building?
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
If Belson Electronics's new converter produces less than the 110 volts of their old product, they must redesign it. A sample of 303 converters generated a mean of 107.2 volts, with a standard deviation of 47.3 volts. Set Alpha at 5 percent.
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