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Tim Cooper plans to invest money in a mutual fund that is tied to one of the major market indices, either the S&P 500 or the Dow Jones Industrial Average. To obtain even more diversification, Tim has thought about investing in both of these. To determine whether investing in two funds would help, Tim decided to take 20 weeks of data and compare the two markets. The closing price for each index is shown in the table below:
Develop a regression model that would predict the DJIA based on the S&P 500 index. Based on this model, what would you expect the DJIA to be when the S&P is 1,100? What is the correlation coefficient (r) between the twomarkets?
What kind of statistical test best did you use?
Based on a P-value of 0.0248 the researchers concluded there was evidence that low birth weights may be a risk factor for susceptibility to depression. Explain in context what the reported P-value means.
In forestry there appears to be a correlation between the diameter of a tree at breast height and the totol height of the tree. For the following sample of ten white spruces first construct a scatter plot then find the correlation (r) between heig..
Assume that Los Arboles had a special program in place to encourage helmet use. Elucidate to what extent did removal of the outlier improve the fit.
A random sample of 20 students obtained a mean of x = 72 and a variance of s2 = 16 on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for sigma^2.
Quality Motors is an automobile dealership that regularly advertises in its local market area. It claims that a certain make and model of car averages 30 miles to a gallon of gas and mentions that this figure may vary with driving conditions. A local..
A normal distributed population has a mean of 250 pounds and a standard deviation of 10 pounds. Given n = 20, what is the probability that this sample will have a mean value between 245 and 255 pounds?
Attended a religious service at least once a month, 20 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.
A producer of pleasure boats wants to maximize revenue during the next month. Two types of boats are sold, x1 and x2. Type x1 sells for $40,000 and type x2 sells for $30,000. The x1 boats require 10 weeks of labor and 600 board feet of lumber each..
Calculate the mean, median and mode for both sets and do graph/histogram to chart the results and conclude if indeed one set of year had more the other as far a snowfall.
Although this critique was later discarded, how does user error affect the marketplace. When I buy my morning coffee at Starbucks, the cup warns me: "Careful, the beverage you are about to enjoy is extremely hot."
Suppose that the probability is 1 in 3,900,000 that a single auto trip in the U.S. would result in the death of the driver. Over a lifetime, an average U.S. driver takes 50,000 trips.
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