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A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84.
a) Find the regression equation for predicting GPA from SAT scores.
b) What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r, then find r².)
c) Does the regression equation account for a significant portion of the variance in GPA? Use ∝ = .05 to evaluate the F - ratio.
Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the claim? Use a 1% level of signi?cance.
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing.
If it costs 1 cent to make a liver-flavored biscuit and 2 cents to make a chicken-flavored one, what is the optimal product mix for a package of the biscuits in order to minimize the firm's cost?
In 2004, Newsmonth reported that 60% of young children have blood lead levels that could impair their neurological development. Assuming that a class in a school is a random sample from the population of all children at risk
The average stock price for companies making up the S&P 500 is $40, and the standard deviation is $10. Assume the stock prices are normally distributed. What is the probability a company will have a stock price less than $33.
What are the advantages and disadvantages of regression models in comparison to using a computerized regression routine? Give examples.
Find out the sample size raised by mean also standard deviation, a sampling distribution may approach among which of the following values.
A sample of 160 workers in the downtown area classified each worker by race. A bar graph of the results is given below, but the bar for black workers in the graph below has been omitted.
You're considering paying $5 to buy a ticket in a local lottery. You were told that 10,000 tickets will be sold. There are 5 prizes. The first prize is $5,000, the second is $1,000, the third is $500, the fourth is $100 and the last prize is $10.
What information is provided by the numeral value of the Pearson correlation? What is the major distinction between the Pearson and Spear man correlations?
The researcher also gathers data on age and major to see if there is any connection between these varibales and frequency of sexual harassment.
She knows that 60% of the minerals have mass less than a certain amount m, and needs to select a random sample of n = 16 specimens for an experiment. With what probability will their average mass be less than the same amount m? (Hint: Calculate th..
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