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1. Give an example of a single polynomial with degree 3, whose value is 4 when the variable is equal to 1.
2. Give an example of a single polynomial with degree 3, whose value is 29 when the variable is equal to 2.
3. Find a polynomial with degree 3 whose values are 4 and 29 when the variable is equal to 1 and 2, respectively. How many polynomials that satisfy these constraints are there? Note that in this part, you need to come up with a single polynomial that satisfies these two constraints simultaneously.
4. State the identities of the difference of two squares and the square of a binomial. Why do you think they are important? give at least one example from each identity.
A small New England college has a total of 400 students.The Math SAT is required for admission, and the mean score of all 400 students is 620. The population standard deviation is found to be 60. The formula for a 95% confidence interval yields th..
Suppose that a certain college class contains 54 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither. A student is selected at random from the class.
List one unclear concept regarding regression and provide an example from your personal or work life where regression could be used to show a relationship between two variables.
There are twelve months. Given the cohort of 100 which starts the program, about how many are left after twelve months?
Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 200 times and got 83 heads. How significant is this evidence against equal probabilities?
It has been reported that 80% of taxpayers who are audited by the Internal Revenue Service end up paying more money in taxes. Assume that auditors are randomly assigned to cases, and that one of the ways the IRS oversees its auditors is to monitor..
Public health statistics indicate that about 26.4% of Americans smoke. Suppose a random sample of 50 people is selected. Approximate the distribution of the same proportion with the normal model.
Below, explicitly state slope of your trend line and describe what value of slope signifies in terms of this context.
Provide at least 1 example of how a real company has used each of the following multivariate techniques: factor analysis, multi-dimensional scaling, and cluster analysis.
Use three decimal places in your answers for this problem. The following table was collected.
Projection are form the U.S. National Center for Education Statistics>. Create a multiple bar graph of data, and then explain any trends.
On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
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