Examples of Square Deal in the following topics:
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- Roosevelt's Square Deal focused on conservation of natural resources, control of corporations, and consumer protection.
- The Square Deal was President Theodore Roosevelt's domestic program.
- These three demands often are referred to as the "three Cs" of Roosevelt's Square Deal.
- Trusts and monopolies became the primary target of Square Deal legislation.
- Photograph of Senator Hepburn, who sponsored the Hepburn Act, which regulated railroad fares, one of the goals of Roosevelt's Square Deal.
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- The difference between weighted and unweighted means is a difference critical for understanding how to deal with the confounding resulting from unequal n.
- When confounded sums of squares are not apportioned to any source of variation, the sums of squares are called Type III sums of squares.
- When all confounded sums of squares are apportioned to sources of variation, the sums of squares are called Type I sums of squares.
- As you can see, with Type I sums of squares, the sum of all sums of squares is the total sum of squares.
- None of the methods for dealing with unequal sample sizes are valid if the experimental treatment is the source of the unequal sample sizes.
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- Variance is the sum of the probabilities that various outcomes will occur multiplied by the squared deviations from the average of the random variable.
- The variance of a data set measures the average square of these deviations.
- A clear distinction should be made between dealing with the population or with a sample from it.
- When dealing with the complete population the (population) variance is a constant, a parameter which helps to describe the population.
- When dealing with a sample from the population the (sample) variance is actually a random variable, whose value differs from sample to sample.
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- For now, deal with roots by turning them back into exponents.
- If the square root of a number is taken, the result is a number which when squared gives the first number.
- Roots do not have to be square.
- However, using a calculator can approximate the square root of a non-square number:√3=1.73205080757
- Writing the square root of 3 or any other non-square number as √3 is the simplest way to represent the exact value.
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- Areas in the chi-square table always refer to the right tail.
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- Define the Chi Square distribution in terms of squared normal deviates
- The Chi Square distribution is the distribution of the sum of squared standard normal deviates.
- Therefore, Chi Square with one degree of freedom, written as χ2(1), is simply the distribution of a single normal deviate squared.
- A Chi Square calculator can be used to find that the probability of a Chi Square (with 2 df) being six or higher is 0.050.
- The Chi Square distribution is very important because many test statistics are approximately distributed as Chi Square.
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- When a trinomial is a perfect square, it can be factored into two equal binomials.
- Note that if a binomial of the form a+b is squared, the result has the following form: (a+b)2=(a+b)(a+b)=a2+2ab+b2. So both the first and last term are squares, and the middle term has factors of 2, a, and b, where the latter are the square roots of the first and last term respectively.
- For example, if the expression 2x+3 were squared, we would obtain (2x+3)(2x+3)=4x2+12x+9. Note that the first term 4x2 is the square of 2x while the last term 9 is the square of 3, while the middle term is twice 2x⋅3.
- Suppose you were trying to factor x2+8x+16. One can see that the first term is the square of x while the last term is the square of 4.
- Since the first term is 3x squared, the last term is one squared, and the middle term is twice 3x⋅1, this is a perfect square, and we can write:
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- On the right are people who play a great deal (tournament players).
- It is based on the concept of the sum of squared deviations (differences).
- The first row in the table shows that the squared value of the difference between 2 and 10 is 64; the second row shows that the squared difference between 3 and 10 is 49, and so forth.
- When we add up all these squared deviations, we get 186.
- So, the sum of the squared deviations from 5 is smaller than the sum of the squared deviations from 10.
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- The method of completing the square allows for the conversion to the form:
- Once completing the square has been performed, the quadratic is easy to solve; because there is only one place where the variable x is squared, the (x−h)2 term can be isolated on one side of the equation, and then the square root of both sides can be taken.
- This quadratic is not a perfect square.
- The closest perfect square is the square of 5, which was determined by dividing the b term (in this case 10) by two and producing the square of the result.
- Solve for the zeros of a quadratic function by completing the square