what is the chi square equation?
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Chi-Square Formula This is the formula for Chi-Square: Χ2 = Σ(O − E)2E. Σ means to sum up (see Sigma Notation) O = each Observed (actual) value. E = each Expected value.
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The chi-square distribution (also called the chi-squared distribution) is a special case of the gamma distribution; A chi square distribution with n degrees of freedom is equal to a gamma distribution with a = n / 2 and b = 0.5 (or β = 2). Let's say you have a random sample taken from a normal distribution.
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The standard form of a quadratic equation in one variable is ax^2 + bx + c = 0.
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Cubic Equations. A cubic equation is an equation which can be represented in the form a x 3 + b x 2 + c x + d = 0 ax^3+bx^2+cx+d=0 ax3+bx2+cx+d=0, where a , b , c , d a,b,c,d a,b,c,d are complex numbers and a is non-zero.
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The quadratic formula. The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .
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Solve equations of the form ax2+c=0 by extracting the roots. Extracting roots involves isolating the square and then applying the square root property. Remember to include “±” when taking the square root of both sides. After applying the square root property, solve each of the resulting equations.
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The general approach is to collect all x2 terms on one side of the equation while keeping the constants to the opposite side. After doing so, the next obvious step is to take the square roots of both sides to solve for the value of x. Always attach the ± symbol when you get the square root of the constant.
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Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis). ... It cuts the y-axis at -2, and this is the constant in the equation.
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The chi-square distribution arises in tests of hypotheses concerning the independence of two random variables and concerning whether a discrete random variable follows a specified distribution. ... An F-test can be used to evaluate the hypothesis of two identical normal population variances.
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['Solution.', 'Step 1: Add or subtract the constant term to obtain an equation of the form x2+bx=c. ... ', 'Step 2: Use (b2)2 to determint the value that completes the square. ... ', 'Step 3: Add (b2)2 to both sides of the equation and complete the square.', 'Step 4: Solve by extracting roots.', 'Answer:']
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Step 1: Getting Started You should know that a quadratic equation looks something like this: x^2-3x+2=0 or ax^2+bx+c=0. This will be important later on. The first step is to press the program button on your calculator. Press the right arrow twice to get to new and select create new.
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A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
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['Step 1: Calculate your expected value. ... ', 'Step 2: Type your data into columns in Excel. ... ', 'Step 3: Click a blank cell anywhere on the worksheet and then click the “Insert Function” button on the toolbar.', 'Step 4: Type “Chi” in the Search for a Function box and then click “Go.”']
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Examine the equation for the line, which Excel is now displaying overlaid on the scatter plot. The equation will be in the form of "y = mx + b" where m and b will be numbers. The value of "m" is the slope of the graph. For example, if the equation is y = 5.2x + 7, the slope is 5.2.
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Complete the square of ax2 + bx + c = 0 to arrive at the Quadratic Formula. Divide both sides of the equation by a, so that the coefficient of x2 is 1. Rewrite so the left side is in form x2 + bx (although in this case bx is actually ). Since the coefficient on x is , the value to add to both sides is .
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R2=1−sum squared regression (SSR)total sum of squares (SST),=1−∑(yi−^yi)2∑(yi−ˉy)2. The sum squared regression is the sum of the residuals squared, and the total sum of squares is the sum of the distance the data is away from the mean all squared. As it is a percentage it will take values between 0 and 1.
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A t-test tests a null hypothesis about two means; most often, it tests the hypothesis that two means are equal, or that the difference between them is zero. ... A chi-square test tests a null hypothesis about the relationship between two variables.