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High school math elective 2-3 independence test, you can go to the textbook.
The following is an excerpt from the encyclopedia independence test, a test method of statistics. It belongs to the X2 test (chi-square test, English name: chi square test) and is a hypothesis test that judges that two types of factors are related or independent of each other based on the number of data.
Suppose there are two categorical variables x and y, and their ranges are divided into sums, and their sample frequency contingency table is:
y1y2 total x1ABA+BX2CDc+D total a+cb+da+b+c+d
If we want to infer the argument h1: "x is related to y", we can use the independence test to examine whether the two variables are related, and we can give a more accurate degree of reliability for this judgment. Specifically, the value of the random variable k 2 (i.e., the square of k) is calculated from the data in the table: k 2 = n (ad - bc) 2 [(a+b)(c+d)(a+c)(b+d)] where n=a+b+c+d is the sample size k2, the greater the probability that "x is related to y" is true.
When the data a, b, c, and d in the table are not less than 5, the following table can be consulted to determine the degree of credibility of the conclusion that "x is related to y".
p(k2k) For example, when the value of the k2 variable of "x is related to y" is , according to **, because of the <, the probability that "x is related to y" is true, i.e. According to the above theory, the calculation is sufficient.
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Critical value, fixed to determine independence.
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(1) Substituting y=x+m into 4x 2+y 2=1 to get 5x 2+2mx+m 2-1=0, 4m 2-4*5 (m 2-1)" 0=>-root number 5 2 "x "root number 5 2.".Let y (x+2)=k=>y=kx+2k substitute into the elliptic equation to obtain (k 2+4) x 2+4k 2x+4k 2-1=0=>16k 4-4(k 2+4)(4k 2-1)" 0=>-2 root number 15 15 "k "2 root number 15 15
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Equal difference series, so.
a m-1 + a m+1= 2 am
So. 2am-am^2=0
am=0 or 2
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