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egoroff_w [7]
2 years ago
9

If a linear regression has a correlation coefficient of 0.85, which of the following statements is true?

Mathematics
2 answers:
cupoosta [38]2 years ago
5 0

Answer:

4.The data has a strong linear association.

Step-by-step explanation:

The correlation coefficient is used to determine how related points in a data set are. The coefficient is always in between 0 and 1 (or negative 1 and 0), with 0 being not related and 1 being completely related. So, the closer the coefficient is to 1 (or -1) the stronger the association. Since 0.85 is close to 1 it can be said that the data has a strong linear association.

alexandr1967 [171]2 years ago
4 0
Number 4 hope it helps
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Answer:

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Step-by-step explanation:

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Factor the expression using the GCF.<br><br> 1. 9b+21<br> 2. 8x+2<br> 3. 14p-28<br><br> Thank You
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Murrr4er [49]

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3 years ago
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6 0
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WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
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