(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

Answer:

<h2>Her prediction will be somewhat likely to be close to the actual value.</h2>

Step-by-step explanation:

A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.

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Answer:

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Step-by-step explanation:

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Have rational roots, than the roots are of the form: $\frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.$

Rewriting the equation we have:

$x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.$

$x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.$