A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
1 answer:
Answer:
N=27 individuals
Step-by-step explanation:
Analysis of variance (ANOVA) is employed to assess the differences among group means in a sample.
The sum of squares refers to the cumulative square of variation, which is the dispersion between each individual value and the overall mean.
While conducting a multiple regression, we aim to understand the relationship between multiple independent or predictor variables and one dependent or outcome variable.
<passuming we="" have="" src="https://tex.z-dn.net/?f=k" id="TexFormula1" title="k" alt="k" align="absmiddle" class="latex-formula"> independent variables and
We also have this property
The model's degrees of freedom in this instance is determined by where k = 2 represents the number of variables.
For the error's degrees of freedom in this case, it is indicated by . Knowing k allows us to ascertain N.
The total degrees of freedom would be
This leads us to conclude that the correct answer is N=27 participants.
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Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
<pBy simplification, we obtain:(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.
This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
Thus, the polynomial can be expressed as: