The following data was reported on total fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).

1: 20.3 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1
2: 26.4 24.0 26.2 20.2 23.7 34.0 17.1 26.8 23.7 24.7
3: 29.9 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 36.0
4: 37.2 44.2 34.1 30.3 31.9 33.1 34.1 32.9 36.3 25.5

carry out an analysis of variance f test at significance level 0.01. state the appropriate hypotheses.

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Ответ:

miya214

06.02.2020

Mathematics

Step-by-step explanation: Given that,

$(-9,-3)~\textup{and}~(-12,-4)$ are two points contained in the function. Since it is a direct variation function, so it is a straight line passing through the given points.

Let, $x_{1}=-9,~y_{1} =-3,~x_{2}=-12~\textup{and}~y_{2} =-4.$

So, slope of the line is given by

$m=\dfrac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\Rightarrowc=\dfrac{1}{3}.$

The equation of the line or the function is

$y-y_{1} =m(x-x_{1} )\\\Rightarrow y+3 =\frac{1}{3}(x+9 )\\\Rightarrow3y+9=x+9\\\Rightarrow3y=x\\\Rightarrow y=\frac{x}{3}.$

Thus, (c) $y=\dfrac{x}{3}$ is the correct option.

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