Mathematics, 02.03.2020 23:56 alienfacetimelol

In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Round the regression line values to the nearest hundredth. Number of years, x 3 4 4 5 3 6 2 7 3Grades on test, y 61 68 75 82 73 90 58 93 72the equation of the regression line for the data is y=6.9096x+46.241. State the meaning of the slope in this context. Do not say "change in y over change in x." State what it means in relationship to the data in this problem.

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Answer from: peternice2956

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

y=6.9096 x +46.241

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

Step-by-step explanation:

Data given:

x: 3, 4, 4, 5, 3, 6, 2, 7, 3

y: 61, 68, 75, 82, 73, 90, 58, 93, 72

$m=\frac{S_{xy}}{S_{xx}}$

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

y=6.9096 x +46.241

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

Horatian satire is more witty and tolerant.named after the roman satirist horacegently criticizes human nature and human follyjuvenalian satire is more angry and personal, attempting to produce anger in the reader.named after roman satirist juvenalattacks human vice-indignant

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