Business, 26.12.2019 23:31 Diegosolorzano50

Let x be per capita income in thousands of dollars. let y be the number of medical doctors per 10,000 residents. six small cities in oregon gave the following information about x and y.

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Answer from: womankrush538

The percentage of variation esplained by the model is given by the determination coefficient, on this case:

R^2 = 0.934^2 =0.872

And we have 87.2% of the variation explained by the linear model given.

$\hat y = 5.756(8.5) -36.895=12.031$

And we have 12.031 doctors per 10000 residents.

Explanation:

Assuming the following dataset:

x y

8.6 9.6

9.3 18.5

10.1 20.9

8.0 10.2

8.3 11.4

8.7 13.1

Assuming this question: "The data has a correlation coefficient of r = 0.934. Calculate the regression line for this data. What percentage ofvariation is explained by the regression line? Predict the number of doctors per 10,000 residents in a town with a per capita income of $8500."

We want a linear model like this:

y = mx +b

Where m represent the slope and b the intercept for the linear model. And we cna find the slope and b with the following formulas:

$m = \frac{n \sum xy - \sum x \sum y}{n \sum x^2 -(\sum x)^2}$

$b = \frac{\sum y}{n} -m \frac{\sum x}{n}$

And from the dataset we have the following values:

$n= 6, \sum x =53, \sum y = 83.7 , \sum xy = 755.89, \sum x^2 = 471.04$

And replacing into the equation for m we got:

$m =\frac{6(755.89) - (53)(83.7)}{6(471.04) -(53)^2}=5.756$

And the intercept:

$b = \frac{83.7}{6}-36.895 5.756 \frac{53}{6}=-36.895$

And then the linear model is given by:

$\hat y = 5.756 x -36.895$

We can find the estimation replacing x = 8.5 into the linear model and we got:

$\hat y = 5.756(8.5) -36.895=12.031$

And we have 12.031 doctors per 10000 residents.

The percentage of variation esplained by the model is given by the determination coefficient, on this case:

R^2 = 0.934^2 =0.872

And we have 87.2% of the variation explained by the linear model given.

Answer from: Quest

start by isolating the variable on one side by adding 43w^2 to both sides. the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i. the square root of 5 remains √5

the answer is i/√5.

hope this

Answer from: Quest

Sample response: tara should research cheaper colleges, living at home while attending school, and good savings plans. this is the answer that they are looking for on edgenuity

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