I am having trouble with this question. Can you help me out?

Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small citie

MAVERICK [17]

Answer:

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.

4 0

2 years ago

When you get in a business, make a lot of money, and then get out, it’s referred to as a(n)

pantera1 [17]

The answer is hit and run business

6 0

2 years ago

Read 2 more answers

If a product makes it through a rigorous development process, will it be a sure success?

Otrada [13]

When it comes to this context, nothing is sure to be a success, so no

7 0

3 years ago

Read 2 more answers

Jamestown Supply is trying to decide whether to lease or buy some new equipment. The equipment costs $72,000, has a 4-year life,

DochEvi [55]

Answer:

$15,708

Explanation:

Calculation to determine What is the amount of the aftertax lease payment

Using this formula

Aftertax lease payment=Leased equipment(1-Tax rate)

Let plug in the formula

Aftertax lease payment = $23,800 (1 - 0.34)

Aftertax lease payment=$23,800(.66)

Aftertax lease payment = $15,708

Therefore the amount of the aftertax lease payment is $15,708

3 0

2 years ago

Assume that the labor market for barbers is competitive and that it is differentiated into two groups:

ehidna [41]

Answer and Explanation:

I will go through each and every option explaining the reasons and what option would be the best:

The (a) part says 'difference in wages will eventually disappear since a haircut is a homogeneous good' - This is not true because even though it is an homogeneous product, some customers do have a strong preference for barbers who are not going bald. Therefore, they know their worth and they would want to capitalize on that and get paid just a bit more than bald barbers.

The (b) part says 'barbershops that hire barbers with hair will be able to charge a higher price for a haircut to those consumers who have a strong preference for barbers with hair'. - If the barbershop charges higher price for barbers that have hair then the customers will prefer bald barbers as the questions mentions that there is high competition and since it is an homogeneous, customers would be willing to save money and get their haircut from some other barber.

The (c) part says 'barbershops that hire bald barbers will always be much more profitable' - Not necessarily. The reason is that some customers have a strong preference for barbers who are not bald and therefore, that would help barbershops who have barbers with hair to be a bit more profitable as some additional customers would want their services.

The (d) part says 'barbershops that hire barbers with hair will always be much more profitable' - This is the best option and the reason for it is because some customers have a strong preference for barbers with hair and that would help the barbershop to earn more. They would have the customers who already indifferent to whoever cuts their hair and in addition to that, they would also have the customers who have their preference.

Hence the answer is D.

4 0

3 years ago