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Ostrovityanka [42]
3 years ago
10

A company specializes in custom home resales in an exclusive subdivision. A random sample of nine custom homes currently listed

for sale provided the following information on size and price.​ Here, x denotes​ size, in hundreds of square​ feet, rounded to the nearest​ hundred, and y denotes​ price, in thousands of​ dollars, rounded to the nearest thousand. Use the information to complete parts​ (a) through​ (g). x 26 27 33 29 29 34 30 40 22
y 540 555 575 577 606 661 738 804 496

a. Find the regression equation for the data points.
b. Graph the regression equation and the data points.
c. Describe the apparent relationship between the two variables under consideration.
d. Interpret the slope of the regression line.
e. Identify the predictor and response variables.
f. Identify outliners and potential influential observations.
g. Predict the values of the response variable for the specified values of the predictor variable, and interpret your results.

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Given data of x and y are tabulated and slope and intercept found out

X Y

 

26 540

27 555

33 575

29 577

29 606

34 661

30 738

40 804

22 496

 

SLOPE 15.89351852

Intercept 140.0833333

a) Regression equation is

y =15.89x+140.08

b) Enclosed

c) POsitive linear relation

d) When x increses by 1 unit y increases by 15.89 units

e) predictor is x and response is y

f) No outliers.Potential are

26 540

27 555

33 575

29 577

g) whenever we have x value we substitute in regression equation and find y

g)

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Elina [12.6K]
Bryan does indeed have enough money to pay back Jennifer.
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5 0
3 years ago
8(b+1)=-3(2+b) simply​
gogolik [260]

Step-by-step explanation:

8(b+1)=-3(2+b)

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11b = -14

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8 0
3 years ago
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

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Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

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                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal
Illusion [34]

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt

7 0
3 years ago
The formula for area is length x width.
ollegr [7]

Answer:

7/8

Step-by-step explanation:

7/5•5/8= 7•5/5•8

= 35/40

=7/8

hope this helps chu

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