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3 years ago

Regression and modeling with functions

Mathematics

1 answer:

Leto [7]3 years ago

5 0

I used scatter plot graph in the insert graph function of excel and added a trend line that shows the equation of the line of best fit and the r.

The line that can be applied in this function is linear with an equation of y = 3800.6x - 5223.6 and the regression is r² = 0.8925. The y intercept represents when the starting point of a line starts. It is a strong correlation since the value of r² that is equal to 0.8925 is close to 1. We can solve the value of the investment after 6 years using the equation above.

y = 3800.6x - 5223.6
y = 3800.6(6) - 5223.6
y = 17,580

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2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate h

KiRa [710]

Answer:

Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

Let $\mu$ = mean area of several apartments.

So, Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Here, null hypothesis states that the mean area of apartments are same as advertised.

On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

4 0

3 years ago

Write an equation for the table 2 5 5.6 14 7 17.5 8 20

vova2212 [387]

The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

x → 2 : 5.6 : 7 : 8
y → 5 : 14 : 17.5 : 20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ $\frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5$

∵ $\frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5$

∵ $\frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5$

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

5 0

3 years ago

True or false? The graph represents a function 5 -5 A True B. False

Daniel [21]

Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

6 0

3 years ago

Identify whether the series is a convergent or divergent geometric series and find the sum, if possible. A) This is a convergent

Darya [45]

A divergent series is a type of series in which the ratio is too large and the summation is held from one to infinity. Hence, the sum could not be found out. A convergent series, on the other hand, has a definite answer because one could be the ratio is small and the lower and upper limits are defined not equal to infinity either positive or negative.

7 0

3 years ago

C 10 mm 24 mm What is the length of the hypotenuse?

kompoz [17]

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

so, c = √(a² + b²)

10² + 24² = 676

√676 = 26

5 0

3 years ago