Ask question

Ask question

All categories

2 years ago

12

Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:

1 answer:

Gelneren [198K]2 years ago

6 0

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

You might be interested in

6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di

ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0

2 years ago

. Given f(x) = e 2x e 2x + 3e x + 2 : (a) Make the substitution u = e x to convert Z f(x) dx into an integral in u (HINT: The ea

MrRa [10]

Answer:

Step-by-step explanation:

Given;

$f(x)=\frac{e^{2x}}{e^{2x}+3e^x+2}$

a)

substitute $u=e^x\\du=e^x dx\\\\\int\frac{e^{2x}}{e^{2x}+3e^x+2}dx=\int\frac{e^x\dot e^x}{e^x^{2x}+3e^x+2}dx\\\\=\int\frac{udu}{u^2+3u+2}$

b)

Apply partial fraction in (a), we get;

$\frac{u}{u^2+3u+2}=\frac{2}{u+2}-\frac{1}{u+1}\\\\\therefore u^2+3u+2\\=u^2+2u+u+2\\=u(u+2)+1(u+1)\\=(u+2)(u+1)\\\\Now\,\int\frac{u}{u^2+3u+2}\,du=\int\frac{2}{u+2}du-\int\frac{1}{u+1}du\\\\=2ln|u+2|-ln|u+1|+c\\=2ln|e^x+2|-lm|e^x+1|+c$

where C is an arbitrary constant

8 0

2 years ago

Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he

FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = $\frac{35}{100}$ = 0.35)

70 = 0.35 * x

x = $\frac{70}{0.35}$

x= 200, Expense = $200

Given : Profit percentage is 15%= $\frac{15}{100}$ = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30

5 0

2 years ago

Read 2 more answers

Octagon PQRSTVWZ is a regular octagon with its center at point C.

REY [17]

Answer:

Option F is correct, i.e. "rotating 90° counterclockwise around point C."

Step-by-step explanation:

Given is the regular octagon PQRSTVWZ with its center at point C.

To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.

We can not use Translations, Reflections, and Dilations because they will change size and coordinates.

We can use only Rotations and that should be about the center C of the regular shape.

About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.

Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."

8 0

3 years ago

An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra

hoa [83]

Answer:

Option 2) y = 26

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

$\text{y: Number of hot dogs}$

The independent variable is the number of teammates.

$\text{x: Number of teammates}}$

Thus, the linear relation between the dependent and the independent variable is given as:

$y(x) = 2x + 6$

We have to find the value of dependent variable when independent variable is 10

For x = 10

$y(10) = 2(10) + 6 = 26$

Thus, the correct answer is

Option 2) y = 26

3 0

2 years ago