A researcher is examining the effects of income (X1) and number of friends (X2) on personal happiness (Y) and finds an R2 of 0.45. Which of the following is a correct interpretation of this result?A.Friends are more important than money for happiness. B.Money CAN buy happiness. C.Taken together, income and number of friends explain 0.45% of the variance in happiness. D.Taken together, income and number of friends explain 45% of the variance in happiness.

Answers

Answer 1

Correct interpretation of this result is together, income and friend count account for 45% of the variation in happiness.

Define variation.

Variation refers to this relationship between the change in a variable's value when the values of the linked variables change. An example of a straightforward equation, y = mx, in which m is a constant, can be used to show this. The equation becomes y = 5x if we suppose that the value of m is 5. A function in which the variables are related by how they alter in relation to one another is known as a variation function. In this function, for instance, if x rises or falls, D follows suit. Direct and inverse variation functions are the two different categories of variation functions.

Given

A researcher is examining the effects of income (X1) and number of friends (X2) on personal happiness (Y) and finds an R2 of 0.45.

Here, the independent variables of income (X₁) and friend count account (X₂) for 45% of the variation in happiness.

Correct interpretation of this result is:

D) Together, income and friend count account for 45% of the variation in happiness.

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Related Questions

A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?

Answers

2 1/6

Explanation:
Divide 8 2/3 by 4
Which will be 2 1/6
Mark me brainliest please

PLEASE HELP I NEED THIS

Answers

Answer:

The answer is B because left and down are negative

Calculate the slope of the line using two points.

Question 1 options:

-1/4


1


-4


1/4

Calculate the slope of the line using two points.



Question 2 options:

1


2


4


1/4
Calculate the slope of the line using two points.



Question 3 options:

1/3


2/3


3/2


3

Question 4
Calculate the slope of the line using two points.



Question 4 options:

1/3


2/3


3/2


2

Answers

Kkkxudnekbdjxidbeidbxkdbndixbd

A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 33 pounds?​

Answers

Answer:

57 pounds weight is 95 percent of the limit i think

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

50% of 60 is 30

5% of 60 is 3

If P = (8,2), Find: r270 (P)

Answers

Answer:

In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.

What slope of the points (9,7) and (3,3)

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

21

16

Explanation:

to calculate the slope m use the

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let

(

x

1

,

y

1

)

=

(

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

10

)

m

=

10

11

9

(

7

)

=

21

16

=

21

16

Step-by-step explanation:

Find the area of the composite figure?

Answers

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

The answer to your question is four hundred

I am a number. If you square the product of 3 and 4 you will know what I am. I am __________.

Answers

Answer:

144

Step-by-step explanation:

product of 3 and 4 = 12

square of 12 = 144

Horseshoe crabs on a beach can be overturned by approaching waves. These “stranded” crabs may right themselves by turning over. During a period of many days on an Atlantic Ocean beach, investigators categorized a random sample of crabs as either stranded or not stranded and additionally noted their age category. The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the following table.

Answers

Answer:

B) 52.54

Step-by-step explanation:

The 52.54 is closest to the expected number of young stranded horseshoe crabs.

Here we have given that,

Horseshoe crabs on a beach can be overturned by approaching waves.

The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the table.

  Young Intermediate Adult Total

Yes      41           125 52         218

No     153        364         70         587

Total   194          489  122          805

What is the formula for expected number of young stranded horseshoe crabs?

[tex]Expected number of young stranded horseshoe crabs=\frac{Total values of young horseshoe crabs}{ total crabs}[/tex]

Therefore we get,

Expected number of young stranded horseshoe crabs is,

[tex]=194 (\frac{218}{805} )[/tex]

[tex]=52.54[/tex]

Therefore ,the 52.54 is closest to the expected number of young stranded horseshoe crabs.

To learn more about  the expected number of young stranded horseshoe crabs visit:

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5/3 plus 11/4 I NEED IT FAST!!

Answers

The answer is 53/12=4 5/12

where is -3 3/4 on a number line​

Answers

Answer:

here lol https://imageshare.best/8R2I7D

Step-by-step explanation:

But wheres the picture...

It takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together

Answers

Hello!

Here we could use something called the work equation.

If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].

Then, all we do is solve for it.

[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]

[tex]5x+9x=45[/tex]

[tex]14x=45[/tex]

[tex]x=\frac{45}{14}[/tex]

So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.

Hope this helps!

Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d) -1 (e)-5/2

Answers

Answer:

C -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

Answer:

- 1 / 2

Step-by-step explanation:

→ Add the 2 numbers together

-3 + 2 = -1

→ Divide answer by 2

- 1 ÷ 2 = - 1 / 2 or - 0.5

Can someone pls help with this

Answers

Answer: 4

Step-by-step explanation:

(a) Tom is 7 years old. Bill is 5 years older than Tom.
Write Bill's age in terms of T.

Answers

Answer:

12 years old

Step-by-step explanation:

7 + 5 = 12

T + 5

Use the table to write each ratio Redbirds to blue socks

Answers

Honestly I don’t know the answer

Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?

Answers

Answer:

812 dollars  14 x 58 = $812 dollars.

Step-by-step explanation:

Answer:

I think it is 812 tell me if I'm wrong please

1)) An angle measures 132° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

Answer:

156° and 24°

Step-by-step explanation:

Let it's supplementary angle be x.

So, the angle = (x - 132)°

As we know, sum of supplementary angles is 180°;

x + x - 132 = 180

2x = 180 + 132

2x = 312

x = 312/2

x = 156°

(x-132)° = (156-132)° = 24°

Hence, the angles are 156° and 24°.

x=1 and y=3

2x+3y-2

plsss helpp <3

Answers

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

what is a project in project planning and management and business ​

Answers

Answer:

Step-by-step explanation:

Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique

Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints

How do you define a project?

According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.

What is a project in business?

A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based

The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know


PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP

Answers

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2


State the cross section of the shape found in the picture

Answers

I believe that the cross section is a triangle

For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items.

Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .

Hint: Profit = Revenue - Cost as we examined in Discussion 3.

What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?

The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 70 items =
Number


Profit when producing 80 items =
Number


Can you explain, from our model, why the company makes less profit when producing 10 more units?

Answers

The profit equation is:

p(x) = -0.5*x^2 + 70x - 200

The domain is:

x ∈ [0, 140], such that x ∈ Z

and the profit is larger for 70 items.

We know that:

Cost equation:

c(x) = 50*x + 200

revenue equation:

r(x) = -0.5*(x - 120)^2 + 7,200

The maximum capacity is 140

Then x can be any value in the range [0, 140]

We want to find the profit equation, remember that:

profit = revenue - cost

Then the profit equation is:

p(x) = r(x) - c(x)

p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)

Now we can simplify this:

p(x) =  -0.5*(x - 120)^2 + 7,200 - 50x - 200

p(x) =  -0.5*(x - 120)^2 + 7,000 - 50x

p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x

p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x

p(x) = -0.5*x^2 + 70x - 200

Now we want to answer, what is the domain of p(x)?

The domain is the set of the possible inputs of the function.

Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z

then:

x ∈ Z ∧ x ∈ [0, 140]

Then that is the domain of the profit function.

Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:

70 items:

p(70) = -0.5*70^2 + 70*70 - 200 = 2,250

p(80) = -0.5*80^2 + 70*80 - 200 = 2,200

So the profit is smaller for the larger number of items, why does this happen?

You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/22889366

the cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. what is the area of the base of the cylinder? express your answer in items of pi

Answers

Answer:

16

Step-by-step explanation:

The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.

y = -2x² + 5x+- 11 how do I write this in a standard form?

Answers

9514 1404 393

Answer:

   y = -2x² +5x -11

Step-by-step explanation:

Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.

   y = -2x² +5x -11

Math work please help
don't send any link or ill report ​

Answers

Answer:

Step-by-step explanation:

It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨

8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?

Answers

Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

What is the distribution of population proportion?

For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]

Then, we get:

[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

where

[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.
What is the distribution of random variable which is sum of normal distributions?

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

Here, we're specified that:

For proportion of correct free throw attempts by Daren:

Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]

For proportion of correct free throw attempts by Josh:

Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]

And therefore, we have:

[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]

And therefore, we get:

[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).

Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:

[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]

Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

Learn more about population proportion here:

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Find the area of 10cm, 27cm, 9cm and 24cm.

Answers

If you are helped with my answer pls tag me brianliest

THANK YOU.........

Find the missing number 15/8 ​

Answers

Wait dont we need a picture?

Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Answers

Answer:

[tex]y = \frac{5}{2}x[/tex]

Step-by-step explanation:

Given

Variation: Direct from y to x:

[tex]y\ \alpha\ x[/tex]

[tex]y =15; x = 6[/tex]

Required

Write the equation

[tex]y\ \alpha\ x[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute [tex]y =15; x = 6[/tex]

[tex]15 = 6k[/tex]

Solve for k

[tex]k = \frac{15}{6}[/tex]

[tex]k = \frac{5}{2}[/tex]

Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]

[tex]y = \frac{5}{2}x[/tex]

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Students' tickets cost $2.50 each and parents tickets cost $3.50 each. The total amount collected was $537. How many tickets were sold for parents?