2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the regression equation :

y = 31.6 + 10.9x

x = the number of years of study ;

y = the grade on the test.

The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test

The predictor variable is x, which is the independent variable, which is the number of years of study.

From. The regression output given ;

The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9

The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)


Related Questions

15 34% is equal to which decimal

Answers

Answer:

0.44117647058824

15/34 as a decimal is 0.44117647058824.

Answer:

0,4411764706

Step-by-step explanation:

15/34=0,4411764706

When a triangle is inscribed in a semicircle where a diameter of the circle is a side of the​ triangle, the triangle formed is always a right triangle. If an isosceles triangle​ (two equal​ sides) is inscribed in a semicircle with a radius of 9 ​inches, find the length of the two legs of the triangle.

Answers

Answer:

Step-by-step explanation:

diameter = 18 inches

each leg = 18/√2 = 9√2 ≅ 12.7 inches

The length of the two legs of the isosceles triangle is 9√2.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

When a triangle is inscribed in a semicircle with one side being the diameter of the circle, a right triangle is always created.

Also, the radius of semicircle is 9 inches,

Since, the isosceles triangle inscribed in the semicircle.

Sides of an isosceles triangle are equal, therefore the corresponding angle will also equal.

The sum of all three angles of a triangle is 180°

x+x+90 = 180

2x = 90

x=45

radius of circle is 9 inches, therefore diameter of circle = 18 inches

Apply sin rule,

18/sin90 = x/sin45

18/1 = x/1/√2

x= 9√2

The length of the side of the isosceles triangle is 9√2.

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I dont even know where to start or what to ask i would like to understand how to solve this so that i can explain to my kid.
I went with a few of my memories from Algebra 1 but I dont think im correct and I am stuck on

Answers

9514 1404 393

Answer:

  A. perhaps 0 to 7 days

  B. the radius in mm at the start of the study

  C. 0.114 mm/day

Step-by-step explanation:

A. It is always problematic to determine the reasonable domain for an exponential growth function. You can always limit the domain to the length of time for which the function is said to model the growth. It is difficult to say how much beyond that time period the exponential growth can be extrapolated, as most systems run into limits to growth.

Here, the base of the exponential term is 1.01 = 1 + 1%. This tells you the growth rate is 1% per day. The study concludes when the radius was 11.79/11.00 = 1.071818... ≈ 1 + 7.2% times the original size. That is, the study lasted approximately 7 days.

The question in part C has you look at the size on day 7, which is apparently the last day of the study. It is not clear that the model is at all useful beyond the end of the period it is intended to describe.

A reasonable domain for the growth function is 0 to 7 days.

__

B. The function gives the radius of the algae after d days. When d=0 (the y-intercept), the function gives the radius of the algae after 0 days. That is the meaning of the y-intercept is the initial radius of the algae (at the beginning of the study).

The y-intercept is always the "initial value", the value when the independent variable is zero. You have to look at the function definition to see what it is the initial value of.

__

C. The average rate of change is the difference in function values divided by the difference in time between them. Here, the attached table tells us that is ...

  (f(7) -f(2))/(7 -2) = (11.793 -11.221)/5 = 0.572/5 = 0.1144 . . . mm/day

The units of the "average rate of change" are the units of the slope of the curve on the graph: the y-axis units divided by the x-axis units. Here, that is mm/day.

3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK

Answers

Answer:

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24

Answer:

X=24

Step-by-step explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x   144

Divide by 6. > 6/6= 1. 144/6=24.

X=24

12 POINTS: The rule is Add -5. The input is 10. What is the output?
NO LINKS

Answers

The output should be -5+10=5

6/24=2/8 is it correct​

Answers

Answer:

this question Simple form is 1/4

Step-by-step explanation:

yes

6/24= 1/4

2/8= 1/4

so 6/24=2/8

Someone pls help…. We need to find m angle f

Answers

Answer:

m<F = 95°

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

m<C = 50

m<A = (10x – 5)

m<B = m<G = (2x + 15)

m<C + m<A + m<B = 180 (Sum of angles in a triangle)

50 + (10x – 5) + (2x + 15) = 180

50 + 10x – 5 + 2x + 15 = 180

50 – 5 + 15 + 10x + 2x = 180

60 + 12x = 180

Collect like terms

12x = 180 – 60

12x = 120

Divide both side by 12

x = 120 / 12

x = 10

Finally, we shall determine the value of m<F. This can be obtained as follow:

m<F = m<A

But

m<A = 10x – 5

x = 10

Therefore,

m<F = 10x – 5

m<F = 10(10) – 5

m<F = 100 – 5

m<F = 95°

which of the following is most likely the next step in the series?

Answers

B) the picture shows all 1 line going away in the 3 picture in the 4 picture would be no line

you sight a rock climber on a cliff at a 32° angle of elevation. your eye level is 5.5 feet above the ground and you are 1000 feet from the base of the cliff. what is the approximate height of the rock climber from the ground?

Answers

Answer:

630 feets

Step-by-step explanation:

From the triangle attached :

Using trigonometry, the height h, which is the height of climber to your eye level :

Tan θ = opposite / Adjacent

Tan 32 = h / 1000

h = tan 32 * 1000

h = 0.6248693 * 1000

h = 624.86935

Height from the ground :

624.86935 + 5.5

= 630.369 feets

= 630 feet

Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30

Answers

Answer:

5 13 and 10

blue cheese

5 13 and 10 hope I help

What should be capitalize in a passage

Answers

There’s no passage attached to this question but here are some things you should capitalize in a passage (this is all that I can think of):
Proper nouns
Every first word in a sentence

Hope this absolutely helps!
SpaceMarsh

This is a rhombus. Solve for x, Then label each angle with its correct measures:

Answers

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?

Answers

The correct answer is (1, 1)

Which inequality has the solution shown below?
-18 -17 -16 -15 -14 -13 -12

Answers

Answer:

0.2x+5>2

Step-by-step explanation:

0.2 is the same as 2/10;

(2/10)x>2-5

(2/10)x>-3

2x>-30

X>-15( since -15 is lesser than -14,-13,-12 and so on. the sign should be >

Whats the answer please help

Answers

Answer: d

Step-by-step explanation:

given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points

Answers

Answer:

1.

[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]

2.

[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]

graph this equation using the intercepts: 6x-4y-12=0. state the intercepts in ordered pairs

Answers

Answer:

Step-by-step explanation:

y=[tex]\frac{3}{2} x\\[/tex]-3

Alice has a total of 12 dimes and nickels.She h as 2 more nickels than dimes. Write an equation

Answers

Answer:

Step-by-step explanation: She has 2 more nickels then dimes not 2 times more therefore answers B and D are incorrect. C is incorrect because it has that there are 2 more dimes than nickels. A is correct because it says that there are c dimes, and then c +2 nickels.

I need help ASAP pls! I hate geometry

Answers

This is the answer hope it helps

Find the slope of the line that passes through these two points. (0, -2): (5. 3)​

Answers

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 1[/tex]

The subjects of an experiment should be selected at random so that they
represent the population from which they come.
O
A. True
O
B. False

Answers

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

Parameterize the curve of intersection of the surfaces so that the direction is clockwise when viewed from above. Include a sketch of each surface and the curve. x + z = 1 and 2 = 4 - x2 - y2

Answers

Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

[tex]z=4-x^{2} -y^{2}[/tex]

Now,

[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]

Which is circle with center (1/2,0) radius

[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]

Now,

baby im jealous....


finish it

Answers

Of how smart you can answer my questions ;)

solve y/2 + 22 =38 for y

Answers

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32[/tex]

Answer:

y=32

Step-by-step explanation:

y/2 + 22 =38

Subtract 22 from each side

y/2 + 22-22 =38-22

y/2 = 16

Multiply each side by 2

y/2 *2 =16*2

y = 32

someone help me on this ixl

Answers

Answer:

Total cost = $6.61

Step-by-step explanation:

Given the following data;

Cost of breaded chicken = $5.68/lb

Quantity of breaded chicken = ¼

Baked chicken = $6.92/lb

Quantity of baked chicken = ¾

To find the total cost;

First of all, we would determine the cost of breaded chicken and baked chicken.

Cost of breaded chicken = ¼ * 5.68

Cost of breaded chicken = $1.42

Cost of baked chicken = ¾ * 6.92

Cost of baked chicken = 20.76/4

Cost of baked chicken = $5.19

Total cost = Cost of breaded chicken + Cost of baked chicken

Total cost = 1.42 + 5.19

Total cost = $6.61

4. Which statement is true about the values of two expressions below?

Expression A: 3x(8+4)

Expression B. 8+4

A. The value of expression B is 3 times the value of expression A.


B. The value of expression A is 3 times the value of expression B.


C. The value of expression A 3 times more the value of expression B.


D. The value of expression B is 3 times more than the value of expression A.

Answers

Answer:

Both B and C should be correct

Step-by-step explanation:

I'm assuming the x in Expression A is a multiplication symbol. If it is not, please tell me and I will change my answer.

Expression B has the value of 8+4 or 12.

Expression A is 3 times (8+4). You could also say that Expression A is 3 times Expression B.

Since both answer B and C say this, they should both be correct.  

What is the density of this object? (A sphere)​​

Answers

Density = 0.29841…

The formula for density is P = m/V

Mean Median Mode Range
I have this numbers : 191 200 379 379 379 459 618 what is my Mean Median Mode Range

Answers

Answer:

Mean  372.14285714286

Median 379

Mode 379

Range 427

Step-by-step explanation:

I hope this helps uwu. Goodluck with your work.

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

angle M = 60

angle Q = 70

Step-by-step explanation:

M 180/3 = 60

Q 180-40 = 140/2 = 70

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared + 2 x minus 6) centimeters.
Which simplified expression represents the area of the parallelogram?

Answers

Answer:

Area = 2x^3 - 6x^2 - 14x + 24

Step-by-step explanation:

h = x - 4

b = 2x^2 + 2x - 6

Area = b * h

Area = (x - 4)(2x^2 + 2x - 6)                           Multiply through by x

Area = 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24     Multiply through by -4

Area = 2x^3 + (2x^2 - 8x^2) - 6x - 8x + 24   Collect like terms.

Answer

Area = 2x^3 - 6x^2 - 14x + 24

Answer:

D

Step-by-step explanation:

TEST ON EDGE

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