A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y.
Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198
a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Answers

Answer 1

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847


Related Questions

please help ill give brainliest I need this answer​

Answers

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

if 4lm+3=18 then m =​

Answers

Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

A high school track is shaped as a rectangle with a half circle on either side.
A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle.
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi.

301.9 m

823.6 m

1,207.6 m

1,647.2 m

Answers

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= [tex]192+2\pi (\frac{35}{2})[/tex]

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

                                                              = 1207.6 m

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

i did the test and got it right :D

what is the equation of a circle with a center (-7, -3) and radius 2?

i’ll mark you brainliest!!

Answers

Answer:

2nd

Step-by-step explanation:

bvfhmvdv funny Kahn just list Kay have also off weit

für mich

du ich

HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?

A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2

Answers

Answer:  choice C)  g(x) = 2-x^2

============================================================

Explanation:

The y intercept of the blue curve f(x) is (0,5)

The y intercept of the red curve g(x) is (0,2)

We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.

Based on that, we would say

g(x) = f(x) - 3

g(x) = (5-x^2) - 3

g(x) = -x^2 + (5 - 3)

g(x) = -x^2 + 2

g(x) = 2 - x^2 ..... answer is choice C

Answer:

2-x^2

Step-by-step explanation:

Jimmy wants to draw a 50° angle. Fill in the missing step to make sure his drawing is completed in the correct order:

Step 1: He draws a ray.
Step 2: He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.
Step 3: ________
Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
Step 5: He draws arrows on both ends to make them rays.

Anwsers:
1. He lines up his ruler with the ray and the zero on the ruler.

2. He finds 50° on the protractor and draws a mark on the paper.

3. He lines up his protractor with a straight line and draws a mark on the paper.

4. He draws parallel lines.

Answers

Answer:

2. He finds 50° on the protractor and draws a mark on the paper.

Step-by-step explanation:

Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.

The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.

Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.

Answer He finds 50° on the protractor and draws a mark on the paper.

Find value of x of angles

Answers

Answer:

32

Step-by-step explanation:

52=x+20

52-20=x+20-20

32=x

Mario compares random download times of movies from three different services using the table below.
Service
Download Time
(minutes)
4.9.4.7, 5.0, 4.6, 4.8
Who Knew
Amazing
Prime
4.6. 4.6. 4.8.4.6, 4.9
Peach TV
4.9.4.9, 5.1, 5.0, 5.1
Which service provides the fastest mean download speed?

Answers

Answer:

Who Knew Mean = 4.825

Amazing prime mean =

Peach TV mean = 5.025

Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!

4.826 i’m not sure i tried though

explanation 4.9-79-638

give 10 rational numbers between 2/3 and 4/5​

Answers

Step-by-step explanation:

2/3=0.66666666666

4/5=0.80000000000

10 rational numbers between them

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79

Answer:

67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.

Somebody please help me asap​

Answers

Answer:

sum of angles in a triangle = 180°

180-(90+21)

= 69

pls am I correct

Your answer is going to be 69

In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?

A: P = 11/40 + 1/4 + 1/20

B: P = 11/40 + 1/4

C: P = 11/40 + 1/4 - 1/20

D: P = 11/40 + 1/4 - 1/10

Answers

Answer: Choice C

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

P(A) = 22/80 = 11/40 = probability of picking someone from consumer educationP(B) = 20/80 = 1/4 = probability of picking someone taking FrenchP(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

Which expression is not equivalent to 8 + (n – 4)?
12+n
n+4

(8 + n) – 4
(8 – 4) +n

Answers

Answer: n+4

Step-by-step explanation:

Give the domain and range of the quadratic function whose graph is described. Maximum = - 4 at x = 10 The domain of the function is . (Type your answer in interval notation)​

Answers

Answer:

it is a parabola with max of -4

so domain (-∞,∞)

Step-by-step explanation:

1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is​

Answers

Answer:

5

Step-by-step explanation:

x^2 - 10x + 16 = 0

factor

(x - 2)(x - 8) = 0

roots

x = {2, 8}

mean of roots

a = (2 + 8) /2

a = 5

You invest $24,000 at a simple interest rate of 12% for 9 years, and your
investment grows by $25,920. What is the principal?

Answers

Answer:

The principal is $2400

Step-by-step explanation:

Given

[tex]P = \$24000[/tex]

[tex]t = 9[/tex]

[tex]r =12\%[/tex]

[tex]I = \$25920[/tex]

Required

The principal amount

The principal amount is the amount invested.

From the question, we understand that $24000 was invested.

Hence, the principal is $24000


The sum
of two consecutive
integers is 8,641.
What is the smallest integer?

Answers

Answer:

sim eu também preciso desta respota

Find the value of this expression if x = -2.
x^2 – 8/x + 6​

Answers

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6​

Let x = -2

(-2)^2 – 8

-----------

-2 + 6​

Exponents first

4 – 8

-----------

-2 + 6​

Then complete the numerator and denominator

-4

-----

4

Then divide

-1

Answer:

-1

Step-by-step explanation:

((-2)^2 - 8)/ -2+6

=>(4-8)/4

=>-4/4

=>-1

In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c. y = negative x squared + 5 x a. a = 0, b = 5, c = 0 b. a = negative 1, b = 5, c = 0 c. a = 1, b = 5, c = 0 d. a = 5, b = negative 1, c = 0

Answers

Answer:

b.     a = negative 1, b = 5, c = 0

Step-by-step explanation:

y = negative x squared + 5 x

y = -x² + 5x

a = -1

b = 5

c = 0

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = 3

Answers

Answer:

See below.

Step-by-step explanation:

x + y = 3

Subtract x from both sides:

x - x + y = 3 - x

y = -x + 3 which is slope-intercept form.

A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ .
c. Find the​ P-value; ​P-value = ____.d. State the conclusion.

Answers

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

Create a number line to illustrate the following operations and find the solution.

Answers

Answer:

416

Step-by-step explanation:

26 times 16 is 416

i need to figure this out, but im d*mb.
If i can get 1000 of something for 15$, then how much can i get of it for 10$? need help asap

Answers

Answer:

666

Step-by-step explanation:

1000 off ⇒ $151 off  ⇒ $15/1000 = $0.015

Let the required number is x, then we have:

x off ⇒ $10x * 0.015 = 10x = 10/0.015x = 666 (rounded down to whole number)

Answer:

We get 666 of something in $ 10.

Step-by-step explanation:

Given that :-

We get 1000 of something for $ 15

Find that :-

How much we can get it in $ 10

Let as assume that : -

Let required number be x.

Solution :-

$ 15 = $ 10

1000 = x

Using cross multiplication method

15 × x = 10 × 100 0

multiply ,

15 x = 10000

Divide each side by 15.

15 x / 15 = 10000 / 15

x = 666

Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {x}^{2} - 2x - 48[/tex]

[tex] = {x}^{2} - 8x + 6x - 48[/tex]

Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have

[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]

Taking the factor [tex](x-8)[/tex] as common,

[tex] = (x + 6)(x - 8)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

(X+6)(x-8)

Step-by-step explanation:


Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.
16.8
D
23.2
23.2
12.4
B

Answers

The answer should be 287.7.

In a class of 40 students, 2
5
of the total number of students like to study English and 3
5
of the

total students like to study Mathematics.
a) How many students like to study English?
b)How many students like to study Mathematics?

Answers

16 students like to study English and 24 students like to study mathematics.



I’m pretty sure this is right.
25 & 35 ?????????????????

Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2

A. 36
B. 9/4
C. 4/9
D. 1/36

Answers

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]

You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.​

Answers

Answer:

$3840.

Step-by-step explanation:

First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.

A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get?

Answers

Answer:

each boy will get 1.33333333333 of a pan

Step-by-step explanation:

Answer:

Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating

Step-by-step explanation:

To find this you would take the numbers of pans (4) and divide it by the number of boys (3).

4 / 3 = 1.33333

What points does y-4=-2(x-6) go through

Answers

Answer:

(6, 4)

Step-by-step explanation:

y-4=-2(x-6) <=> y-y1 = s(x-x1)

(x1, y1) => (6, 4)

Write an equation for a line perpendicular to y = -5x - 4 and passing through the point (-5, -4) ​

Answers

Answer:

Step-by-step explanation:

A perpendicular slope is one that is the opposite reciprocal of the one given. The line given, y = -5x - 4, is a line in slope-intercept form where m is the slope and b is the y-intercept. That means that the slope of the given line is -5; therefore, the perpendicular slope is 1/5. Passing through the point (-5, -4), we have

[tex]y-(-4)=\frac{1}{5}(x-(-5))[/tex] which simplifies a bit to

[tex]y+4=\frac{1}{5}(x+5)[/tex] That's the line in point-slope form, so let's also get it into slope-intercept form, which means that we solve the point-slope form equation for y:

[tex]y+4=\frac{1}{5}x+1[/tex] and

[tex]y=\frac{1}{5}x+1-4[/tex] gives us, finally,

[tex]y=\frac{1}{5}x-3[/tex]

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