Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.

Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10

Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?

Answers

Answer 1

Answer:

A:

STR= -

TSAL= +

INC=+

SGL=-

B:

231.89 - .50 - .02 + .29 -.88

B2:

STR=Y

TSAL=N

INC=Y

SGL=Y

C:

234.89

D:

240.69

Step-by-step explanation:


Related Questions

What does the fox say?

Answers

Answer:

Joff-tchoff-tchoffo-tchoffo-tchoff!

Tchoff-tchoff-tchoffo-tchoffo-tchoff!

Joff-tchoff-tchoffo-tchoffo-tchoff!

Step-by-step explanation:

Answer:

"Joff-tchoff-tchoffo-tchoffo-tchoff!

Tchoff-tchoff-tchoffo-tchoffo-tchoff!

Joff-tchoff-tchoffo-tchoffo-tchoff!"

Put this numbers from least to greatest.

A: 3.2, 0.67, 9, 1.78

B: 1/2, 1/4, 6, 3/4, 7/8

please please please please help me please please please please please please please please please please.​

Answers

Answer: A: 0.67, 1.78, 3.2, 9

B: 1/4, 1/2, 3/4, 7/8, 6

Step-by-step explanation:

If x2 = 60, what is the value of x?

Answers

Answer:

x² = 60

x = √60

x = 7.745

Step-by-step explanation:

•°•°•°•°•°

Answer:

2[tex]\sqrt{15}[/tex]

Step-by-step explanation:

x = [tex]\sqrt{60}[/tex] = [tex]\sqrt{4}[/tex] ·  = 2[tex]\sqrt{15}[/tex]

what is another ratio that is equivalant to 5:3 and 10:6?

Answers

Answer:

5:3 = 10:6

10:6 = 20:12 or 5:3

A point is shown on the coordinate plane below. Where is the point located? *

Answers

I honestly don’t know sorry

Which set of three angles could represent the interior angles of a triangle?

Answers

Answer:

the first option

Step-by-step explanation:

it's the only one tht adds to 180

Answer:

49°, 59° and 72°

Step-by-step explanation:

Interior angles are supposed to add up to 180°

49+59+72=180° (correct set)

34+45+11= 90° (not correct set)

24+51+15= 90° (not correct set)

45+70+85 = 200° (not correct set)

hence the correct set is 49°, 59° and 72°

The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.

Answers

Answer:

[tex] \bf \large 20 \: inches [/tex]

Step-by-step explanation:

Given that :

The radius of a circle is 2.9 in.

to find :

Find the circumference to the nearest tenth.

formulas used :

circumference = 2 × π × r

where,

π = 22/7r = 2•9 inches

explanation :

⟼ c = 2πr

⟼ c = 2 × 22/7 × 2•9 inches

⟼ c = 2 × 3•14 × 2•9 inches

⟼ c = 6•28 × 2•9 inches

⟼ c = 18•21 inches.

Round to the nearest tenth :

⟼ c = 18•21 inches

⟼ c = 20 inches

∴ circle circumference is 20 inches .

The graphs below have the same shape. What is the equation of the red graph? fx=42 . g(x) = ​

Answers

Answer:

Step-by-step explanation:

g(x) = -x²

Answer:

g(x) = -x²

Step-by-step explanation:

We can see that:

f(x) = g(x) + 4, in other words, f(x) is translation of g(x) 4 units up

The the equation of g(x) is:

g(x) = f(x) - 4g(x) = 4 - x² - 4 g(x) = -x²

Julio is a junior ranger at the Rocky Mountain National Forest. It is his job to inform a group of middle school student visitors about ways to prevent forest fires. Which statements would Julio most likely review with the group? Check all that apply. build campfires away from trees dispose of leftover food in campfires light campfires when it is dry and hot start campfires with an adult present ensure campfires are permitted before lighting them

Answers

Answer:

A, D, E

Step-by-step explanation:

Sorry for being late

To prevent forest fire, Julio should take the measures stated in, A, D, and E.

What is Forest Fire?

Forest fire can be defined as an uncontrolled or unplanned destructive fire that spreads over a forest or woodland.

To prevent forest fire from occuring during the visit of the students, the following measures, among others, should be taken:

Campfires should not be built close to trees.Adult should be present when campfires are started.Campfires should only be started if permitted.

Thus, to prevent forest fire, Julio should take the measures stated in, A, D, and E.

Learn more about forest fire on:

https://brainly.com/question/3630812

HELP ME ASAP STANK STANK

Answers

Answer:

the area of the rectangle is twice the area of the triangle

Step-by-step explanation:

the triangle can fit in the rectangle exactly 2 times.

What is the following simplified product? Assume x >0.
(Square root 6x^2 + 4 square root 8x^3) ( Square root 9X - x square 5x^5)?

Answers

Answer:

tthhaatttss a lloott

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right on edge

An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below. y = x + 12 y = −x + 17 Which of the following statements is a correct step to find x and y? (4 points) Question 1 options: 1) Multiply the equations to eliminate y. 2) Write the points where the graphs of the equations intersect the x-axis. 3) Write the points where the graphs of the equations intersect the y-axis. 4) Add the equations to eliminate x.

Answers

Answer:

4) add the equations to eliminate x

Step-by-step explanation:

After adding the equations then you can use the value you found for y to substitute back into one of the equations in order to find x

A computer is on sale for 80% of the original price. If the computer originally cost $400, what is its sale price?

Answers

Answer:

$320

Step-by-step explanation:

400*0.8(decimal form of 80%) = 320

Answer:$80

Step-by-step explanation:

$400x0.80=$320 off

400-320=$80

Or

$400 x 0.20= $80 sale price

HELP ILL GIVE BRAINLIEST AND NO LINKS

Answers

Answer:

x<9

Step-by-step explanation:

Plz!!!! need help algebra!!!

give a good answer... and you get brainlst!!

Answers

Answer:

What's the question?

Step-by-step explanation:

please tell me please

Answers

Answer:

17/20

Step-by-step explanation:

85

Simplify by dividing by 5 -> 85/100 = 17/20

Answer:

a) 17/20

Step-by-step explanation:

as shaded blocks are 85 and total blocks are 100

so ,

85/100 = 17/20

happy to help :)

The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,803 and 1,756, respectively.
(a) Compute R2. (Round your answer to three decimal places.) R2 =
(b) Compute Ra2. (Round your answer to three decimal places.) Ra2 =
(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.

Answers

Answer:

a) = 0.9739

b) = 0.969

c) option A is correct

Step-by-step explanation:

Given that:

sample size n = 30

SST = 1803

SSR = 1756

[tex]R^2 = \dfrac{SSR}{SST} \\ \\ R ^2 = \dfrac{1756}{1803} \\ \\ \mathbf{R^2 =0.9739}[/tex]

The adjusted [tex]R_a^2[/tex] is computed as:

[tex]R_a^2 = 1 - (\dfrac{n-1}{n-p})(1-R^2)[/tex]

where;

[tex]p = k+1 \\ p= 4+1 = 5[/tex]

[tex]R_a^2 = 1 - (\dfrac{30-1}{30-5})(1-0.9739)[/tex]

[tex]R_a^2 = 1 - (\dfrac{29}{25})(0.0261)[/tex]

[tex]R_a^2 = 1 - (1.16)(0.0261)[/tex]

[tex]R_a^2 = 1 -0.030276[/tex]

[tex]\mathbf{R_a^2 \simeq 0.969}[/tex]

-2

10 simplify

How do you simplify-2 over 10?

Answers

Answer:

Step-by-step explanation:

Answer:

Divide through by 2

which will give -1 over 5

Which graph represents the equation y = - 4/3 x - 2 ?

Answers

So your y-intercept will be on -2 and your line will go 4 spaces down and 3 spaces to the right. There is a website called Desmond that will help

find the value of
x!!!!!!!!!!

Answers

Answer:

x = 16

Step-by-step explanation:

7x - 12 + 5x = 180

12x = 192

x = 16

Answer:

x = 16

Step-by-step explanation:

180 = (7x-12) + 5x

192 = 12x

16 = x

the skin can help protect a person from pathogens true or false

Answers

true, the skin acts as a barrier that makes it harder for pathogens to get in. they ofc can still get in from noses/mouths etc, but it helps. please give brainiest if its right!! :D

Answer:

I think its false

Trents family has 28 pears and will eat 4 per day

Answers

Answer:

So they will finish in 7 days,.

Step-by-step explanation:

a customer purchases windows for $15,000 using a credit card. If the interest is compounded monthly at a rate of 16% per year, how much interest will be charged at the end of three years?​

Answers

Answer:

≈ $9164.35

Step-by-step explanation:

The future amount A is calculated as

A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3

A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]

   = 15000 ([tex](1.01333)^{36}[/tex]

   ≈ 24164.35

Interest paid = $24164.35 - $15000 = $9164.35

Answer:

The future amount A is calculated as

A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

What percentage of the shape is blue?
Write your answer using a percent sign (%).

Answers

Answer:43%

Step-by-step explanation:

The answer is 43%%%%%%%

3.50 rounded to the nearest whole ounce​

Answers

Answer:

4

Step-by-step explanation:

Look at the tenths place to round.

4 and below, round down.

5 and above, round up.

In this case, it’s 5 so round up.

3.50 -> 4

Which expressions are equivalent to 6x−18 ?

Answers

Answer:

x + 5x - 18, 3(2x - 6), 2(3x - 9).

Step-by-step explanation:

x + 5x - 18

6x - 18

x + x + x - 10 - 8

3x - 10 - 8

3x - 18

3(2x - 6)

6x - 18

2(3x - 9)

6x - 18

6(x - 18)

6x - 108

The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the given options,

Option A,

x + 5x - 18

6x - 18

Option, B

x + x + x - 10 - 8

3x - 10 - 8

3x - 18

Option, C

3(2x - 6)

6x - 18

Option,D

2(3x - 9)

6x - 18

Option,E

6(x - 18)

6x - 108

Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

cuanto es 45+45+45+45+45+45+45+45.

Answers

Answer:

360

Step-by-step explanation:

45 x 8

Answer:

360

Step-by-step explanation:

45+45+45+45+45+45+45+45 = 45 x 8 = 362

Find ? (inscribed angle)

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.

  ? = 90°

Solve for X (15x-23)

Answers

Answer:

15 ^2 − 2 3

Step-by-step explanation:

Darnell's Burgers cooks its burgers either well done or medium. Last night the restaurant served 15 burgers in all, 6 of which were well done. What percentage of the burgers were well done? ANSWER ASAP!​

Answers

Answer:

40%

Step-by-step explanation:

6/15 as a percent is 40/100 or 40%

Hope this helps! :)

Answer:

.9%

Step-by-step explanation:

so you take a calculator and input 15 and then you subtract 6 and then you hit the % button and your answer is .9% there you go!!!          oh and Darnell is been on guy's groceries games and he used to be in pearl wit his business

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