A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Silica Fume to Increase the Resistance of Concrete to Feed Acids" (Mag. Concrete Res., 1997: 337–344). The equation of the estimated regression line was y = 3.678 + .144x, with r2 = .860, based on n = 23.

a. Interpret the estimated slope .144 and the coefficient of determination .860.
b. Calculate a point estimate of the true average calcium content when the amount of dissolved material is 50 mg/cm2.
c. The value of total sum of squares was SST = 320.398. Calculate an estimate of the error standard deviation σ in the simple linear regression model.

Answers

Answer 1

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

B) Point estimate of true average calcium content

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

=  3.678 + 7.2 =  10.878

C) Determine an estimate of error standard deviation

Given that ; sum of squares ( SST ) = 320.398

                   COD ( r )  = 0.86

first;  calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

       = 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

      = 83.43 / 23 - 2

∴ S ≈ 1.99


Related Questions

Plz help me well mark brainliest if correct.....????.

Answers

The answer is A, 12. :)

Answer:

12 cubic centimeters

Step-by-step explanation:

John throws a biased coin 120 times
It shows heads 90 times

A) John throws the coin once more
Work out an estimate for the probability that the coin shows tails



Carly throws the same coin 200 times
B) Work out an estimate for the number of times the coin shows tails

Answers

Answer:

A) P(T) = 30/120 = 1/4

B) P(T) = 50

Step-by-step explanation:

A) P(T) = 30/120 = 1/4

B) P(T) = 1/4 of 200 which is 50

a. Probability that the coin shows tails is  [tex]\frac{1}{4}[/tex].

b. 50 number of times the coin shows tails.

What is probability?

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

According to the question

a. John throws a biased coin 120 times. It shows heads 90 times.

Probability formula:

Probability = [tex]\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Probability that the coin shows heads = [tex]\frac{90}{120}[/tex] = [tex]\frac{3}{4}[/tex]

Probability that the coin shows tails = 1 - [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]

b. Carly throws the same coin 200 times.

From a, we know the probability that the coin shows tails is  [tex]\frac{1}{4}[/tex].

Number of times the coin shows tails = 200 × [tex]\frac{1}{4}[/tex] = 50

Find out more information about probability here

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Please look at the image

Answers

Answer:

Step-by-step explanation: a is complementary b is 52° c is the same as a d is 142°

Answer:

b is 52°  and A D is 142

Step-by-step explanation:

Need help with using the graph to find the numbers

Assignment is about evaluating composition of functions from graphs anything helps

Answers

Answer:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

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

Un terreno cuadrangular mide 1/4 km de un lado y 1/6 km del otro lado. El area es 1/24.

Calcula el perímetro.

Answers

The answer to this message was because I had to

What is the surface area of the solid that this net can form?
ווווו 8
וחון 25
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
875 square millimeters
O 1,000 square millimeters

Answers

Answer:

CAN NOT SEE SHAPE

Step-by-step explanation:

GOLF Sky is a member of her school’s golf team. The table shows her scores from each of her matches. What was her average golf score? Round to the nearest tenth if necessary.
Table:
72|69|72
71 |71|69
68|72|68

Answers

Answer:

72,70,72, 71,71,70,69,72,69

I really didn't understand the question or what to do, but I tried.

Step-by-step explanation:

I need help with this ​

Answers

Answer:

i thinck its just 1 and 2

Step-by-step explanation:

what is it to the nearest whole degree? NO DECIMALS !

Answers

Answer:

62 degrees.

Step-by-step explanation:

Decrease £2123 by 8%
Give your answer rounded to 2 DP

Answers

The Decreased amount of  £2123 by 8% is approximately; £1953.16

How to find percentage decrease a value?

We want to decrease £2123 by 8%.

We can do this by the following formula;

Decreased amount = 2123 * (100% - 8%)

Decreased amount = 2123 * 92%

Decreased amount = £1953.16

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Solve the proportion then around your answer to the nearest hundredth

Answers

The answer is 12.1
Have a nice day

Mrs. Nickel puts a variety of wrapped chocolate candies in a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, how many students would be expecting to select a gold-wrapped candy from the bag?

Answers

Answer:

5 students would be expecting to select a gold-wrapped candy from the bag.

Step-by-step explanation:

Since Mrs. Nickel puts a variety of wrapped chocolate candies in a bag, and there are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies, if 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, to determine how many students would be expecting to select a gold-wrapped candy from the bag, the following calculation must be performed:

5 + 1 + 2 + 4 = 12

4 gold-wrapped candies out of 12 in total

4/12

15 x 4/12 = X

15 x 0.333 = X

5 = X

Therefore, 5 students would be expecting to select a gold-wrapped candy from the bag.

Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown hair. Is this an example of inductive or deductive reasoning?
a) Deductive.
b) Inductive.
c) Both deductive and inductive.
d) Neither deductive nor inductive.

Answers

Answer:

b) Inductive

Step-by-step explanation:

It is correct to say that this is an example of inductive reasoning, because the reasoning is based on a situational perception and not on actual logic. Sarah based her reasoning on a premise that if she and her brothers have brown hair, then if she had another brother, he would also have brown hair.

SOMEONE PLEASE ANSWER I NEED THE ANSWER URGENTLY!!!! PLEASE ILL GIVE U BRAINLIEST I JUST NEED ANSWERS!!!
Identify the functions that exhibit a removable discontinuity

Answers

I can’t see anything with the pictures

Which group of numbers could be the measures of the sides of a right
triangle?

Answers

Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Answers

 

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

PLZ AWNSER I HAVE 10 MIN TIMER PLZ HELP ME

Answers

Both ........................

Somebody knows how to do that?

Answers

Answer:

p(g) (85 if  3g)

p(g) (135 if 3g)

p(g) (195 if 6g)

lets move p fwd so that 3+3+2 = 8

8 games = 3(85) + 3(135) + 2(195)

               =  255 + 405 + 390

               =  1050 yards

Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game  = 1050/8 = 131.25 mean or even the range  405-255 = 150 range whilst the median would be 135

Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.

Let me know what the statement choices are and I'd be happy to help.

Step-by-step explanation:

A group of doctors are conducting an experiment to test a new nutritional supplement. They randomly selected 600 subjects, assigning
300 subjects to receive the supplement and 300 subjects to receive a placebo. The doctors are unaware of which subjects are assigned to each
treatment group.
This experiment is
_____because_____
know which treatment group each subject is in.

Answers

Answer:

here in the pic

Step-by-step explanation:

The median age of residents of the United States is 31 years. If a survey of 100 randomly selected U.S. residents is to be taken, use the normal approximation to the binomial distribution to approximate the probability that at least 57 will be under 31 years of age.

Answers

Answer:

P (x≥ 57) = 6.7789 e^-8

Step-by-step explanation:

Here n= 100

p = 31/100 = 0.31

We formulate the null hypothesis that H0: p= 0.31 against the claim Ha: p≠0.31

The significance level is chosen to be ∝= 0.05

The test statistic x to be used is X, the number  U.S. residents is to be taken which is at least 57

The binomial calculator gives the

P (x≥ 57) = 6.7789 e^-8

IF ∝= 0.05 then ∝/2 = 0.025

We observe that P (x≥ 57) is less than 0.025

Hence we reject H0 and conclude that p ≠0.31

This is true because for normal distribution the median = mean which is usually the 50 % of the data.

Please help, I will mark you brainly, thank you if you do

Please explain well
Look at the picture

Answers

Answer:

Vertex: (1/2, 9/2)

the axis of symmetry: 1/2

x-intercept(s): (2,0) , (-1,0)

y-intercept: (0,4)

Step-by-step explanation:

you can search up math.way to solve math problems hope this helped!

     (no dot between it ^) have a good day

What is 5/6 divided by 1/4 in simplest form?

Answers

Answer:..

Step-by-step explanation:

Find the surface area of the sphere.
r = 3 cm
Formulas for Spheres
S.A. = 4tr2
V = grur S.A. = [?] cm2
Round to the nearest tenth.

Answers

The surface area of the sphere is 113 square cm

How to determine the surface area?

The radius is given as:

r = 3 cm

The surface area is calculated as:

[tex]A = 4\pi r^2[/tex]

So, we have:

[tex]A = 4\pi * 3^2[/tex]

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

Read more about surface area at:

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113

Consider the relationship 5r+8t=10 A. write the relationship as a function r=f(t) B. Evaluate f(-5) C. solve f(t)= 26

Answers

Answer:

A) [tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex], B) [tex]f(-5) = 10[/tex], C) [tex]t = -15[/tex] for [tex]f(t) = 26[/tex]

Step-by-step explanation:

A) Let be [tex]f(t) = r[/tex] and [tex]5\cdot r + 8\cdot t = 10[/tex], the latter expression is a function in implicit form and we need to turn it into its explicit form, where [tex]t[/tex] is the independent variable.

[tex]5\cdot r = 10 - 8\cdot t[/tex]

[tex]r = 2 -\frac{8}{5}\cdot t[/tex]

[tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex]

B) If we know that [tex]t = -5[/tex]. then [tex]f(-5)[/tex] is:

[tex]f(-5) = 2 - \frac{8}{5}\cdot (-5)[/tex]

[tex]f(-5) = 10[/tex]

C) If we know that [tex]f(t) = 26[/tex], then we solve for [tex]t[/tex]:

[tex]2 - \frac{8}{5}\cdot t = 26[/tex]

[tex]\frac{8}{5}\cdot t = -24[/tex]

[tex]t = -15[/tex]

What is 17% of 13.00

Answers

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

Can someone plz help with this? Thank you so much.

Answers

Answer:

A. 3

Step-by-step explanation:

[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]

In triangle ABC, the complement of < B is < A.

Which statement is not always true?

Answers

Answer:

[tex](c)\ \tan B = \sin A[/tex]

Step-by-step explanation:

Given

[tex]\angle A + \angle B = 90[/tex] --- Complement angles

See attachment for complete question

Required

Which is not always true

To do this, we simply test each option

[tex](a)\ \sin A = \cos B[/tex]

The above is always true, if A and B are complements.

Examples are:

[tex]\sin(40) = \cos(50)[/tex]

[tex]\sin(90) = \cos(0)[/tex]

etc

[tex](b)\ \sec A = \csc B[/tex]

The above is always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]

Cross Multiply

[tex]\sin B = \cos A[/tex]

This is literally the same as (a)

[tex](c)\ \tan B = \sin A[/tex]

The above is not always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{\sin B}{\cos B} = \sin A[/tex]

Cross multiply

[tex]\sin B = \sin A * \cos B[/tex]

If A and B are complements. then

[tex]\sin A = \cos B[/tex]

So, we have:

[tex]\sin B = \sin A * \sin A[/tex]

[tex]\sin B = \sin^2 A[/tex]

The above expression is not true, for values of A and B

[tex](d) \cot B = \tan A[/tex]

The above is always true, if A and B are complements.

An example is:

[tex]\cot (55) = \tan (25) = 0.7002[/tex]

etc.

if your recipe for minestrone soup call for 3 quart of chicken broth. You have 2 liters. How much more do you need? give answer in quarts.

Answers

approximately 1 more liter, but .84 liters to be exact
1 quart = .95 liters

Can someone help plz I’m stressing!

Answers

The answer is 11 because 22/2 = 11.

Evaluate (3.4x10 4) (4.5x10 3).write your answer in scientific notation

Answers

Answer:

1.5×10^8

Step-by-step explanation:

Scientific notation can be regarded as

way to express large or too small numbers conveniently written in decimal form.

Given (3.4x10 4) (4.5x10 3).

To write your in scientific notation

3.4x10^4) (4.5x10^3)

This is multiplication

(3.4x10^4) ×(4.5x10^3)

(3.4x10^4)= 34000

(4.5x10^3)= 4500

Then multiply

4500 × 34000

= 153000000

= 1.5×10^8

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