I need help with this ​

The given data represents the total square footage in birore of metal storage space showing arter and wir so forth for 10 years. The content of the presion to sy123.44.Com 40 52 51 54 55 67 5.85661 66200436 08531001110211200 1204713000 1626To find: Coefficient of determination and its interpretation.

Coefficient of determination Coefficient of determination is the fraction or proportion of the total variation in the dependent variable that is explained or predicted by the independent variable(s). It measures how well the regression equation represents the data set. The coefficient of determination is calculated by squaring the correlation coefficient. It is represented as r².

The formula to calculate the coefficient of determination is:r² = (SSR/SST) = 1 - (SSE/SST)where, SSR is the sum of squares regression, SSE is the sum of squares error, and SST is the total sum of squares. Substitute the given values in the above formula:r² = (SSR/SST) = 1 - (SSE/SST)SSR = ∑(ŷ - ȳ)² = 10242.62SSE = ∑(y - ŷ)² = 1783.96SST = SSR + SSE = 10242.62 + 1783.96 = 12026.58r² = (SSR/SST) = 1 - (SSE/SST)= (10242.62 / 12026.58)= 0.8525

Therefore, the coefficient of determination is 0.8525.Interpretation of the coefficient of determination: The coefficient of determination value ranges from 0 to 1. The higher the coefficient of determination, the better the regression equation fits the data set. In this case, the value of the coefficient of determination is 0.8525 which means that approximately 85.25% of the total variation in the dependent variable is explained by the independent variable(s).

Therefore, we can say that the regression equation fits the data set well and there is a strong positive relationship between the independent and dependent variables.

Know more about Coefficient:

https://brainly.com/question/1594145

#SPJ11

The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

For more information about the probability,

brainly.com/question/11234923

#SPJ1

Answer:

width: 16, length: 20

Step-by-step explanation:

If the area is 320, then figure out multiples of it

20 and 16 are multiples of 320 and they are 4m apart

Answer:

choice c

Step-by-step explanation:

choice c is correct

Answer:

757112 or 7.57112 x 10^5

Step-by-step explanation:

45 x 7^5 + 809 - 12

45 x 16807 + 809 - 12

756315 + 809 - 12

757124 - 12

757112 or 7.57112 x 10^5

Answer:

U.S users: 142,052

Japan users: 46,558

Step-by-step explanation:

In this question, we are able to create two different equations with the data provided. The first would be the total number of users in the U.S which is the following...

x = 2,378 + 3y

The total number of users in Japan is simply represented as the variable y. The next equation would be the total number of users in both countries combined which would be the following.

188,610 = x + y

Since we already have the equation for x we can simply plug it into this equation and solve for y like so...

188,610 = 2,378 + 3y + y  ... combine like terms

188,610 = 2,378 + 4y  ... subtract 2,378 from both sides

186,232 = 4y  ... divide both sides by 4

46,558 = y

Now we have the total number of users in Japan (y) and can plug this value into the U.S users equation to calculate the total number of U.S users...

x = 2,378 + 3y

x = 2,378 + 3(46,558)

x = 2,378 + 139,674

x = 142,052

The expression 3x − 6 = 2(x + 4) has one solution of x which is 10

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph

For the given problem, 3x − 6 = 2(x + 4) the solution is sort as thus

3x − 6 = 2(x + 4)

expanding the parenthesis

3x − 6 = 2x + 4

collecting like terms by subtracting 2x from both sides and adding 6 on both sides will result to the equation below

3x - 2x = 6 + 4

x = 10

Learn more about linear functions at:

https://brainly.com/question/29225098

#SPJ1

the percentage of information remembered at the moment it is first learned is 100%.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.

Your question is incomplete but most probably your full question was:

In college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. The function f(x) = 80e-0.5x + 20

describes the percentage of Q. information, p, that a particular person remembers x weeks after learning the information. Substitute 0 for x and find the percentage of information remembered at the moment it is first learned.

a 100%

b 95%

c 90%

Learn more about remembering information at https://brainly.com/question/1236975.

#SPJ4

Answer:

x=3

Step-by-step explanation:

2(4-3x)+5(2x-3)=20-5x

8-6x + 10x - 15= 20-5x

subtract 8 from 15

subtract 6x from 10x getting you

4x-7= 20-5x

add 5x to both sides

add 7 to both sides

getting you

9x=27

divide by 9 to both side getting you x=3

False,False,True,False,True respectively.

The statement is false. Simultaneous increase or decrease in variables does not necessarily imply a causal effect. Causal effect requires establishing a relationship where changes in one variable directly affect the other.

The statement is false. While econometric models can be derived from formal economic models, they can also be based on empirical data or theoretical considerations. Valid conclusions can be drawn as long as the econometric model is correctly specified and meets the necessary statistical assumptions.

The statement is true. In a time series, the ordering of observations is crucial as it reflects the temporal dimension of the data. The sequence of events can reveal patterns, trends, and seasonality, which are essential for understanding and analyzing time-dependent phenomena.

The statement is false. Statistical significance is determined by comparing the p-value (probability of obtaining the observed result by chance) with the significance level (often denoted as alpha). If the p-value is smaller than the significance level, the result is considered statistically significant, indicating evidence against the null hypothesis.

The statement is true. Consistency refers to the property of an estimator to approach the true parameter value as the sample size increases. In other words, if an estimator is consistent, its expected value will equal the true parameter value for all possible values of the true parameter as the sample size grows indefinitely. Consistency is a desirable property of estimators as it ensures accuracy and reliability in estimating population parameters.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

It's essential to carefully analyze the given integrals and their individual terms to determine their convergence or divergence.

The given statements are as follows:

integral^infinity _1 dx/x + e^9x is convergent because 1/x + e^9x ≤ 1/x and integral^infinity _1 dx/x is convergent. (Statement A)

integral^infinity _1 dx/x + e^9x is convergent because 1/x + e^9x ≤ 1/e^9x and integral^infinity _1 dx/e^9x is convergent. (Statement B)

integral^infinity _1 dx/x - e^9x is divergent because 1/x - e^9x ≥ 1/x and integral^infinity _1 dx/x is divergent. (Statement C)

integral^infinity _1 dx/x + e^9x is divergent because 1/x + e^9x ≤ 1/x and integral^infinity _1 dx/x is divergent. (Statement D)

Let's analyze each statement one by one:

Statement A: integral^infinity _1 dx/x + e^9x is convergent because 1/x + e^9x ≤ 1/x and integral^infinity _1 dx/x is convergent.

This statement is FALSE. The given integral, ∫(from 1 to infinity) dx/(x + e^9x), is divergent. The reasoning that 1/x + e^9x is less than or equal to 1/x does not hold for the integral. The behavior of the function within the integral is different from the individual terms.

Statement B: integral^infinity _1 dx/x + e^9x is convergent because 1/x + e^9x ≤ 1/e^9x and integral^infinity _1 dx/e^9x is convergent.

This statement is TRUE. By comparing 1/x + e^9x to 1/e^9x, we can see that 1/x + e^9x is smaller for large x. If ∫(from 1 to infinity) dx/e^9x is convergent, then adding a larger function, 1/x, to it would not affect its convergence. Therefore, the given integral is convergent.

Statement C: integral^infinity _1 dx/x - e^9x is divergent because 1/x - e^9x ≥ 1/x and integral^infinity _1 dx/x is divergent.

This statement is FALSE. The given integral, ∫(from 1 to infinity) dx/(x - e^9x), is divergent. The reasoning that 1/x - e^9x is greater than or equal to 1/x does not hold for the integral. The behavior of the function within the integral is different from the individual terms.

Statement D: integral^infinity _1 dx/x + e^9x is divergent because 1/x + e^9x ≤ 1/x and integral^infinity _1 dx/x is divergent.

This statement is FALSE. Similar to Statement A, the given integral, ∫(from 1 to infinity) dx/(x + e^9x), is divergent. The reasoning that 1/x + e^9x is less than or equal to 1/x does not hold for the integral.

In summary:

Statement A is FALSE.

Statement B is TRUE.

Statement C is FALSE.

Statement D is FALSE.

Learn more about convergence or divergence

brainly.com/question/31778047

#SPJ11

The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

To learn more about Utility visit

https://brainly.com/question/33639581

#SPJ4

The ball will take around 1.6 seconds to hit the ground when dropped from shoulder height at the top of the 35-foot tall building, considering a gravitational acceleration of 32.2 feet per second squared.

To find the time it takes for the ball to hit the ground, we can use the equations of motion under constant acceleration. The acceleration due to gravity near the surface of the Earth is approximately 32.2 feet per second squared.

First, let's calculate the total distance the ball needs to travel from the top of the building to the ground. The total height is the height of the building plus Carmine's height, which is 35 feet + 5 feet = 40 feet.

Next, we can use the equation:

\(s = ut + (1/2)at^2\)

where:

s = distance (40 feet)

u = initial velocity (0 feet per second since the ball is at rest)

a = acceleration (-32.2 feet per second squared, taking negative because the ball is moving downward)

t = time (unknown)

Plugging in the values:

\(40 = 0t + (1/2)(-32.2)t^2\)

Simplifying the equation:

\(40 = -16.1t^2\)

Dividing both sides by -16.1:

\(t^2 = -2.48\)

Since time cannot be negative in this context, we discard the negative solution. Taking the square root of the positive solution:

t ≈ 1.57 seconds

Therefore, it will take approximately 1.6 seconds (rounded to the nearest tenth) for the ball to hit the ground when dropped from shoulder height at the top of the building.

Learn more about height here: https://brainly.com/question/29131380

#SPJ11

The complete question is:

Carmine drops a ball at shoulder height from the top of a building (building is 35 feet tall, Carmine is 5 feet tall). If the ball is at rest, and is simply dropped, how long will it take, to the nearest tenth of a second, to hit the ground?

Answer:

Because she found it improves division.

Step-by-step explanation:

Answer: $.075 per pound

Step-by-step explanation:

You divide $6 (total cost) by 8 pounds to find the cost per pound

Answer:

x = 7

Step-by-step explanation:

First subtract 3 from both sides to get -x = -7. Now divide -1 from both sides to get x = 7.

Hope it helps!

Answer:

y = (1+cos x)/sin x

Step-by-step explanation:

Tìm tập xác định của các hàm số

The average rate of change of f(x) from x = 2 to x = 6 is 1.

In mathematics, a function is a rule that associates each element in one set (called the domain) to a unique element in another set (called the range). Functions are one of the most important concepts in mathematics and have a wide range of applications in various fields.

A function is usually denoted by a letter, such as f(x), where x is an element in the domain and f(x) is the corresponding element in the range. The domain of a function is the set of all possible values of x for which the function is defined, and the range is the set of all possible values of f(x).

To calculate the average rate of change of a function f(x) over an interval [a, b], we use the formula:

Average rate of change = [f(b) - f(a)] / (b - a)

a. x = 2 to x = 6

To find the average rate of change of f(x) from x = 2 to x = 6, we need to compute:

Average rate of change = [f(6) - f(2)] / (6 - 2)

From the graph, we can see that f(6) = 3 and f(2) = -1. Therefore:

Average rate of change = [3 - (-1)] / (6 - 2) = 1

So the average rate of change of f(x) from x = 2 to x = 6 is 1.

To know more about rate visit:

https://brainly.com/question/199664

#SPJ1

Answer:

The equation of the line is;

Explanation:

Given that

the slope of a line is -2 and it passes through the point (4,-5).

Applying the slope-intercept form of equation;

Substituting the values of the slope and coordinates;

Therefore, the equation of the line is;

Answer:

2x + y = 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (4, - 5 ) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = - 2x + 3 ← in slope- intercept form

add 2x to both sides

2x + y = 3 ← equation in standard form

The options are analyzed as follows:

1: The overline 0.729 means:

This is a non- terminating recurring decimal hence it is rational.

2: The nuumber 0.0195347... is a non terminating and non recurring decimal hence it is irrational.

3. The number -12 is rational since it is an integer.

4.The number 4.565656... is a non terminating recurring decimal hence it is rational.

5. The number given by:

Since square root of 2 is irrational and 3 is rational the product is irrational.

Also the decimal is non terminating non recurring hence it is irratonal.

So the options 2 and 5 are irrational.

Answer:

4.44

Step-by-step explanation:

divide $17.76 by 4

Answer:

$4.89

Step-by-step explanation:

to find the value of the poster after the sale we divide 7.08 by 2

and get 3.54. Next we want to 1.35 to the amount to find the value of a poster before the sale because that is the amount of money that took off

3.54+1.35=4.89 so the posters cost 4.89 before the sale

Answer:

x = 25

Step-by-step explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

Answer:

Answer:

x = 25

explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

hope this helps :)

If the probability, P(t) of a student joining the track team is 0.52, and the probability P of a student joining the track team and playing soccer is 0.16, the probability P(s) that the student will play soccer is 0.31.

Probability the student joining the track, P(t) = 0.52

Probability the student joining the track team and playing soccer, P = P(t) × P(s) = 0.16

As both are supposed to happen simultaneously, that is together the probability is the product of individual probabilities.

Therefore the probability that the student play soccer can be obtained by

P(s) = P/ P(t)

= 0.16/ 0.52

= 4/ 13

≈ 0.31

To know more on probability

https://brainly.com/question/23616334

#SPJ4

Yes, g has a maximum and minimum on the set S.

Since S is a closed and bounded interval, by the Extreme Value Theorem, any continuous function on S will have both a maximum and minimum value. Therefore, g, defined on S, will have both a maximum and minimum value.

To find the global maxima and minima of g on the set S, we need to analyze the function g(x). However, since no specific function is defined for g, we cannot determine the exact maxima and minima values without further information. We can make some general observations about g(x) on S. Firstly, since S includes both negative and positive values, g(x) could be a piecewise function that changes at x = 0. Secondly, the behavior of g(x) will depend on the specific function used to define it. For example, if g(x) = x^2, then g(x) will have a minimum value of 0 at x = 0 and a maximum value of 100 at x = 10 or x = -10. Similarly, if g(x) = -x^3, then g(x) will have a maximum value of 1000 at x = 10 and a minimum value of -1000 at x = -10.

To know more about set visit :-

https://brainly.com/question/30705181

#SPJ11

a) Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = 3.315%

c) After tax cost of debt of 3.135% is more relevant.

Given:

FV = 100

Semiannual bond issued 3 years ago

Maturity = 27

Price, PV = 104

coupon rate = 4.5%

Tax rate = 22%

a) Semiannual bond issued 3 years ago

Maturity, n = 27 years × 2 = 54

Coupon C = 4.5%/2×100 = 2.25

Now,

Pretax cost of debt,

Cost of debt, I = [C+(FV-PV)/n] / (FV+PV)/2

= [2.25 +(100 - 104)/54] / [ 100+1040/2

= 2.12%

= 2.12×2

Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = cost of debt × (1-T)

= 4.25% × (1-22%)

After tax cost of debt = 3.315%

c) After tax cost of debt is more relevant.

Hence we get the required answer.

Learn more about Tax here:

brainly.com/question/9437038

#SPJ4

16(9) = 7   144 = 7Since this equation is not trueTo find y'(16) using implicit differentiation, we'll differentiate both sides of the equation with respect to x and solve for y'.

Given:

√x √y = 7

xy = 7

y(16) = 9

Let's differentiate both sides of the equation √x √y = 7 with respect to x using the chain rule:

d/dx (√x √y) = d/dx (7)

Using the chain rule:

(1/2) √y + (1/2√x)(dy/dx) = 0

Now let's differentiate both sides of the equation xy = 7 with respect to x:

d/dx (xy) = d/dx (7)

Using the product rule:

y + x(dy/dx) = 0

We are given y(16) = 9, which means when x = 16, y = 9.

Substituting x = 16 and y = 9 into the equation xy = 7:

16(9) = 7

144 = 7

Since this equation is not true .

To learn more about  differentiation click here:

brainly.com/question/31392613

#SPJ11

Answer:

Pentagon

Step-by-step explanation:

A quadrilateral must have four angles and four verticies. A pentagon does not have 4 verticies, but 5.

Answer:

its a pentagon-

oOooOOOooOOOooh gOooOOooOOnn

Step-by-step explanation:

Tim could fill the 18-litre bucket in 22.5 times.

To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.

The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.

The proportion will be:

12 litres / 15 times = 18 litres / x times

12x = 15 * 18

12x = 270

x = 270 / 12

x = 22.5.

Read more about proportion

brainly.com/question/1496357

#SPJ1