Data Analysis (20 points)

Dependent Variable: Y Method: Least Squares
Date: 12/19/2013 Time: 21:40 Sample: 1989 2011
Included observations:23
Variable Coefficient Std. Error t-Statistic Prob.
C 3000 2000 （ ） 0.1139
X1 2.2 0.110002 20 0.0000
X2 4.0 1.282402 3.159680 0.0102

R-squared ( ) Mean dependent var 6992
Adjusted R-square S.D. dependent var 2500.

S.E. of regression （ ） Akaike info criterion 19.

Sum squared resid 2.00E+07 Schwarz criterion 21

Log likelihood -121 F-statistic （ ）

Durbin-Watson stat 0.4 Prob(F-statistic) 0.001300

Using above E-views results：:

Put correct numbers in above parentheses（with computation process）

(12 points)

(2)How is DW statistic defined? What is its range? (6 points)

（3） What does DW=0.4means? (2 points)

Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:

I am pretty sure it is 212

Step-by-step explanation:

636 divided by three is 212

The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.

To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.

The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.

Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:

θ = arcsin(opposite / hypotenuse)

θ = arcsin(1.2 / 4000)

θ ≈ 0.000286478 radians

To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:

Arc measure (in degrees) = θ * (180 / π)

Arc measure ≈ 0.000286478 * (180 / π)

Arc measure ≈ 0.0164 degrees

Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

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Answer:18

Step-by-step explanation:

Answer:

58.03 ft

Step-by-step explanation:

To solve for the total circumference of circle F, we can create a ratio of section angle measure to circumference. We know that these two attributes of a circle have a linear relationship because the formula for arc length (\(S = 2\pi r \cdot \frac{\theta}{360\°}\)) relies proportionately on the radius and angle measure of the section.

angle measure : circumference

               290°   :   46.75 ft

We can multiply this ratio by \(\frac{360}{290}\) to get the corresponding circumference for a 360° section (which is the entire circle).

\(\frac{360}{290}(290\° : 46.75 \text{ ft})\)

\(= 360\° : \boxed{58.03 \text{ ft}}\)

Therefore, the circumference of circle F is approximately 58.03 ft.

Answer:

a number of ways

Step-by-step explanation:

tyg

Answer:

120 choices

Step-by-step explanation:

giving 5×4×3×2×1=120 choices for arranging the books (from left to right).

Answer:

7/8 x 1/3 is 7/24

Step-by-step explanation:

Multiple: 7/8 * 1/3 = 7 · 1/8 · 3 = 7/24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(7, 24) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seven eighths multiplied by one third is seven twenty-fourths.  

Dissatisfied customers are likely to share their negative experiences with an average of 9-15 people, but with the reach of social media, their impact can be significantly amplified, potentially influencing a wider audience and damaging a salesperson's reputation and sales.

When dissatisfied with a product or service, customers are more likely to share their negative experiences with others. The exact number of people they may tell can vary, but it's often cited that dissatisfied customers will share their negative experiences with an average of 9 to 15 other people.

This number can increase significantly in the age of social media, where dissatisfied customers have the ability to reach a much larger audience through online platforms and reviews. Therefore, it's crucial for salespeople to address customer concerns and ensure customer satisfaction to prevent negative word-of-mouth and potential damage to their reputation.

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The probability of rolling a higher number on the second roll is 15/36 or approximately 0.42.

When rolling a die, each roll has an equal chance of landing on any of the six possible outcomes. Therefore, the probability of rolling any specific number on the first roll is 1/6, and the probability of rolling a number higher than the first on the second roll is also 1/6.

To find the probability of both events happening, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is equal to the product of their individual probabilities.

So, the probability of rolling a number on the first roll and then rolling a higher number on the second roll is:

P = (1/6) x (1/6)

However, since the question doesn't specify a particular number for the first roll, we need to consider all the possible outcomes for the first roll. These outcomes are mutually exclusive and have an equal chance of happening, so we can add their probabilities to find the overall probability of rolling a higher number on the second roll:

P = (1/6) x (5/6) + (1/6) x (4/6) + (1/6) x (3/6) + (1/6) x (2/6) + (1/6) x (1/6) + (1/6) x 0

Simplifying this expression, we get:

P = 15/36

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Pa brainliest po thanks

Answer:

The third one because you just look at the x values of each dot. it isn't the fourth because domain does not include y values.

The Given Quadratic Equation is bx + c = 0

\( \sf \: so \: \: \: \: \: a = 9 \: \: \: \: \: \: \: \: \: \: b = 7 \: \: \: \: \: \: \: \: c = - 2\)

We Know That Determinant (D) = b²– 4ac

The Determinant of The Equation is Positive So,

The Expression Contains Real Root.

Answer:

7 divided by 1/3 is 21

Step-by-step explanation:

Answer:

$90.37 will be her balanced after she pays her bill and after she gets her paycheck

Step-by-step explanation:

1. add 437.23+236.12=673.35

2. subtract 673.35-582.98= 90.37 and that is your answer

Answer:

D

Step-by-step explanation:

In 3 weeks the stock decreased 60 + 10 + 20 = 90 cents so it decreased about 90 / 3 = 30 cents per week so it is D.

Answer:

The answer is D

Step-by-step explanation:

I took the test.

Answer:

Hey there!

Let x be the number.

Thus, we have \((x-9)^3\)

Hope this helps :)

Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

To calculate Tom's new average, you need to know the total number of runs he scored in the three matches and the total number of runs he scored in the recent two matches.

You can use the following formula to calculate the new average:

New Average = (Total Runs + Recent Runs) / Total Matches

First you need to find the total runs he scored in the first 3 matches:

74 (average) * 3 (number of matches) = 222 runs

Then you need to find the total runs he scored in the recent two matches:

42 (runs in match 1) + 31 (runs in match 2) = 73 runs

Now you can find the new average by adding the total runs in recent two matches and total runs in the first 3 matches and divide it by the total number of matches:

(222 + 73) / 5 = 295 / 5 = 59

So, Tom's new average is 59 runs.

Answer: 59

Step-by-step explanation:

Please refer to the image below:

The domain of the function f(x) = 5 + √(7x + 49) is x ≥ -7. The range of the graph of h(0) is (-∞, 12).

To determine the domain of the function f(x) = 5 + √(7x + 49), we need to consider the values of x for which the expression under the square root is defined. In this case, the expression 7x + 49 must be non-negative (since we can't take the square root of a negative number). Therefore, we solve the inequality:

7x + 49 ≥ 0

Subtracting 49 from both sides:

7x ≥ -49

Dividing both sides by 7:

x ≥ -7

So the domain of f(x) is x ≥ -7.

Regarding the range of the graph of h(0), we need to evaluate the function at x = 0. Plugging in x = 0 into the expression for h(x), we get:

h(0) = 5 + √(7(0) + 49) = 5 + √49 = 5 + 7 = 12

Therefore, the range of the graph of h(0) is (-∞, 12).

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Risk probability, risk impact and risk exposure are all fundamental concepts to the concept of risk management. The relationship between them is that they are all interrelated, meaning that they affect each other in different ways. Here is a detailed description of the relationship between risk probability, risk impact, and risk exposure:

Risk Probability: It refers to the likelihood of a risk occurring. In simple terms, it is the probability that a particular risk will happen. Risk probability can range from low to high, with low indicating that the probability of a risk happening is low and high indicating that the likelihood of a risk happening is high.

Risk Impact: It is the consequence of a risk happening. It refers to the potential loss or damage that could be caused if the risk occurs. Risk impact can be negative or positive, depending on the risk involved. A negative risk impact is usually associated with a negative consequence, while a positive risk impact is usually associated with a positive consequence.

Risk Exposure: It refers to the amount of risk that an organization or project is exposed to. It is the total amount of risk that an organization or project faces. Risk exposure is determined by the probability of the risk happening and the impact that it could have. It is usually expressed in monetary terms.

The relationship between these three concepts is that risk exposure is a function of risk probability and risk impact. In other words, the more likely a risk is to occur, and the more significant the consequences of that risk are, the greater the risk exposure. Therefore, by managing the risk probability and risk impact, an organization or project can reduce its risk exposure.

Also, managing the risk exposure is vital as it helps in reducing the overall risk for an organization or project. Therefore, it is essential to understand the relationship between risk probability, risk impact, and risk exposure to be able to manage risk effectively.

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Log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

To evaluate log4 27 using the change of base formula, we need to write it in terms of a common base, such as base 10 or base 2. Let's use base 10:
log4 27 = log10 27 / log10 4

Now we need to find the logarithms of 27 and 4 in base 10:
log10 27 = 1.431
log10 4 = 0.602

Substituting these values into the formula, we get:
log4 27 = 1.431 / 0.602 = 2.38

So log4 27 is approximately 2.38.

To convert log4 27 to a logarithm in base 2, we use the change of base formula again, this time with base 2:
log4 27 = log2 27 / log2 4

Now we need to find the logarithms of 27 and 4 in base 2:

log2 27 = 4.754
log2 4 = 2

Substituting these values into the formula, we get:
log4 27 = 4.754 / 2 = 2.377

Rounding to the nearest thousandth, we get:

log4 27 ≈ 2.377

Therefore, log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

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Answer:

In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.

Also In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Step-by-step explanation:

Most websites of information talk about this, but a simple example is " 1 : the perimeter of a circle The circle measures 22 inches in circumference. 2 : the external boundary or surface of a figure or object : periphery from the center to the circumference of the sphere."

Hope this helps, have a good day.

:)

The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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The standard deviation of ages in the room increases, while the median of ages stays approximately the same.

Standard deviation is a measure of the variability of a set of data points. The addition of a 30-year-old mother and an infant to the group of ten five- and six-year-olds increases the spread of the ages, thus increasing the standard deviation.

The median, on the other hand, is the middle value in a set of data points. Since the median only depends on the order of the values, not their magnitude, adding a mother and an infant to the group of children does not significantly affect the median age in the room, which would still be close to 5 or 6 years old.

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When the level of significance is 0.07, the corresponding confidence level is 93%.

The level of significance (α) in statistical hypothesis testing represents the probability of rejecting the null hypothesis when it is actually true. In contrast, the confidence level represents the degree of certainty or reliability we have in the estimated results from a statistical analysis.

The confidence level is calculated as the complement of the level of significance, subtracted from 1. In this case, if the level of significance is 0.07, we subtract it from 1 to find the confidence level:

Confidence level = 1 - level of significance

Confidence level = 1 - 0.07

Confidence level = 0.93 or 93%

Therefore, when the level of significance is 0.07, the corresponding confidence level is 93%. This means that we can be 93% confident that the estimated results from a statistical analysis will fall within the desired range, while allowing for a 7% chance of Type I error (rejecting the null hypothesis when it is true).

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