The error variance can be Illustrated as σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b0 + b1x))^2
How to illustrate the error variance?The simple linear regression model is of the form:
y = b₀ + b₁x + μ
y = the dependent variable
x = the independent variable
b₀ and b₁ = the parameters of the model, and μ is the error term.
The error term represents the difference between the observed value of the dependent variable and the value predicted by the model. In other words, it is the deviation of the observed y from the expected value of y, given the value of x.
The error variance, denoted by σ^2, is a measure of the spread of the error term. It is calculated as the average squared deviation of the error term from its mean value, which is zero:
σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b₀ + b₁x))^2
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Complete question
Given the simple linear regression model y=b0+b1xi+µ, derive the error variance.
what is visual literacy?
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 11^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answer:22bb square roots
Explanation:none
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. The distance from point AA to point BB is -1114.01 feet.
What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or places.
The distance of point A from the lighthouse = 1023 feet
The angle of elevation from point A to the lighthouse = 11°
The angle of elevation from point B to the lighthouse = 2°
tanΘ = opposite side to angle / adjacent side to the angle
tan7° = height from sea to the lighthouse / 1023 feet
Height to the lighthouse = tan(11°) × 1023 feet
0.1944 x 1023 feet = 198.8712
For point B
tan3° = 198.8712 feet
Horizontal distance = 198.8712 / tan3°
tan3° = -2.1850
Horizontal distance = 198.8712 / -2.1850 = -91.0165
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B
-91.0165 - 1023 feet = -1114.01
Therefore, the distance from point AA to point BB is -1114.01 feet.
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In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the (104,12.5) distribution. The heart rates for male nonrunners after the same exercise have the (130,17) distribution.
(a) What percent of the runners have heart rates above 140?
Percentage for the runners with heart rate of above 140 is 50.199% probability.
How to calculate heart rate probability?To calculate percentage of runners heart rate;
Mean, μ = 104
Standard deviation, σ = 12.5
Probability = P(X > 140)
P(X > 140) = [tex]1 - P (\frac{X - μ}{σ} \leq \frac{140 - μ}{σ})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \frac{140 - 104}{12.5})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \ 2.88)[/tex]
For a Z score of 2.88, the cumulative from mean probability and percentile are:
The normal distribution for 2.88 = 0.49801
P(X > 140) = 1 - 0.49801
P(X > 140) = 0.50199
P(X > 140) = 0.50199 x 100
The percentage for the heart rate = 50.199%
The probability of of runners heart rate above 140 is a 50.199% chance.
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Country Q has an unemployment rate of 7% with GDP growth of .2 and -2% inflation over the past 12 month. What should be central bank of country Q do in response to these economic indicators?
The central bank of a country controls the amount of money in circulation in order to maintain the health of the economy. Banks can regulate the amount of money in circulation by manipulating interest rates.
What part do central banks play in a nation's economic system's stabilization?Economic and financial stability is largely dependent on central banks. In order to achieve low and stable inflation, they implement monetary policy. Following the global financial crisis, central banks have added more tools to their arsenals to address threats to financial stability and control fluctuating exchange rates.
What part does the central bank play in the growth of the economy?In developing nations, a central bank can be extremely important in creating the financial foundation for growth. A clear and significant activity that falls under this category is the development of local currency and the capital market.
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Correct the 3 grammatical errors (a/an/the) in the text below.
Once a year, the college goes on a expedition trip to do charity work abroad. Last year’s trip was to help set up the community garden in South America. This year’s trip will be to Kenya. The trips are expensive, but students can save an lot of money by working together and doing fundraising events
Answer:
Once a year, a college goes on an expedition trip to do charity work abroad. Last year’s trip was to help set up a community garden in South America. This year’s trip will be to Kenya. The trips are expensive, but students can save a lot of money by working together and doing fundraising events.
Write an argumantive essay for or against viewing sports figures and celebrities as positive role models. please help a ASAP I need to write a 150 word essay
Answer:
Sports figures and celebrities have long been viewed as positive role models for many people. On the one hand, they have the power to inspire and motivate others to achieve their goals, as well as provide a sense of belonging to those who look up to them. For example, athletes can demonstrate the importance of hard work, dedication, and discipline needed to succeed in any field. Furthermore, celebrities can show that one can become successful despite their background or circumstances. On the other hand, there are some drawbacks to viewing sports figures and celebrities as role models. For example, they often live extravagant lifestyles and may not be the best examples of how to handle money responsibly. Additionally, their behavior may not be the best representation of the values that should be instilled in young people. Ultimately, while sports figures and celebrities can be inspiring, it is important to remember that they should not be viewed as role models in all aspects of life.
Explanation:
In paragraph 9, why does Paul Ryan tell his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns"?
Paul Ryan tells his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns" in order to illustrate that he can connect to a variety of people.
What is the significance of the connection between people?Social connection can lower anxiety and depression, help us regulate our emotions, lead to higher self-esteem and empathy, and actually improve our immune systems. By neglecting our need to connect, we put our health at risk.
Paul Ryan represents a part of America that includes inner cities, rural areas, suburbs, and factory towns. Over the years I have seen and heard from a lot of families, from those running small businesses, and from people who are in need.
Therefore, Paul Ryan tells his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns" in order to illustrate that he can connect to a variety of people.
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3) What is the first indication for Franz that a major conflict is developing?
A) The atmosphere at school is oddly quiet and still.
B) M. Hamel is speaking quietly and sadly rather than yelling.
C) Prussian soldiers are drilling along his route to school.
D) M. Hamel is wearing his special green outfit.
The first indication for Franz that a major conflict is developing include the following: C) Prussian soldiers are drilling along his route to school.
What is a conflict?A conflict can be defined as any form of misunderstanding, disagreement, or struggle that arises between two (2) or more parties such as the members of a team, employees, etc., especially due to any of the following reasons;
Differing or diverging opinions and perspectives.An incompatibility.SuperiorityA difficult challenge.An opposing view.In this context, we can reasonably infer and logically deduce that the first indication for Franz to know that a major conflict is developing would be an information which states that the Prussian soldiers are drilling along the route to Franz's school.
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help plsssssssssssssssssssssss
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Answer:
igneous rocks
i need help with this ty!
Answer: oxygen
Explanation:
. {(-8, 7), (-8, -6), (-1, 7), (6, 4), (7, -8)} function o no
Answer:
it does
Explanation: