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Q: Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?
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What is correlation. What are the different types of correlation. Why is it important to determine correlation. What does it mean when it is said that two variables have no correlation?

A correlation is the relationship between two variables.Correlations are described as either weak or strong, and positive or negative, however there can be a perfect correlation between variables, or no correlation between variables.It is important to determine the correlation between variables in order to know if and how strongly one variable affects another variable (if one variable changes, how will the other variable react). This is done by determining the coefficient of correlation (r), which describes the strength of the relationship between variables and the direction.-1 is less than or equal to r, r is less than or equal to +1if r= +1 or -1, there is a perfect relationshipif r= 0 there is no relationship between the variables, meaning that one variable does not affect the other variable and one variable could change without any change to the other variable.a value closer to + or - 1 demonstrates a strong relationship, while a value closer to 0 demonstrates a weak relationship.a + value demonstrates that when one variable increases the other variable increases, while a - value demonstrates that when one variable increases the other variable decreases.* * * * *Mostly a very good answer but ...It is very important to understand that correlation is not the same as relationship. Consider the two variables, x and y such that y = x2 where x lies between -a and +a. There is a clear and well-defined relationship between x and y, but the correlation coefficient r is 0. This is true of any pair of variables whose graph is symmetric about one axis.Conversely, a high correlation coefficient does not mean a strong relationship - at least, not a strong causal relationship. There is pretty strong correlation between my age and [the log of] the number of television sets in the world. That is not because TV makes me grow old nor that my ageing produces TVs. The reason is that both variables are related to the passage of time.


How do you do derivatives?

Take the exponent and multiply it by the coefficient (or 1 if there is no coefficient) then subract 1 from the exponent. For example, the derivative of 2x^3 is 6x^2 If there is no exponent, for example, 2x the derivative is 2 because the exponent is actually 1 which produces the same coefficient and the exponent 0 meaning there is no x.


What is a coefficient in a equation?

The coefficients in a chemical equation represent the amount of moles of each substance involved in the reaction. On a smaller level, it also represents the amount of particles that have to collide or are produced in the reaction. Consider the following example: CH4(g) + 2O2(g) (arrow) 2H2O(l) + CO2(g) The coefficent behind oxygen in the reactants means that 2 molecules of oxygen have to collide with 1 molecules of methane to react. The coefficients in the products mean that this reaction produces 2 molecules of water and 1 molecule of carbon dioxide.


Suppose the scatterplot of log y on x produces a correlation close to 1 then will the difference between consecutive values of y for equal x-intervals be approximately constant?

No. The ratio of consecutive values of y for equal x-intervals will be approx constant.


Explain why a production possibilities curve is concave?

Because when one produces one product, the opportunity cost of the other product increases i.e. the concave represents the increasing opportunity cost with the production of a good.

Related questions

Which correlation coefficient indicates the strongest relation between two variables?

Generally speaking it is the coefficient that produces a ratio between variables of 1:1. If the variables are of a dependent/independent framework, I find that Chronbach's or Pearson's produces the most accurate (desirable) results. Hope this helps for answering a very good question for what appears to be n enthusiastic novice investigator.


What is correlation What are the different types of correlation Why is it important to determine correlation What does it mean when it is said that two variables have no correlation?

A correlation is the relationship between two or more variables. Correlations are described as either weak or strong, and positive or negative. There can be a perfect correlation between variables, or no correlation between variables. It is important to determine the correlation between variables in order to know if and how closely changes in one variable are reflected by changes in another variable. This is done by determining the coefficient of correlation (r), which describes the strength of the relationship between variables and the direction. -1 ≤ r ≤ +1 if r= +1 or -1, there is a perfect correlation if r= 0 there is no correlation between the variables. a value closer to + or - 1 demonstrates a strong correlation, while a value closer to 0 demonstrates a weak correlation. a + value demonstrates that when one variable increases the other variable increases, while a - value demonstrates that when one variable increases the other variable decreases. However, it is very important to understand that correlation is not the same as relationship. Consider the two variables, x and y such that y = x2 where x lies between -a and +a. There is a clear and well-defined relationship between x and y, but the correlation coefficient r is 0. This is true of any pair of variables whose graph is symmetric about one axis. Conversely, a high correlation coefficient does not mean a strong relationship - at least, not a strong causal relationship. There is pretty strong correlation between my age and [the log of] the number of television sets in the world. That is not because TV makes me grow old nor that my ageing produces TVs. The reason is that both variables are related to the passage of time.


What is located at the center of a chemical equation?

The arrow, which represents "produces" or "yields".


What is correlation. What are the different types of correlation. Why is it important to determine correlation. What does it mean when it is said that two variables have no correlation?

A correlation is the relationship between two variables.Correlations are described as either weak or strong, and positive or negative, however there can be a perfect correlation between variables, or no correlation between variables.It is important to determine the correlation between variables in order to know if and how strongly one variable affects another variable (if one variable changes, how will the other variable react). This is done by determining the coefficient of correlation (r), which describes the strength of the relationship between variables and the direction.-1 is less than or equal to r, r is less than or equal to +1if r= +1 or -1, there is a perfect relationshipif r= 0 there is no relationship between the variables, meaning that one variable does not affect the other variable and one variable could change without any change to the other variable.a value closer to + or - 1 demonstrates a strong relationship, while a value closer to 0 demonstrates a weak relationship.a + value demonstrates that when one variable increases the other variable increases, while a - value demonstrates that when one variable increases the other variable decreases.* * * * *Mostly a very good answer but ...It is very important to understand that correlation is not the same as relationship. Consider the two variables, x and y such that y = x2 where x lies between -a and +a. There is a clear and well-defined relationship between x and y, but the correlation coefficient r is 0. This is true of any pair of variables whose graph is symmetric about one axis.Conversely, a high correlation coefficient does not mean a strong relationship - at least, not a strong causal relationship. There is pretty strong correlation between my age and [the log of] the number of television sets in the world. That is not because TV makes me grow old nor that my ageing produces TVs. The reason is that both variables are related to the passage of time.


How do you do derivatives?

Take the exponent and multiply it by the coefficient (or 1 if there is no coefficient) then subract 1 from the exponent. For example, the derivative of 2x^3 is 6x^2 If there is no exponent, for example, 2x the derivative is 2 because the exponent is actually 1 which produces the same coefficient and the exponent 0 meaning there is no x.


When did j f Kenn edy said great crisis produces great men?

John F. Kennedy did not say "Great crisis produces great men." However, he did say, "When written in Chinese, the word 'crisis' is composed of two characters. One represents danger and the other represents opportunity."


What is a coefficient in a equation?

The coefficients in a chemical equation represent the amount of moles of each substance involved in the reaction. On a smaller level, it also represents the amount of particles that have to collide or are produced in the reaction. Consider the following example: CH4(g) + 2O2(g) (arrow) 2H2O(l) + CO2(g) The coefficent behind oxygen in the reactants means that 2 molecules of oxygen have to collide with 1 molecules of methane to react. The coefficients in the products mean that this reaction produces 2 molecules of water and 1 molecule of carbon dioxide.


Which article title represents a citation under the News results?

Princeton Paleontologist Produces Evidence for New Theory on Dinosaur Extinction"


What article title represents a citation under the News results?

Princeton Paleontologist Produces Evidence for New Theory on Dinosaur Extinction"


How much friction thick carpet produces?

It doesn't work that way - friction is not something that is "produced". The way it works is that you have a coefficient of friction for two surfaces that are in contact. Then you use that coefficient of friction, and multiply it by the normal force, to calculate the actual FORCE of friction.For the coefficient of friction, you need to specify a PAIR of substances; for example, carpet against glass would probably have less friction than carpet against rubber.


Why do opportunity cost increase as society produces more of a good?

Because when one produces one product, the opportunity cost of the other product increases. The concave represents the increasing opportunity cost with the production of a good.


What is the mass of a truck if it produces a force of 14000 N?

If that force represents its weight, divide that by the gravitational field (approximately 9.8 N/kg), to get the mass in kilograms.