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What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
What are the relationship between values goals and standard?
Relationship between values goals and standard
How do you find the percent of an increase or decrease?
% change is the % of increase or % of decrease. % change = (difference of the two values / the original value) x 100% =[(original value - new value)/original value] x 100% % increase -if the value increased % decrease -if the value decreased
What is the constant of portionality?
If two variables are directly proportional to one another then the constant of proportionality is the ratio of their values. If they are in inverse proportion then the constant of proportionality is the product of their values.
When two values change in opposite directions so that if one increasesand the other decreases by the same amount the total value of the relationship remains the same?
The sum remains the same, yes.
In an inverse relationship how do the values of y change as the values of x is decreased?
The value of y increases, such that x*y remains a constant.
What is it called when two values change in opposite directions?
The values are said to have negative correlation.Values that change regularly at matching rates are said to be inversely proportional.
Reduce type 1 error?
Accept lower p-values (meaning lower in magnitude; values tending toward zero).--And don't forget that by reducing the probability of getting a type I error, you increase the probability of getting a type II error (inverse relationship).
How do changes in interest rates impact the relationship between bonds and their value?
Changes in interest rates have an inverse relationship with bond values. When interest rates rise, bond values decrease, and when interest rates fall, bond values increase. This is because existing bonds with lower interest rates become less attractive compared to new bonds with higher interest rates.
What is the relationship between two data sets when one data set of data values increases while the other decreases?
There is an inverse relationship between the datasets.
What is relationship between two sets of data as one set of values decreases as the other set increases?
Inverse proportion
What is the relationship between two data sets when their data values increase or decrease together?
It is a positive relationship.
Is it always true for an inverse relation that the product of the two inversely related variables is constant?
It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.
What kind of relationship exists between the variables if your r value is close to plus 1?
When r is close to +1 the variables have a positive correlation between them; as the x-values increase, the corresponding y-values increase. There is also a strong linear correlation or relationship between the variables, when the value of r is close to +1.
What describes the relationship between one set of data that decreases as another set of data increases?
The relationship between one set of data that decreases as another set of data increases is described as an inverse or negative correlation. In this scenario, when the values of one variable rise, the values of the other variable fall, indicating that they move in opposite directions. This type of relationship can be observed in various contexts, such as the relationship between supply and price or the relationship between demand and price.
What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
Can the slope of a line be negative?
Yes, the slope of a line can be negative. A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend from left to right. This is typical of lines that show inverse relationships between the two variables represented by the axes.
