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What is the relationship between two variable if the product of the variables is constant?
inversely proportional or inverse proportion
What are the characteristics of inverse proportionality relationship?
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
When the product of two variables is a constant?
The Control Variable
Is the inverse proportion one in which the product of the two variables is constant?
Yes.
A term used to describe the relationship between two variables whose product is constant?
The relationship between two variables whose ration is a constant value is a directly proportional relationship. An example of this is the ideal gas law, PV = nRT. Pressure and volume are directly proportional to the number of molecules of an ideal gas present ad the temperature.
Is a constant a number variable or the product of a number and one or more variables?
A constant is not a variable at all, and none of its factors was a variable. It is constant.
When the product of two variables is constant the variables are proportional to each other?
Yes. They are inversely proportional. The proportion y ∝ 1/x, means xy=K, where K is the constant.
What For two variables that are inversely related what is the result of doubling one variable?
For two variables that are inversely related, if one variable is doubled, the other variable will decrease to half of its original value. This is because the product of the two variables remains constant when they are inversely related. Therefore, doubling one variable results in a proportional decrease in the other variable to maintain that constant 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.
Which correlation coefficient indicates the weakest relationship between variables?
Pearson's Product Moment Correlation Coefficient indicates how strong the relationship between variables is. A PMCC of zero or very close would mean a very weak correlation. A PMCC of around 1 means a strong correlation.
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.
What is illusory correlation?
Illusory correlation refers to the perception of a relationship between two variables that does not actually exist. This can occur when rare events are paired together in a person's mind, leading to the mistaken belief that there is a causal connection between them. In reality, the correlation is just a product of coincidence or bias.
