Understand what is meant by positive, negativeand zero correlation
Question
Understand what is meant by positive, negativeand zero correlation
Solution
Correlation is a statistical measure that describes the association between random variables. In the context of statistics, a "random variable" is a variable whose possible values are outcomes of a certain phenomenon, and a "correlation" describes the degree of relationship between those variables. There are three types of correlation: positive, negative, and zero.
-
Positive Correlation: This occurs when the values of two variables increase together. For example, the more time you spend studying for an exam, the higher your score is likely to be. The correlation coefficient for a positive correlation ranges between 0 and +1.
-
Negative Correlation: This occurs when the value of one variable increases while the value of the other variable decreases. For example, the more time you spend watching TV, the less time you have for studying. The correlation coefficient for a negative correlation ranges between 0 and -1.
-
Zero Correlation: This occurs when there is no relationship between the variables. In other words, changes in one variable do not predict or cause changes in the other. For example, there might be no correlation between the amount of tea you drink and your math test scores. The correlation coefficient for a zero correlation is 0.
Remember, correlation does not imply causation. Just because two variables correlate does not mean that one causes the other to occur. They could be related indirectly through another variable or coincidentally.
Similar Questions
Assertion (A) Broadly, there only two types of correlation i.e., positive and negative.Reason (R) The correlation is said to be positive when the variables move together in the same direction, the correlation is negative when they move in opposite directions.
We first introduce the concept of correlation in the Section 2.5 notes.Consider a linear model of the relationship between two quantitative variables in which the slope coefficient is non-zero. Which of the following statements about the slope coefficient and the correlation r between the two variables is correct?Question 1Select one:a.The slope coefficient could be negative when the correlation coefficient is positiveb.The slope coefficient and the correlation coefficient should have the same sign (both positive, or both negative)c.The slope coefficient could be positive when the correlation coefficient is negatived.The correlation coefficient can only be a positive value (regardless of whether the slope is positive or negative)Clear my choice
Which statement about correlation is FALSE?The correlation of a data set can be positive, negative, or 0.Correlation is used to define the variables of only non-linearly related data sets.Correlation between the variables of the data set can be measured.Correlation is the degree to which the two variables of a data set resemble each other.
Correlation can either be positive or negative but it is a linear relationship. The larger the absolute value the stronger the relationship and we evaluate it through comparison of the extreme values of 0 and 1Question 3Answera.Falseb.True
What does a correlation coefficient of -1 indicate? No linear relationship between two variables. A perfect positive linear relationship between two variables. A perfect negative linear relationship between two variables. The variables are unrelated.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.