Two variables are negatively correlated when the slope of the best-fit line that is drawn on the scatter plot with the independent variable on the x-axis and the dependent variable on the y-axis is negative.
If two variables are highly correlated, the Pearson correlation will be close to -1.0 or +1.0. A correlation of zero shows no relationship.
False. Correlation coefficient as denoted by r, ranges from -1 to 1. Coefficient of determination, or r squared ranges from 0 to 1. I note that x,y data points that have a high negative correlation would plot with a negative trend or a negatively sloped line if a best fit regression line is determined. I note also that x,y data points with a high positive correlation would plot with a positive trend or positively sloped line if a best fit regression line is determined. The coefficient of determination for r = 0.9 and r= -0.9 would be 0.81.
The two variables involved are highly but not perfectly correlated. When the value of one of them rises the other falls, and vice versa.
1 or -1
The number of times a pencil is sharpened and its length
Two variables are negatively correlated when the slope of the best-fit line that is drawn on the scatter plot with the independent variable on the x-axis and the dependent variable on the y-axis is negative.
Not necessarily. They must decrease together (the question does not say so). Also, the decreases may not be sufficient for the to be correlated. It is less likely that they are negatively correlated, but with the amount of information in the question that is about all that can be said.
Height and Weight.
No, they do not.
If two variables are highly correlated, the Pearson correlation will be close to -1.0 or +1.0. A correlation of zero shows no relationship.
Correlation is defined as the degree of relationship between two or more variables. It is also called the simple correlation. The degree of relationship between two or more variables is called multi correlation. when two or more variables are said to be higjly correlated it means that they have a strong relationship such that a given rise or fall in one variable will lead to a direct change in the other variable or variables. good examples of highly correlated variables are price and quantity, wage rate and out put, tax and income.
false they can be related with quadratic equation as well
The preposition "with" should follow the word "correlated." For example: "The data suggests that these two variables are strongly correlated with each other."
Multicollinearity is the condition occurring when two or more of the independent variables in a regression equation are correlated.
Correlation between two variables implies a linear relationship between them. The existence of correlation implies no causal relationship: the two could be causally related to a third variable. For example, my age is correlated with the number of TV sets in the UK but obviously there is no causal link between them - they are both linked to time.
The number of TV sets in the UK and my age.