Explain: Perfect negative correlation

1.	Explain: Perfect negative correlation
Answer» If the simultaneous changes occur in the values of the two correlated variable in the opposite direction and in the same proportion that mean if the values of one variable increases / decreases by one unit, then the values of another variable decreases / increases in same constant proportion, the correlation between them is said to be perfect negative correlation. In case of perfect negative correlation, all the points of a scatter diagram lie on the same line going in the downward direction from left to right. In the case of perfect negative correlation, the value of correlation coefficient is – 1. For example; the correlation between the height of a place from sea level and the proportion of oxygen in the air is perfect negative correlation. More and more height of a place from sea level the proportion of oxygen in the air becomes less and less.

Answer»

If the simultaneous changes occur in the values of the two correlated variable in the opposite direction and in the same proportion that mean if the values of one variable increases / decreases by one unit, then the values of another variable decreases / increases in same constant proportion, the correlation between them is said to be perfect negative correlation.

In case of perfect negative correlation, all the points of a scatter diagram lie on the same line going in the downward direction from left to right.

In the case of perfect negative correlation, the value of correlation coefficient is – 1.

For example; the correlation between the height of a place from sea level and the proportion of oxygen in the air is perfect negative correlation. More and more height of a place from sea level the proportion of oxygen in the air becomes less and less.

Discussion

No Comment Found

Related InterviewSolutions

What is spurious correlation ?
Altitude and amount of Oxygen in air.
The rate of inflation and the purchase power of common man of a country when income of the common man is stable.
The correlation coefficient between X and Y is 0.4. What will be the value of correlation coefficient if 5 is added in each observation of X and 10 is substracted from each observation of Y ?
What can be said about the correlation between the annual import of crude oil and the number of marriages during the same time period ?
If u = \(\frac{x−A}{C_x}\) and v = CX\(\frac{x−A}{C_x}\), Cx > 0, Cy > 0, then which of the following statement is correct?(a) r (x, y) ≠ r (u, v)(b) r (x, y) > r (u, v)(c) r(x, y) = r (u, v)(d) r (x, y) < r(u, v)
If r(x, y) = 0.7, then what is the value of r (x + 0.2, y+ 0.2)?(a) 0.7(b) 0.9(c) 1.1(d) – 0.7
If r(-x, y) = – 0.5, then what is the value of r(x, -y)?(a) 0.5(b) – 0.5(c) 1(d) 0
In context with correlation, what do you call the graph, if the points of paired observations (x, y) are shown in a graph?(a) Histogram(b) Circle diagram(c) Scatter diagram(d) Frequency curve
The coefficient of rank correlation of the marks obtained by 10 students in two particular subjects was found to be 0.5. Later on, it was found that one of the differences of the ranks of a student was 7 but it was taken as 3. Find the corrected value of the correlation coefficient.