Using a scatter diagram differentiate between negative, positive and zero correlation.
Using a scatter diagram differentiate between negative, positive and zero
correlation.
A negative correlation refers to a relationship where the variables move in opposite direction i.c. an increase in one variable is accompanied by a decrease in another variable.
For example, an increase in visits to the pub is accompanied by a decrease in exam performance.
1. **Negative Correlation:**
In a scatter diagram depicting negative correlation, the points generally form a downward-sloping pattern. As one variable increases, the other variable tends to decrease. This suggests that there is an inverse relationship between the two variables. In your example, the scatter diagram would show points where an increase in visits to the pub corresponds to a decrease in exam performance.
2. **Positive Correlation:**
For positive correlation, the scatter diagram would exhibit an upward-sloping pattern. As one variable increases, the other variable also tends to increase. This suggests a direct relationship between the two variables. If you had an example like “hours spent studying” and “exam scores,” a positive correlation would show that as study time increases, exam scores tend to increase as well.
3. **Zero Correlation:**
In a scatter diagram with zero correlation, the points are scattered randomly without any clear trend or pattern. There’s no consistent relationship between the variables, and changes in one variable don’t seem to have any predictable effect on the other. For example, if you were comparing “height” and “favorite color,” you’d likely see a random distribution of points across the scatter plot.
Remember, the shape and pattern of the points on a scatter diagram help you visually assess the nature of the relationship between the variables.
[mediator_tech]
1. A negative correlation is observed in a scatter diagram when variables exhibit a __________ pattern.
a) random
b) downward-sloping
c) upward-sloping
2. In a negative correlation, an increase in one variable corresponds to a __________ in another variable.
a) decrease
b) increase
c) stability
3. Positive correlation is illustrated in a scatter diagram when points show an __________ pattern.
a) upward-sloping
b) downward-sloping
c) irregular
4. An example of positive correlation could be when “study time” is positively related to __________.
a) sleep duration
b) exam scores
c) entertainment choices
5. Zero correlation is represented by points on a scatter diagram that are __________.
a) scattered randomly
b) forming a clear line
c) increasing consistently
6. In a zero correlation scenario, changes in one variable have __________ effect on the other variable.
a) a predictable
b) no
c) a positive
7. If exam scores and time spent exercising have a negative correlation, higher exercise time may lead to __________ exam performance.
a) improved
b) unchanged
c) decreased
8. When a scatter diagram shows an upward-sloping pattern, it indicates a __________ correlation.
a) positive
b) negative
c) zero
9. An example of a negative correlation is when an increase in “screen time” leads to a __________ in outdoor activities.
a) decrease
b) increase
c) steady rate
10. A scatter diagram with randomly dispersed points suggests __________ correlation.
a) negative
b) positive
c) zero
11. If the data points in a scatter diagram form a straight line with a positive slope, it suggests a __________ correlation.
a) negative
b) zero
c) positive
12. A decrease in “study hours” could be linked to a __________ in “grades earned,” showing negative correlation.
a) decrease
b) increase
c) stability
13. When variables in a scatter diagram move in opposite directions, it indicates __________ correlation.
a) positive
b) negative
c) zero
14. A scatter diagram displaying points close to a horizontal line implies __________ correlation.
a) negative
b) zero
c) positive
15. If changes in one variable have no consistent effect on the other variable, it suggests __________ correlation.
a) zero
b) negative
c) positive
