Correlation is a value between -1−1 and 11 which describes how the values in the data relate to each other.
You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.
Upward SlopeUpward Slope
==
Positive CorrelationPositive Correlation
Downward SlopeDownward Slope
==
Negative CorrelationNegative Correlation
No DirectionNo Direction
==
Zero CorrelationZero Correlation
The proper logic to follow would be, as your study time increases, your grade also increases.
This means that Study Time and Grades have a direct variation, or a positive correlation.
Using the guide above, we can determine which of the scatter plots is positive
Plot A
The scatter plot displays an upward slope on the first half, and a downward slope on the second half. Therefore, the correlation is positive on the first half, and negative on the second half.
Plot B
The scatter plot displays a downward slope. Therefore, the correlation is negative
Plot C
The scatter plot does not display any visible direction. Therefore, the correlation is zero.
Plot D
The scatter plot displays an upward slope. Therefore, the correlation is positive
Therefore, plot DD displays the correlation between Study Time and Grades.
Question 4 of 6
4. Question
Which of the following scatter plots indicate the correlation r=-0.8r=−0.8?
Correlation is a value between -1−1 and 11 which describes how the values in the data relate to each other.
You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.
Upward SlopeUpward Slope
==
Positive CorrelationPositive Correlation
Downward SlopeDownward Slope
==
Negative CorrelationNegative Correlation
No DirectionNo Direction
==
Zero CorrelationZero Correlation
Since the correlation is negative and is close to -1−1, the correct scatter plot would have a downward slope and the plots should be the least scattered.
Plot A
The scatter plot displays a downward slope and the plots are loose. Therefore, the correlation of this plot would be negative and is close to 00.
Plot B
The scatter plot displays an upward slope and the plots are loose. Therefore, the correlation of this plot would be positive and is close to 00.
Plot C
The scatter plot displays a downward slope and the plots are compressed. Therefore, the correlation of this plot would be negative and is close to -1−1.
Plot D
The scatter plot displays an upward slope and the plots are compressed. Therefore, the correlation of this plot would be positive and is close to 11.
Therefore, plot CC would be the most accurate scatter plot to indicate the correlation r=-0.8r=−0.8.
Question 5 of 6
5. Question
Match the correlation coefficient to each of the scatter plots.