A scatter plot shows data points that are widely scattered around a line that slopes down to the right. Which value would be closest to the correlation for these data?Group of answer choices0.400.80–0.80–0.40
Question
A scatter plot shows data points that are widely scattered around a line that slopes down to the right. Which value would be closest to the correlation for these data?Group of answer choices0.400.80–0.80–0.40
Solution
The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. It ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related.
If an increase in one variable tends to be associated with an increase in the other then this is known as a positive correlation. This would be shown on a scatter plot as a rising trend.
If an increase in one variable tends to be associated with a decrease in the other then this is known as a negative correlation. This would be shown on a scatter plot as a falling trend.
In your case, the scatter plot shows data points that are widely scattered around a line that slopes down to the right. This indicates a negative correlation.
Among the given options, the value that would be closest to the correlation for these data is -0.80. This is because it is a negative value and closer to -1, indicating a strong negative correlation.
Similar Questions
Choose the most likely correlation value for this scatterplot:r = 0.436r = 0.100r = −0.897r = 0.995r = −0.575
1. In a data set with a strong linear correlation, the points in the scatter plot approximate a line.Turn on Show least-squares fit line. The least-squares fit line is the “best-fit” line, or theline that most closely “fits” the shape of the data.A. When r = 1, how are the points in the scatter plot related to the least-squares fit line?B. Slowly decrease r. How does this affect where the points are in relation to the line?
If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is(a) Positive(b) Zero(c) Negative(d) none of these
Which value shows the best correlation between the slope angle and the particle size?Group of answer choices0.70000.712340.70990.69990.7345
D. Set r to –0.90. Click Same r several times. What do the least-squares fit lines forthese scatter plots have in common?A negative r indicates a negative correlation: as x increases, y tends to decrease
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