Question
A scatter plot reveals a strong positive linear
relationship between two variables. Which of the following is the most appropriate statistical measure to confirm this observation?Solution
The correlation coefficient (often denoted as "r") quantifies the strength and direction of a linear relationship between two variables. A strong positive correlation (e.g., r = 0.9) indicates that as one variable increases, the other tends to increase as well. For instance, a high correlation between advertising spend and sales confirms their strong linear relationship, observed in the scatter plot. This metric is critical for assessing relationships before performing regression or predictive modeling. Why Other Options Are Wrong : A) Standard deviation measures variability, not relationships. C) Mean difference compares group averages, not correlations. D) P-value tests hypotheses but doesn’t quantify relationships. E) Variance measures the spread within a single variable, not between two.
Statements:
Only a few triangle is circle
All circles are squares
Only a few square is rectangle
Conclusions:
I. Most...
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Statements:
Some tigers are dog
Only a few dogs are cats
All cats are lions
Only a few lions are horses
Conclusion...
In the question below there are three statements followed by three conclusions I, II and III. You have to take the four given statements to be true eve...
Statements:Some pencils are erasers.
All erasers are pens.
Some pens are sharpeners.
Conclusions:I. some sharpeners are erasers.
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it app ear s to be at variance ...
Statements:
Only a few Hen are Duck
All Bat are Rat
No Duck is a Bat
Some Rat are Cat
Conclusions:
I. Som...
In the following question, some conclusions are given and some statements are given you have to take the given conclusions to be true even if they seem...
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at varian...
Statements:Â Â Â Â Â Â Â Â Some red are yellow.
                             All yellow are green.
    ...
