A scatter plot of price against living area shows points rising steadily with little vertical spread. What does this indicate?
Correct Answer
A) A strong positive relationship between the two
Why this is correct: A strong positive relationship between the two. The governing concept is that a scatter plot shows the relationship between two variables. Points rising steadily with little vertical spread indicate that as living area increases, price increases predictably, showing a strong positive linear correlation. Why the other choices are wrong: That living area does not influence sale price is wrong because the rising pattern shows clear influence. That the sample contains a recording error is wrong; tight clustering suggests data consistency, not error. A negative relationship between the variables is wrong; a negative relationship would show a downward trend. Exam tip: A tight, upward-sloping cluster on a scatter plot visually confirms a strong positive relationship before any statistical calculation.
Why This Is the Correct Answer
Why this is correct: A strong positive relationship between the two. The governing concept is that a scatter plot shows the relationship between two variables. Points rising steadily with little vertical spread indicate that as living area increases, price increases predictably, showing a strong positive linear correlation. Why the other choices are wrong: That living area does not influence sale price is wrong because the rising pattern shows clear influence. That the sample contains a recording error is wrong; tight clustering suggests data consistency, not error. A negative relationship between the variables is wrong; a negative relationship would show a downward trend. Exam tip: A tight, upward-sloping cluster on a scatter plot visually confirms a strong positive relationship before any statistical calculation.
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