Which of the following values best represents the Pearson correlation for the data in the following scatterplot?

Question

BlackTom AI · Accepted Answer

To determine the Pearson correlation from the scatterplot, I look for the overall direction and tightness of the linear relationship.
- The plotted points trend upward as X increases, which indicates a positive correlation rather than a negative one. This rules out options C (-0.05) and D (-0.70), which imply a weak or strong negative relationship.
- The points are not scattered completely randomly; they form a discernible upward pattern, though there is some dispersion. This suggests the correlation is positive and reasonably strong, not near zero. This makes option B (0.05) unlikely since 0.05 would indicate a very weak or negligible linear relationship.
- Among the positive options, 0.70 represents a moderate-to-strong positive linear association, which matches the visual pattern of a clear upward trend with relatively tight clustering along a line. While the scatter is not perfectly on a straight line, the overall direction and concentration support a fairly high positive correlation.
- Therefore, the best choice that aligns with the plotted trend is the positive, relatively strong value, corresponding to option A: 0.70.

PSYC20009_2025_SM2 PRACTICE EXAM 2025- Requires Respondus LockDown Browser

Which of the following values best represents the Pearson correlation for the data in the following scatterplot?

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类似问题

Which of the following values best represents the Pearson correlation for the data in the following scatterplot?

A researcher is interested in examining the relationship between the number of bears in an area (Y) and its human population (X). The scatterplot of the data is reproduced below. This scatterplot would suggest that the correlation (Pearson’s r) for this distribution would be:

Which of the following values best represents the Pearson correlation for the data in the following scatterplot?

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