QuestionBased only on the analysis result here, what is the true nature of the relationship between English Score and Math Score?
Correlations
\begin{tabular}{llr|r}
& & EnglishScore & MathScore \\
\hline \multirow{3}{*}{ EnglishScore } & Pearson Correlation & 1 & \\
\cline { 2 - 4 } & Sig. (2-tailed) & & .029 \\
\cline { 2 - 4 } MathScore & N & 55 & 55 \\
\cline { 2 - 4 } & Pearson Correlation & & 1 \\
\hline & Sig. (2-tailed) & .029 & \\
\cline { 2 - 4 } & N & 55 & 55 \\
\hline
\end{tabular}
*. Correlation is significant at the 0.05 level (2-tailed).
English ability significantly enhances math test performance.
A generally high level of cognitive function enhances both english test scores and the math test scores.
It's not possible to know the exact nature of the relationship based when one is only given the results of an analysis.
Math ability significantly enhances English test performance.
Studdy Solution
STEP 1
1. The Pearson correlation coefficient is used to measure the strength and direction of the linear relationship between two variables.
2. A correlation coefficient close to 0 indicates a weak relationship, while a value close to 1 or -1 indicates a strong relationship.
3. The significance level (Sig. 2-tailed) indicates whether the correlation is statistically significant.
STEP 2
1. Interpret the Pearson correlation coefficient.
2. Interpret the significance level.
3. Determine the nature of the relationship based on the analysis.
STEP 3
Identify the Pearson correlation coefficient between English Score and Math Score:
STEP 4
Identify the significance level (Sig. 2-tailed) for the correlation:
Since , the correlation is statistically significant.
STEP 5
Interpret the correlation coefficient and significance:
- The correlation coefficient indicates a weak positive relationship between English Score and Math Score.
- The relationship is statistically significant at the 0.05 level, suggesting that there is evidence of a linear relationship between the two scores.
Based on the analysis result, the true nature of the relationship is that there is a weak but statistically significant positive correlation between English Score and Math Score.
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