1. The problem is to verify if the statistical results reported about the relationship between community influence and career planning variables are correct. 2. Important concepts: - Correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1. - $p$-value indicates the significance of the correlation; $p < 0.01$ means the correlation is statistically significant. - Coefficient of determination $R^2$ represents the proportion of variance in the dependent variable explained by the independent variable. 3. Given: - Correlation between community influence and clarity of career goals: $r = 0.65$, $p < 0.01$ (moderate positive and significant). - Correlation between community influence and career goal confidence: $r = 0.60$, $p < 0.01$ (moderate positive and significant). - Regression $R^2 = 0.42$ means 42% of variance in career goals explained by community influence. 4. Check if $R^2$ matches $r$: Since $R^2$ is the square of the correlation coefficient $r$ in simple linear regression, $$R^2 = r^2$$ 5. Calculate $r^2$ for $r=0.65$: $$0.65^2 = 0.4225$$ This matches the reported $R^2 = 0.42$ (rounded), confirming correctness. 6. Conclusion: The reported correlation coefficients, significance levels, and $R^2$ value are consistent and correct based on the data provided.