Math  /  Data & Statistics

Question\begin{align*} &\text{Which of the following set of statements is true?} \\ &\text{1. About 94\% of the variation in daily temperature can be explained by a positive linear relationship with beach visitors.} \\ &\text{2. The correlation coefficient, } r, \text{ is } 0.880 \\ &\text{3. There is no strong correlation in the linear association between beach visitors and daily temperatures.} \\ &\text{4. The correlation coefficient, } r, \text{ is } 0.880 \\ &\text{5. About 94\% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature.} \\ &\text{6. The correlation coefficient, } r, \text{ is } 0.969. \\ \end{align*}

Studdy Solution
Evaluate the correlation strength:
- r=0.880 r = 0.880 indicates a strong positive correlation. - r=0.969 r = 0.969 indicates an even stronger positive correlation.
Based on the analysis:
- Statement 5 is true because it aligns with the calculated r2 r^2 for r=0.969 r = 0.969 . - Statement 6 is true as it correctly states r=0.969 r = 0.969 .
The true set of statements is:
Statements 5 and 6 \boxed{\text{Statements 5 and 6}}

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