7.28 Helmets and lunches. The scatterplot shows the relationship between socioeconomic status measured as the percentage of children in a neighborhood receiving reduced-fee lunches at school (lunch) and the percentage of bike riders in the neighborhood wearing helmets (helmet). The average percentage of children receiving reduced-fee lunches is 30.8% with a standard deviation of 26.7% and the average percentage of bike riders wearing helmets is 38.8% with a standard deviation of 16.9%. (a) If the R 2 for the least-squares regression line for these data is 72%, what is the correlation between lunch and helmet

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Answer:

The correlation between lunch and helmet is a negative correlation = -08485

Step-by-step explanation:

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The correlation coefficient gives the strength and direction of the relationship between two variables. Hence, from the information given, the correlation coefficient would be - 0.849

  • Based on the slope of the graph given, the graph has a negative slope, hence, the correlation coefficient will also be negative

Using the coefficient of determination value, R² ;

  • Correlation Coefficient, R = √R²

R = √0.72

R = ±0.8485

Hence, the correlation coefficient would be -0.849

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