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Relationship between economic status

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The scatterplot shows the relationship between economic status measured as a percentage of children in a neighborhood receiving reduced-fee lunch at school and the percentage of bike riders in the neighborhood wearing helmets. The average percentage of children receiving reduced-fee lunches is 30.8% with a standard deviation of 26.7%. The average percentage of bike riders wearing helmets is 38.8% with a standard deviation of 16.9%.

a) If R2 for the least-squares regression line is 72%, what is the correlation between the variables? (Give your answer to two decimal places.)

R =

b) Calculate the slope and intercept for the least-squares regression line for these data.

Slope =

Intercept =

c) What would the value of the residual be in a neighborhood where 45% of the children receive reduced-fee lunch and 42% of the bike riders wear helmets? (Give your answer to 2 decimal places).

Residual =

1465_relationship between economic status.jpg

Reference no: EM13844918

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