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%. Rate of Wearing a Helmet 60% 40% 20% 0% 0% 80% 20% 40% 60% Rate of Receiving a Reduced-Fee Lunch (a) If the R2 for the least-squares regression line for these data is 72%, what is the correlation between lunch and helmet? (b) Calculate the slope and intercept for the least-squares regression line for these data. (c) Interpret the intercept of the least-squares regression line in the context of the application. (d) Interpret the slope of the least-squares regression line in the context of the application. (e) What would the value of the residual be for a neighborhood where 40% of the children receive 0% reduced-fee lunches and 40% of the bike riders wear helmets? Interpret the meaning of this residual in the context of the application.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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3:01 PM Tue Mar 7
Help Using WAMAP
Rate of Wearing a Helmet
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%.
60%
40%
20%
wamap.org
0%
A 52%
0%
20% 40% 60% 80%
Rate of Receiving a Reduced-Fee Lunch
(a) If the R² for the least-squares regression line for these data is 72%, what is the correlation between lunch and helmet?
(b) Calculate the slope and intercept for the least-squares regression line for these data.
(c) Interpret the intercept of the least-squares regression line in the context of the application.
(d) Interpret the slope of the least-squares regression line in the context of the application.
(e) What would the value of the residual be for a neighborhood where 40% of the children receive 0% reduced-fee lunches and 40% of the bike riders wear helmets? Interpret
the meaning of this residual in the context of the application.
Transcribed Image Text:3:01 PM Tue Mar 7 Help Using WAMAP Rate of Wearing a Helmet 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%. 60% 40% 20% wamap.org 0% A 52% 0% 20% 40% 60% 80% Rate of Receiving a Reduced-Fee Lunch (a) If the R² for the least-squares regression line for these data is 72%, what is the correlation between lunch and helmet? (b) Calculate the slope and intercept for the least-squares regression line for these data. (c) Interpret the intercept of the least-squares regression line in the context of the application. (d) Interpret the slope of the least-squares regression line in the context of the application. (e) What would the value of the residual be for a neighborhood where 40% of the children receive 0% reduced-fee lunches and 40% of the bike riders wear helmets? Interpret the meaning of this residual in the context of the application.
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