In some urban locations, if one pollutant is found in the air, we often find others as well. Two commons pollutants in big cities are ozone and secondary carbon concentrations. Both of these pollutants are quite hazardous to the lungs in strong concentrations. The following 16 pairs of data were taken on random summer days near downtown Los Angeles. The data are on ozone concentrations in parts per million (x) and secondary carbon concentrations in micrograms per cubic meter (y): 066 088 120 .050 162 .186.057 .100 .112 .055 .154 .074 4.6 11.6 9.5 6.3 13.8 15.4 2.5 11.8 8.0 7.0 20.6 16.6 111 140 .071 .110 y 9.2 17.9 2.8 13.0 a) Create a scatterplot for these data. b) Using the pictures on a previous handout, guess the sample correlation coefficient. How Would you describe the relationship between the two pollutants? c) Using the scatterplot, what might be a good prediction for the secondary carbon concentration if on a particular day the ozone level is .125 ppm? Predict y if X=125 X predict y м

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Section4.5: Correlation And Causation
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In some urban locations, if one pollutant is found in the air, we often find others as well. Two
commons pollutants in big cities are ozone and secondary carbon concentrations. Both of
these pollutants are quite hazardous to the lungs in strong concentrations. The following 16
pairs of data were taken on random summer days near downtown Los Angeles. The data are
on ozone concentrations in parts per million (x) and secondary carbon concentrations in
micrograms per cubic meter (y):
066 088 120 .050 162 .186.057 .100 .112 .055 .154 .074
4.6 11.6 9.5 6.3 13.8 15.4 2.5 11.8 8.0 7.0 20.6 16.6
111
140 .071 .110
y
9.2 17.9 2.8 13.0
a) Create a scatterplot for these data.
b) Using the pictures on a previous handout, guess the sample correlation coefficient. How
Would you describe the relationship between the two pollutants?
c) Using the scatterplot, what might be a good prediction for the secondary carbon
concentration if on a particular day the ozone level is .125 ppm?
Predict y if X=125
X
predict y
м
Transcribed Image Text:In some urban locations, if one pollutant is found in the air, we often find others as well. Two commons pollutants in big cities are ozone and secondary carbon concentrations. Both of these pollutants are quite hazardous to the lungs in strong concentrations. The following 16 pairs of data were taken on random summer days near downtown Los Angeles. The data are on ozone concentrations in parts per million (x) and secondary carbon concentrations in micrograms per cubic meter (y): 066 088 120 .050 162 .186.057 .100 .112 .055 .154 .074 4.6 11.6 9.5 6.3 13.8 15.4 2.5 11.8 8.0 7.0 20.6 16.6 111 140 .071 .110 y 9.2 17.9 2.8 13.0 a) Create a scatterplot for these data. b) Using the pictures on a previous handout, guess the sample correlation coefficient. How Would you describe the relationship between the two pollutants? c) Using the scatterplot, what might be a good prediction for the secondary carbon concentration if on a particular day the ozone level is .125 ppm? Predict y if X=125 X predict y м
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