When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator how much a person smokes. Listed below are the reported numbers of cigarettes smoked per day and the measured amounts of cotinine (in ng/mL). Is there a significant linear correlation? Using a 5% level of significance determine if there is a linear correlation and describe the relationship (i. e. write the equation of the regression line). Cigarettes per day (X) 6 10 4 15 10 1 20 8 7 10 10 20
Cotinine (Y) 179 283 75.6 174 209 9.51 350 1.85 43.4 25.1 408 344
Data Table: Smoking and Cotinine
Hypotheses:
H0: Slope and Correlation are both zero
H1: Slope and Correlation are both not zero
1. What is the correlation coefficient?
2. What percent of the variation of absences are explained by the model?
3. What is the equation for the regression line?
4. State the p-value.
Follow Up:
Interpret the meaning of the slope of the regression line:
For every additional cigarette consumed per day, cotinine levels are predicted toby.