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of times they cough in a day Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times they cough in a day is the y variable a The number of cigarettes smoked in a day acts as the Ocorrelation coefficient O response variable explanatory variable truc variable b The number of coughs in a day acts as the truc variable response variable explanatory variable Ocorrelation coefficient Suppose that we have the following data 9 Cigarettes 2 5 7 3 24 33 11 Z 10 11 8 3 2 Coughs 5 12 13 19 6 52 68 20 16 24 30 15 5 1 Looking at the scatterplot is a linear regression appropriate for this c Use StatCrunch to create a scatterplot data sot No the data shows randomness No the data follows a curved line Instead of a straight line Yes the data seems to follow a lincar trend d Use StatCrunch to find the equation of the regression Line What is the sloper Round to 3 decimal places c What is the y Intercept Round to 3 decimal places What is the correlation coefficient Round to 2 decimal places R What level of correlation strength does this correlation coefficient suggest between these variables strong negative moderate negative moderate positive Owcak positive strong positive Oweak negative h What is the coefficient of determination 2 Answer as a percent and round to 1 decimal place 1 Which is the interpretation of this I 98 0 of the variability in the number of times a person coughs in a day is explained by the number of cigarettes they smoke 98 0 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day About 0 980 of the variability in the number of cigarettes a person smokes in a day is explained by the number of times they cough in a day 00 980 of the variability in the number of times a person coughs in a day is explained by the number of cigarettes they smoke 1 If a person smokes 30 cigarettes in a day predict the number of times they will cough Round to 3 decimal places

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