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Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times th cough in a day is the y variable a The number of cigarettes smoked in a day acts as the O correlation coefficient Dresponse variable O explanatory variable truc variable b The number of coughs in a day acts as the truc variable response variable O explanatory variable correlation coefficient Suppose that we have the following data Cigarettes 2 5 7 Coughs 5 12 13 c Use StatCrunch to create a scatterplot data set 9 No the data shows randomness No the data follows a curved line Instead of a straight line Yes the data seems to follow a linear trend c What is the y Intercept Round to 3 decimal places xx 3 24 33 11 Z 6 52 68 20 6 Looking at the scatterplot is a linear regression appropriate for thi d Use StatCrunch to find the equation of the regression Linc What is the slope Round to 3 decimal places strong negative O moderate negative moderate positive f What is the correlation coefficient Round to 2 decimal places Owcak positive Ostrong positive O weak negative g What level of correlation strength does this correlation coefficient suggest between these variables 1 Which is the interpretation of this I 3 2 10 11 8 24 30 15 5 1 h What is the coefficient of determination It Answer as a percent and round to 1 decimal place 98 0 of the variability in the number of times a person coughs in a day is explained by the number af cigarettes they smoke 95 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 0 980 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

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