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Suppose the number of cigarettes a person smolles in a day is our x variable and the number of times the 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 O true variable explanatory variable GY b The number of coughs in a day acts as the Otrue variable response variable O explanatory variable O correlation coefficient 6 P Suppose that we have the following data of Cigarettes 2 57 9 3 Coughs 5 12 13 19 6 6 32 c Use StatCrunch to create a scatterplot Looking at the scatterplot is a linear regression appropriate for this data sot O No the data shows randomness O 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 d Use StatCrunch to find the equation of the regression line What is the slope Round to 3 decimal places 24 33 11 2 52 68 20 6 f What is the correlation coefficient Round to 2 decimal places 85 Ostrong negative O moderate negative Omoderate positive O weak positive strong positive Oweak negative 10 11 8 24 30 15 8 What level of correlation strength does this correlation coefficient suggest between these variables d 3 2 5 1 1 Which is the interpretation of this Re 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 of cigarettes they smoke 098 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 O 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 1 decimal places

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