I. Background The Food and Drug Administration (FDA) tries to find out whether there is a relation between the number of years people smoked and the percentage of lung damage. FDA asks you for your help to find it out. You interviewed twenty people who have smoked and obtained the following data. II. Technical report: a) Draw a scatter plot.b) Based on the scatter plot, explain whether the number of years and the percentage of lung damage are correlated. If they are correlated, discuss the strength of correlation, and the direction (positive or negative).c) Find the correlation coefficient r. Explain what r implies.d) Choose your own significance level a (1 suggests 0.1, 0.05 or 0.01). State and test the hypothesis. Explain what your findings mean. e) Do your observations in part (b) agree to the results from part (c) and (d)? Explainf) Find the regression line equation. Explain what the line implies. g) Draw the regression line on your scatter plot. h) A man has smoked 13 years. predict the percentage for damage on his lung. III. Letter to the director of FDA:Suppose that the director is a non-statistical person. Write one page letter that explains your findings. (( please check images for accuracy, thank you!!!)) HelpLast edit was 6 minutes agoв I UA114 I |II151HOMEWORKCorrelation & Regression Analysis1. Background:The Food and Drug Administration (FDA) tries to find out whether there is a relationbetween the number of years people smoked and the percentage of lung damage. FDAasks you for your help to find it out. You interviewed twenty people who have smoked,and obtained the following data34 24 27 21 1835 27 2521 3328 15 310 26 20 10 30 22 15 20Years30 33 845 15 50 2223 1540 18 529103030Damage 25 17 46II. Technical report:(a) Draw a scatter plot.(b) Based on the scatter plot, explain whether the mumber of years and the percentageof lung damage are correlated. If they are correlated, discuss the strength ofcorrelation, and the direction (positive or negative).(c) Find the correlation coefficient r. Explain what r implies.(d) Choose your own significance level a (I suggest 0.1, 0.05 or 0.01). State and testthe hypotheses. Explain what your findings mean.(c) Do your observations in part (b) agree to the results from part (c) and (d)?Explain.() Find the regressien line equation Explain what the line implies() Draw the regression line on your scatter plotL(1) A man has smoked 13 years. Predict the percentage of damage on his lang.TII. Letter to the director of FDA:Suppose that the director is a non-statistical person. Write one page letter that explainsyour findingslili 1. Background:The Food and Drug Administration (FDA) tries to find out whether there is a relationbetween the number of years people smoked and the percentage of lung damage. FDAasks you for your help to find it out You interviewed twenty people who have smoked,and obtained the following data.29 10 21 3334 24 | 27 21 1820 3023 15 30 33 8YearsDamage 25 17 46 45 15 50 22 10 26 20 10 30 22 1540 18 528 15 330 35 27 25

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