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PRACTICE PROBLEMS FOR SECTION 2.9

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1 The following data give the heights (cm) and weights (lb) of 10 male undergraduate students:Heights170167172171165170168172175172Weights182172179172174179188168185169Draw a scatter plot for these data. By observing this scatter plot, do you expect the correlation between heights and weights to be positive or negative?Determine the correlation coefficient between the heights and weights.

2 The following data give the final exam scores in biology and chemistry of eight science majors:Biology scores8588789289837995Chemistry scores9084869594898487Draw a scatter plot for these data. By observing this scatter plot, do you expect the correlation between biology and chemistry scores to be approximately 1, 1, or 0?Determine the correlation coefficient between the biology and chemistry scores.

3 The following data show the experience (in years) and yearly salaries (in thousands of dollars) of 10 engineers:Experience101281561114161512Salaries98959711088102120128105104Construct a scatter plot for these data. By observing this scatter plot, do you expect the correlation between experience and salaries to be positive or negative?Determine the correlation coefficient between the experience and salaries. Is the value of correlation coefficient consistent with what you concluded in part (a)?

4 The following scores give two managers' assessments of ten applicants for the position of a senior engineer:Manager 17897989796Manager 28699879878Construct a scatter plot for these data. By observing this scatter plot, do you expect the correlation between assessments of managers 1 and 2 to be positive or negative?Determine the correlation coefficient between the assessment managers 1 and 2. Is the value of correlation coefficient consistent with what you concluded in part (a)?

Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP

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