3. The following data gives the information on the ages (in years) and the number of breakdowns during the past month for a sample of 7 machines at a large industrial company. Age (X) 12 7 8. 13 4. Number of breakdowns (Y)| 9 1 4 11 7 (a) Draw a scatter diagram to represent the above data. (b) Calculate the value of Pearson's correlation coefficient r. Interpret the value of r. (c) Calculate coefficient of determination. Interpret your answer. 91

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. The following data gives the information on the ages (in years) and the number of breakdowns
during the past month for a sample of 7 machines at a large industrial company.
Age (X)
12
8.
13
9.
4
Number of breakdowns (Y)| 9
1
4
11
7
(a) Draw a scatter diagram to represent the above data.
(b) Calculate the value of Pearson's correlation coefficient r. Interpret the value of r.
(c) Calculate coefficient of determination. Interpret your answer.
(d) Determine the equation of the regression line using least squares method.
(e) What is the expected breakdown for an eleven year old machine?
Transcribed Image Text:3. The following data gives the information on the ages (in years) and the number of breakdowns during the past month for a sample of 7 machines at a large industrial company. Age (X) 12 8. 13 9. 4 Number of breakdowns (Y)| 9 1 4 11 7 (a) Draw a scatter diagram to represent the above data. (b) Calculate the value of Pearson's correlation coefficient r. Interpret the value of r. (c) Calculate coefficient of determination. Interpret your answer. (d) Determine the equation of the regression line using least squares method. (e) What is the expected breakdown for an eleven year old machine?
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