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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 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

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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