Twelve workers at a production line were asked to take a special three-day intensive course to improve their productivity. At the beginning and again at the end of the course, they were given a particular task to see the improvement in their productivity. Based on the data recorded for the two variables Number of years of experience X and Improvement (number of units per minute) Y, the following sums were calculated. xi = 96, yi = 132, xi2 = 892, yi2 =1510, xiyi= 1110 Consider estimating a simple linear regression model of the form y = b1 + b2x + e Q2. Sample mean of X, X, is 96 12 8 11 Q3. Sample Variance of Y, SY2, is 5.72 11.27 5.27 4.91 Q4. Sample correlation between X and Y, Corr(X, Y), is 0.46 0.50 0.64 -0.64
Twelve workers at a production line were asked to take a special three-day intensive course to improve their productivity. At the beginning and again at the end of the course, they were given a particular task to see the improvement in their productivity. Based on the data recorded for the two variables Number of years of experience X and Improvement (number of units per minute) Y, the following sums were calculated.
xi = 96, yi = 132, xi2 = 892, yi2 =1510, xiyi= 1110
Consider estimating a simple linear regression model of the form
y = b1 + b2x + e
Q2. Sample
- 96
- 12
- 8
- 11
Q3. Sample Variance of Y, SY2, is
- 5.72
- 11.27
- 5.27
- 4.91
Q4. Sample
- 0.46
- 0.50
- 0.64
- -0.64
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