| The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 14 during a one-hour period. Then 5 employees assembled them. They produced 23 during a one-hour period. The complete set of paired observations follows. |
| Number of Assemblers | One-Hour Production (units) |
| 3 | 14 |
| 5 | 23 |
| 2 | 9 |
| 6 | 38 |
| 4 | 26 |
| The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. |
Click here for the Excel Data File
| b. | A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production? |
| (Click to select) Yes No , as the number of assemblers (Click to select) decreases increases , so does the production. |
| c. | Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.) |
| X | Y | ( )2 | ( )2 | ( )( ) | ||
| 3 | 14 | -8 | 64 | |||
| 5 | 23 | 1 | 1 | 1 | ||
| 2 | 9 | -13 | 169 | |||
| 6 | 38 | 2 | 4 | 32 | ||
| 4 | 26 | 4 | 0 | 0 | ||
| = | = | sx | = |
| sy | = | r | = | ||||||||||||||||||||||
| 2.
| |||||||||||||||||||||||||
| The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. |
| Car | Age (years) | Selling Price ($000) | Car | Age (years) | Selling Price ($000) |
| 1 | 9 | 8.1 | 7 | 8 | 7.6 |
| 2 | 7 | 6.0 | 8 | 11 | 8.0 |
| 3 | 11 | 3.6 | 9 | 10 | 8.0 |
| 4 | 12 | 4.0 | 10 | 12 | 6.0 |
| 5 | 8 | 5.0 | 11 | 6 | 8.6 |
| 6 | 7 | 10.0 | 12 | 6 | 8.0 |
Click here for the Excel Data File
| a. | If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable? |
| (Click to select) Car Selling price Age is the independent variable and (Click to select) selling price age car is the dependent variable. |
4.
| b-1. | Determine the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) |
| X | Y | ( )2 | ( )2 | ( )( ) | ||
| 9.0 | 8.1 | 1.192 | 0.007 | 1.420 | 0.099 | |
| 7.0 | 6.0 | -0.908 | 3.674 | 0.825 | 1.741 | |
| 11.0 | 3.6 | 2.083 | 4.340 | 10.945 | -6.892 | |
| 12.0 | 4.0 | 3.083 | 9.507 | 8.458 | -8.967 | |
| 8.0 | 5.0 | -0.917 | -1.908 | 3.642 | 1.749 | |
| 7.0 | 10.0 | -1.917 | 3.092 | 9.558 | -5.926 | |
| 8.0 | 7.6 | -0.917 | 0.692 | 0.840 | -0.634 | |
| 11.0 | 8.0 | 2.083 | 1.092 | 4.340 | 2.274 | |
| 10.0 | 8.0 | 1.083 | 1.092 | 1.174 | 1.192 | |
| 12.0 | 6.0 | 3.083 | -0.908 | 9.507 | 0.825 | |
| 6.0 | 8.6 | -2.917 | 1.692 | 8.507 | 2.862 | -4.934 |
| 6.0 | 8.0 | -2.917 | 1.092 | 8.507 | 1.192 | -3.184 |
| 107.000 | 82.900 | |||||
| = | = | sx | = | sy | = |
| r | = |
| b-2. | Determine the coefficient of determination. (Round your answer to 3 decimal places.) |
| c. | Interpret the correlation coefficient. Does it surprise you that the correlation coefficient is negative? (Round your answer to nearest whole number.) |
| (Click to select) No Moderate Strong correlation between age of car and selling price. So, % of the variation in the selling price is explained by the variation in the age of the car. | |
5.
| Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was .78. |
| At the .01 significance level, is the correlation in the population greater than zero? (Round your answer to 3 decimal places.) |
| The test statistic is . |
| Decision: (Click to select) Reject Do not reject H0: ρ ≤ 0 |
Place your order now for a similar paper and have exceptional work written by our team of experts to guarantee you A Results
Why Choose US
6+ years experience on custom writing
80% Return Client
Urgent 2 Hrs Delivery
Your Privacy Guaranteed
Unlimited Free Revisions
