1. 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 12 during a one-hour period. Then 5 employees assembled them. They produced 20 during a one-hour period. The complete set of paired observations follows.
|
Number of
Assemblers
|
One-Hour
Production (units)
|
|
3
|
12
|
|
5
|
20
|
|
2
|
6
|
|
6
|
25
|
|
4
|
17
|
|
b. A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production?
c. Compute the correct cofficient.
2. The following sample observations were randomly selected.
a. The regression equation is =
b. When X is 5.5 this gives =
3. Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The general sales manager aired a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She obtained the information for Saturday-Sunday digital camera sales at the various outlets and paired it with the number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between the number of times the advertisement was aired and digital camera sales. The pairings are:
c. Determine the correlation coefficient
d. Interpret these statistical measures
4. 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
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?
b-1 Determine the correlation coefficient
b-2 Determine the coefficient of determination
c. Interpret the correlation coefficient. Does it surprise you that the correlation coefficient is negative?
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?
More details for solving given questions is in attached file.
Attachment:- problem_set.rar