Regression Analysis - Operational Management
Explain the steps on how to solve the problem below:
Oriented Strand Board (OSB) is manufactured by gluing woodchips together to form panels. Several panels are then bonded together to form a board. One of the factors influencing the strength of the final board is the amount of glue used in the production process. An OSB manufacturer conducted a test to determine the breaking point of a board based on the amount of glue used in the production process. In each test, a board was manufactured using a given amount of glue. Weight was then applied to determine the point at which the board would fail (or break). This test was performed 27 times using various amounts of glue.
| Glue |
Breaking Point |
| 3.0 |
72.7 |
| 3.0 |
73.8 |
| 3.0 |
76.8 |
| 3.5 |
73.5 |
| 3.5 |
76.5 |
| 3.5 |
78.1 |
| 4.0 |
78.7 |
| 4.0 |
82.1 |
| 4.0 |
81.9 |
| 4.5 |
85.5 |
| 4.5 |
89.8 |
| 4.5 |
87.3 |
| 5.0 |
95.1 |
| 5.0 |
98.6 |
| 5.0 |
101.9 |
| 5.5 |
108.5 |
| 5.5 |
105.7 |
| 5.5 |
109.4 |
| 6.0 |
110 |
| 6.0 |
112.3 |
| 6.0 |
114.1 |
| 6.5 |
113.8 |
| 6.5 |
116.9 |
| 6.5 |
114.2 |
| 7.0 |
118.7 |
| 7.0 |
117.2 |
| 7.0 |
115.7 |
a. Prepare a scatter plot of this data
b. What type of regression function would you use to fit this data?
c. Estimate the parameters of the regression function. What is the estimated regression function?
d. Interpret the value of the R statistic
e. Suppose the company wants to manufacture board that will withstand up to 110 lbs. of pressure per square inch. How much glue should they use?