What model do you adopt based on test

Reference no: EM13216474

You are given the accompanying response data on concentration of a chemical as a function of time. The six sets of observations Y1 to Y6
represent different environmental conditions.

Time (h) Y1 Y2 Y3 Y4 Y5 Y6
6 .38 .20 .34 .43 .10 .26
12 .74 .34 .69 .82 .16 .48
24 .84 .51 .74 .87 .18 .51
48 .70 .41 .62 .69 .19 .44
72 .43 .29 .43 .60 .15 .33

(a) Use cubic polynomial models to relate Y = concentration to X = time, where each environment is allowed to have its own intercept and response curve. Is the cubic term significant for any of the environments? [For the purposes of testing homogeneity in Part (c), retain the minimum-degree polynomial model that describes all responses.]

(b) Your knowledge of the process tells you that Y must be zero when X = 0. Test the composite null hypothesis that the six intercepts are zero using the model in Part (a) as the full model.

What model do you adopt based on this test?

(c) Use the model determined from the test in Part (b) and test the homogeneity of the six response curves. State the conclusion of the test and give the model you have adopted at this stage.

Reference no: EM13216474

Questions Cloud

Explain strategic business partner in general : Based on what you have learned so far, how can HR act as a strategic business partner in general? In your organization? After reading Hammond's article, do you think your employer should increase, decrease or outsource HR roles and functions? Why?

What fraction of the companys product is good : What fraction of the company's product is good? What percentage is blemished? If an unit of product is selected at random and found to be blemished, what is the probability that it was produced on machine B?

Estimate how many microbes are in your environment : Complete the following Lab Exercises in the Word document. Keep in mind you must use quotation marks if you include sentences that are word for word from the lab manual, textbook, or animations.

Explain what challenges were faced by flextronics university : What challenges were faced by Flextronics University? Assess the achievements and future development needs of Flextronics University.

What model do you adopt based on test : determined from the test in Part (b) and test the homogeneity of the six response curves. State the conclusion of the test and give the model you have adopted at this stage.

What would be the independent and dependent variables : A plant grows three inches faster per day when placed on a window sill than it does when placed on a on a coffee table in the middle of the living room.

Temperature have a cause and effect relationship with sales : Project what the forecast number would have been for 2012 and determine the accuracy of that forecast (BIAS, Absolute, Absolute %, Standard Error) Does the Temperature have a cause and effect relationship with Sales?

Find the standard deviation for the number of people : Find the standard deviation for the number of people with the genetic mutation in such groups of 600.

Built a multiple regression model : where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. Suppose the following equation is estimated - Discuss what would happen to someone's sleep if they choose to work more.

User Account

All Pages