# Two way ANOVA, Least Squares Equation, Weighted moving avera

Question (1) :

Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial.

Using the .05 level of significance:

1. Is there a difference among types of gasoline?

2. Is there a difference in the cars?

For the table of data and the complete description of question, please refer the attached file.

Question (2) :

Listed below are the net sales for Schering-Plough Corporation (a pharmaceutical company) and its subsidiaries for the six years from 1997 to 2002 The net sales are in millions of dollars.

Determine the least squares equation. According to this information, what are the estimated sales for 2005?

(For the table of data and complete description of the question please refer the attached file.

Question (3) :

The yield on a 30-year treasury note at the end of each year since 1990 is recorded below. Compute a five-year weighted moving average using weights of .1, .1, .2, .3, and .3, respectively. Describe the trend in yield.

(For the table of data and complete description of the question please refer the attached file.)

Question (4):

The Appliance Center sells a variety of electronic equipment and home appliances. For the last four years the following quarterly sales (in $ millions) were reported.

Determine a typical seasonal index for each of the four quarters.

(For the table of data and complete description of the question please refer the attached file.)

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#### Solution Summary

Solutions to the problems on Two Way ANOVA, Least Squares Equation, Weighted Moving Average, and Seasonal Index are explained with examples using a step by step explanation so that the students could easily understand the procedure and work out other similar problems using these solutions as model solutions. This will enable the students to understand the basic rationale behind the solutions of such problems.