Question

Choose a topic of study that will include a multiple correlation between 3 or more variables.

1. Collect at least 3 variables from at least 6 individuals.

2. Identify the dependent variable and the independent variables.

3. What is the regression line?

4. Test the significance of the correlation between the variables

5. Choose enough independent variables to make a prediction of the dependent variable associated with them. (assign values to each of your independent variables)

6. What is the coefficient of multiple determination. and non determination.

Answer 1

1. Suppose the researcher is interested in predicting the amount of time required by the route driver .

Consider the following data set:

2. Here y is dependent variable and x1, x2 are the independnt variables.

Suppose we want to y for x₁ = 8, and x₂ = 530

3. Let's use minitab:

Multiple regression using minitab:

Step 1) First enter the given data set in minitab columns.

Step 2) Click on Stat>>>Regression>>>General regression...

Response: select y

Model: select x1 and x2

Step 3) Click on Prediction

in "New observation for continuous predictors:

we want to predict y for given x₁ = 8 and x₂ = 530

So put 8 then space and then put 530

Select confidence limits:

and prediction limits

Then click on OK

then click on Option.

Confidence level for all interval: put 95

Types of confidence interval: Two-sided.

then click on OK and again Click on OK

So we get the following minitab output

From the above output the regression line is as follow:

y = 2.34123 + 1.61591 x1 + 0.0143848 x2

5. From the above output the fitted vaalue of y for given x1 = 8 and x2 = 530 is as follows

= 79.24 minuts.

6 ) Coefficient of multiple determination = R-square = 95.96% = 0.9596

Coefficient of non determination = 100 - 95.96 = 4.04% = 0.0404