Business Application IT Lab

IT Business Application lab Assignment#3

Session 3

Date: 22nd jan,2013

Assignment 1A

Based on the groove and mileage data: mileage is affected by groove.

Fit lm and comment on the applicability of lm

Plot 

      a) Res vs independent variable

      b) Sres vs Independent variable
      c) qqplot and add a qqline.

Solution:

As the residual plot is not a random but shows somewhat a parabolic pattern so it can be stated that linear model is not applicable in the case.

Assignment 1B

Based on alpha pluto data: pluto is dependent variable and alpha is the independent variable.

Fit lm and comment on the applicability of lm
      a) Plot Res vs independent variable

Output:

b) Plot Sres vs independent variable

Output:

Since the above plot does not show any pattern and random in nature so we can safely apply the linear model.

c) qqplot and qqline

Output:

Assignment 2

Based on the chair type and comfort level data: Determine whether the comfort level given by all the types of chairs are same using the ANOVA technique.

Output:

As seen from the solution the p value comes out to be 0.687,which is greater than 5%,our confidence interval of 95%.So we can not reject the null hypothesis.