Contact the lecturer immediately if you have diculty accessing this data set. The variables that appear in the data frame are as follows: Distance Distance travelled in mm Paper A4 paper weighing...

Contact the lecturer immediately if you have diculty accessing this data set.
The variables that appear in the data frame are as follows:
Distance Distance travelled in mm
Paper A4 paper weighing either 80gms = 1, or 50gms = 2
Angle Horizontal = 1, 45 degrees upward = 2
Design High-performance Dual Glider = 1, Incredibly Simple Glider = 2
161.221: Assignment 2 Page 1 of 3
(a) Is this a balanced experimental design? [1 marks]
(b) What type of format are each of the variables stored as? You can use str() to nd
out. We would like all variables apart from Distance (which is meant to be numeric)
to be treated as factors. Alter the format if necessary. [2 marks]
(c) Fit a linear model with Distance as a numeric response, including Paper, Angle and
Design as factors, and the Paper:Design factor interaction. Write down the R code
that you use and the ANOVA table for your tted model. [1 marks]
(d) Interpret the ANOVA output. Specically, indicate whether Distance depends on
Paper and Design, and whether the eect of Paper depends on the level of Design.
[2 marks]
(e) For the tted model, write down the tted value for a plane made of 50gms paper,
thrown at 45 degrees upwards and designed as a high-performance dual glider.
[2 marks]
(f) What combination of Paper and Design should be used in order to maximize the
distance the plane travels?