As an engineer employed by a sports company, you are asked to determine the effect of color of jogging clothing and amount of lighting on ‘visibility distance’ (i.e. distance from the jogger that a person can visibly identify them). You choose three different colors of clothing (white, black, purple) and two levels of lighting (500, 1000 lux). You use five subjects in your experiment. For each combination of clothing color and lighting level, each of the subjects is placed a great distance from the jogger. As the jogger moves closer to the subject, you record the farthest distance at which the participant first sees the jogger.
Subj Color Lighting Distance
1 black 1000 244
1 purple 500 182
1 black 500 123
1 white 500 178
1 white 1000 185
1 purple 1000 189
2 white 500 149
2 black 1000 224
2 purple 1000 175
2 white 1000 193
2 black 500 108
2 purple 500 162
2 purple 500 193
3 black 500 111
3 white 500 203
3 black 1000 276
3 purple 1000 195
3 white 1000 195
3 white 1000 209
4 black 500 105
4 black 1000 247
4 white 1000 165
4 purple 1000 210
4 purple 5000 172
4 white 500 170
5 white 500 189
5 black 1000 253
5 purple 500 207
5 purple 1000 223
5 white 1000 244
5 black 500 137
a) Analyze the data using the appropriate model. Please explain about Residuals?
b) Which clothing color and lighting level maximizes a jogger’s visibility distance? Why?