In: Statistics and Probability
1. (Data Below) Outside Magazine tested 9 different models of
day hikers and backpacking boots. The...
1. (Data Below) Outside Magazine tested 9 different models of
day hikers and backpacking boots. The following data show the upper
support and price for each model tested. Upper support was measured
using a rating from 1 to 5, with a rating of 1 denoting average
upper support and a rating of 5 denoting excellent upper
support.
- Use these data to develop an estimated regression equation to
estimate the price of a day hiker and backpacking boot given the
upper support rating. Write down the estimated regression equation
for this problem.
- At a .10 level of significance, determine whether upper support
and price are related.
- Would you feel comfortable using the estimated regression
equation developed in part (a) to estimate the price for a day
hiker or backpacking boot given the upper support rating? Explain
the basis for your answer.
- Estimate the price for a day hiker with an upper support rating
of 4.
- Find the 90% Confidence and Prediction Intervals for the data
in part (d).
- Provide an interpretation for the slope of the estimated
regression equation.
Model |
Upper Support |
Price |
Super Raid |
2 |
120 |
Prime |
3 |
125 |
Challenger |
3 |
130 |
GTX |
3 |
135 |
Magimio |
3 |
150 |
LL |
5 |
189 |
Kibo |
5 |
190 |
Asolo |
4 |
195 |
GTX |
4 |
200 |