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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.

  1. 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.
  2. At a .10 level of significance, determine whether upper support and price are related.
  3. 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.
  4. Estimate the price for a day hiker with an upper support rating of 4.
  5. Find the 90% Confidence and Prediction Intervals for the data in part (d).
  6. 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

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orchestra answered 2 years ago
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