A number of studies have shown lichens (certain plants composed of an alga and a fungus) to be excellent bio-indicators of air pollution. An article gives the following data (n = 13) on x = NO3 we deposition (g N/m2) and y = lichen (% dry weight): x 0.05 0.10 0.11 0.12 0.31 0.37 0.42 0.58 0.68 0.68 0.73 0.85 0.92 y0.53 0.58 0.45 0.54 0.57 0.53 1.03 0.89 0.90 1.02 0.91 1.00 1.66 Predictor Estimate Constant no3 depo 0.39329 0.9286 Standard Error 0.09566 t Stat 4.11 p-value 0.002 0.1767 5.26 0.000 s = 0.1866 R-sq 71.5% R-sq (adj) 68.9% (a) What are the least square estimates of Bo and B₁? (Round your answers to three decimal places.) bo= b₁ = (b) What is the margin of error for a 95% CI for B₁? (Round your answer to four decimal places.) Margin of Error= | (c) Predict lichen N for an NO3 deposition value of 0.7. (Round your answer to three decimal places.) % dry weight (d) What is the estimate of a? (Round your answer to four decimal places.) S= % dry weight
A number of studies have shown lichens (certain plants composed of an alga and a fungus) to be excellent bio-indicators of air pollution. An article gives the following data (n = 13) on x = NO3 we deposition (g N/m2) and y = lichen (% dry weight): x 0.05 0.10 0.11 0.12 0.31 0.37 0.42 0.58 0.68 0.68 0.73 0.85 0.92 y0.53 0.58 0.45 0.54 0.57 0.53 1.03 0.89 0.90 1.02 0.91 1.00 1.66 Predictor Estimate Constant no3 depo 0.39329 0.9286 Standard Error 0.09566 t Stat 4.11 p-value 0.002 0.1767 5.26 0.000 s = 0.1866 R-sq 71.5% R-sq (adj) 68.9% (a) What are the least square estimates of Bo and B₁? (Round your answers to three decimal places.) bo= b₁ = (b) What is the margin of error for a 95% CI for B₁? (Round your answer to four decimal places.) Margin of Error= | (c) Predict lichen N for an NO3 deposition value of 0.7. (Round your answer to three decimal places.) % dry weight (d) What is the estimate of a? (Round your answer to four decimal places.) S= % dry weight
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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