Question #2: The number of murders and robberies per 100,000 population for a random selection of states is shown. Murders 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies 25.3 14.3 151.6 91.1 80 49 173 95.8 1. Is there a relationship between "murders" and "robberies"? (Interpretation-Strength & Direction) nExy - (Ex)(Ey) /nEx² – (Ex)² /nEy² - (Ey)² r = 2. Is the relationship significant at a = 0.05? (Interpretation) п - 2 t = r 1- r2 3. Predict ŷ, given x = 12 (Interpretation & Linear Plot) ΣΥΣx-Σx Σw ηΣx2 -Σ x)? ηΣ xy-Σ x) (Σ) nEx² – (Ex)² a = (intercept) ŷ = a + bx b = (slope)

Question #2: The number of murders and robberies per 100,000 population for a random selection of states is shown. Murders 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies 25.3 14.3 151.6 91.1 80 49 173 95.8 1. Is there a relationship between "murders" and "robberies"? (Interpretation-Strength & Direction) nExy - (Ex)(Ey) /nEx² – (Ex)² /nEy² - (Ey)² r = 2. Is the relationship significant at a = 0.05? (Interpretation) п - 2 t = r 1- r2 3. Predict ŷ, given x = 12 (Interpretation & Linear Plot) ΣΥΣx-Σx Σw ηΣx2 -Σ x)? ηΣ xy-Σ x) (Σ) nEx² – (Ex)² a = (intercept) ŷ = a + bx b = (slope)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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15. Diameter of Douglas Fir Trees The diameter of the Douglas fir tree is measured at a height of 1.37 meters. The S following data represent the diameter in centimeters of a random sample of 12 Douglas firs in the western Washington Cascades. 156 162 147 173 147 190 130 101 159 113 181 109 Source: L. Winter. "Live Tree and Tree-Ring Records to Reconstruct the Structural Development of an Old-Growth Douglas Fir/Western Hemlock Stand in the Western Washington Cascades." Corvallis, OR: Forest Science Data Bank, 2005. (a) Obtain a point estimate for the mean and standard deviation diameter of a Douglas fir tree in the western Washington Cascades. (b) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the data do not contain any outliers. The figures show the normal probability plot and boxplot. The correlation between the tree diameters and expected z-scores is 0.982. Use Option 1 or Option 2 to determine if the…
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