Question

/10 points B8BasicStat7 4.R.005 Bighorn sheep are besutiful wild animals found throughout the westem United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x-1, y-14 means that 14% of the bighorn sheep between i and 2 years old died. A random sample of Arizona bighon sheep gave the following information: 15.2 18.5 14.4 19.6 20.0 (a) Draw a scatter diagram for the date. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobes website (b) Find x, Y, b, and the equation of the least squares line. ssttar dianram of oart (a)
Plot the line on the scatter diagram of part (a). Mortality Rate Mortality Rate 24 24 20 18 16 20 18 16 14 12 Age OO2 3 4 5 6 Mortality Rate Mortality Rate 24 24 20 18 16 14 16 14
Mortality Rate Mortality Rate 24 24 20 18 16 14 12 20 18 16 14 12 Age (c) Find the sample correlation coefficient r and the coeficient of determination r2. (Round your answers to three decimal places) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) Submit Answer Save Progress
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Answer #1

a) Scatter Diagram: Top Left Scatter Diagram is correct

b)

3 1

87.7_17.54 7-15%. = 87.7

Use the following equations to find a and b ΣΥ . Σ x2-Σχ. ΣΧΥ 87.7-55-15-273.8 5.55 15 ะ 14.33 a- n.ΣΧΥ-Σχ.ΣΥ 5.273.8-15.87.7 2 1.07 5.55 (15) Substitute a and b in regression equation formula y=a+b-x y 14.33 + 1.07-z

c) Correlation Coefficient :

Use the following formula to work out the correlation coefficient. Tt 5.273.8-15.87.7 0.6567 5.55- 15 5 1564.81 87.72

r = 0.657

r2 = (0.657)2 = 0.431

43.1% of the variation in y is explained by the least square model

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