Just need answers to part c please. Bighorn sheep are beautiful wild animals fou

Question

Just need answers to part c please. Bighorn sheep are beautiful wild animals found throughout the western 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 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 14.8 20.5 14.4 19.6 20.0 x = 15; y = 89.3; x2 = 55; y2 = 1630.81; xy = 277.4 (b) Find x, y, b, and the equation of the least squares line. x = 3 Correct: Your answer is correct. y = 17.86 Correct: Your answer is correct. b = .95 Correct: Your answer is correct. y = 15.01 Correct: Your answer is correct. + .95 Correct: Your answer is correct. x (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) %

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 15.01 + 0.95 x
Sample size: 5
R (correlation coefficient) = 0.50130705
R-sq = 0.25130875
Estimate of error standard deviation: 2.9937156

Parameter estimates:

Analysis of variance table for regression model:

Hence,

c) Sample correlation coefficient (r) = 0.501

Coefficeint of determination (r2) = 0.251

Percentage of variation that can be explained by the least squares model = 25.1%

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 15.01 3.1398355 0 3 4.7805053 0.0174 Slope 0.95 0.94669601 0 3 1.00349 0.3896

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