Question
Bighom sheep are beautiful wild animals found throughout the western United States. Let x be the a9e of a bighom sheep (in years), and let
Bighom sheep are beautiful wild animals found throughout the western United States. Let x be the a9e of a bighom 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 bighom sheep between 1 and 2 years old died. A random sample of Arizona bighom sheep gave the following information:
X 1 2 3 4 5
y 1 2.2 20.5 14.4 19.6 20.0
(b)Find the equation of the least-squares line. (Round your answers to two decimal places.
(c) Find r. Find the coefficient of determination. (Round your answers to three decimal places.)4/21/2020
Explain what these measures mean in the context of the problem.
Both the correlation coefficient r and coefficient of determinationmeasure the strength of the linear relationship between a bighom sheep's age and the mortality rate.
The correlation coefficient r measures the strength of the linear relationship between a bighom sheep's age and the
mortality rate. The coefficient of determinationmeasures the explained variation in mortality rate by the corresponding variation in age of a bighom sheep.
The coefficient of determination r measures the strength of the linear relationship beMeen a bighom sheep's age and the
mortality rate. The correlation coefficientmeasures the explained variation in mortality rate by the corresponding variation in age of a bighom sheep.
The correlation coefficientmeasures the strength of the linear relationship between a bighom sheep's age and the mortality rate. The coefficient of determination r measures the explained variation in mortality rate by the corresponding variation in age of a bighom sheep.
(d)Test the claim that the population correlation coefficient is positive at the 1/< level of significance. (Round your test statistic to three decimal places.)
Find or estimate the P-value of the test statistic.
P-value > 0.250
0.125 < P-value < 0.250 I
0.100 < P-value 0.125
0.075 < P-value < 0.100
C 0.050 < P-value < 0.075
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
0.0005 < P-value < 0.005
P-value < 0.0005
Conclusion
Rejet the null hypothesis, there is sufficient evidence that p > 0.
Reject the null hypothesis, there is insufficient evidence that p > 0.
Fail to reject the null hypothesis, there Is sufficient evidence that p > 0.
Fail to reject the null hypothesis, there Is insufficient evidence that p > 0.
(e)Given the result from part (c), is it practical to find estimates of y for a given x value based on the least-squares line model? Explain.
Given the lack of significance of r, prediction from the least-squares model might be misleading.
Given the lack of significance of r, prediction from the least-squares model is practical.
Given the significance of r, prediction from the least-squares model is practical.
Given the significance of r, prediction from the least-squares model might be misleading.
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