Mathematics, 30.07.2021 08:40 hePandaKing3750
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 14.2 19.1 14.4 19.6 20.0
Σx = 15; Σy = 87.3; Σx2 = 55; Σy2 = 1557.97; Σxy = 274
least-squares line equation= 13.83+1.21x
r= 0.659
r^2= 0.4343
Explain what these measures mean in the context of the problem.
The correlation coefficient r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate.
The coefficient of determination r2 measures the explained variation in mortality rate by the corresponding variation in age of a bighorn sheep.
Both the correlation coefficient r and coefficient of determination r2 measure the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The correlation coefficient r2 measures the strength of the linear relationship between a bighorn 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 bighorn sheep.
The coefficient of determination r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The correlation coefficient r2 measures the explained variation in mortality rate by the corresponding variation in age of a bighorn 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.)
t =
Find or estimate the P-value of the test statistic.
P-value > 0.250
0.125 < P-value < 0.250
0.100 < P-value < 0.125
0.075 < P-value < 0.100
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
Reject the null hypothesis, there is sufficient evidence that > 0.
Reject the null hypothesis, there is insufficient evidence that > 0.
Fail to reject the null hypothesis, there is sufficient evidence that > 0.
Fail to reject the null hypothesis, there is insufficient evidence that > 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 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. Given the lack of significance of r, prediction from the least-squares model is practical. Given the lack of significance of r, prediction from the least-squares model might be misleading.
Answers: 1
Mathematics, 21.06.2019 19:30
According to the data set, where should the upper quartile line of the box plot be placed?
Answers: 1
Mathematics, 21.06.2019 21:30
Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.
Answers: 1
Mathematics, 22.06.2019 01:30
12.0 million metric tons of beef produced annually in the u.s. out if 65.1 mikkion metric tons of produced annually worldwide
Answers: 1
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the ag...
Health, 02.07.2019 15:50
Mathematics, 02.07.2019 15:50
Mathematics, 02.07.2019 15:50
History, 02.07.2019 15:50
Social Studies, 02.07.2019 15:50
Physics, 02.07.2019 15:50
Mathematics, 02.07.2019 15:50
Mathematics, 02.07.2019 15:50
Physics, 02.07.2019 15:50
English, 02.07.2019 15:50
Mathematics, 02.07.2019 15:50