2. Describe the form, direction, and strength of the relationship between these variables. Does there appear to be any outliers? 3. The equation of least-squares regression line is y = 6.871 + 0.061x. This line goes through the points (0, 6.9) and (700, 49.5). Use these points to add the regression line to your scatterplot above. 4. One animal is farthest from the regression line and is an outlier for these two variables. Find the name of this animal and write a sentence describing how its position differs from the overall relationship among the other animals. 5. The elephant has the longest gestation period of these animals. a. Considering only the gestation variable, would you say that the elephant is an outlier? Write a sentence or two explaining why or why not? b. Considering both variables and the relationship between average life span and average gestation period, would you say the elephant is an outlier now? Write a sentence or two explaining why or why not? 6. Apart from the animals in questions 4 & 5, name any other animals that have an average life span substantially larger or shorter than what is predicted from their gestation period by the regression line. 7. The average gestation period for the black rhino is 450 days. a. Using the equation for the regression line, predict the average life span of the black rhino. b. Look up the actual average life span for a black rhino and be sure to include the source of your data. How does your prediction compare to the actual value?
2. Describe the form, direction, and strength of the relationship between these variables. Does there appear to be any outliers? 3. The equation of least-squares regression line is y = 6.871 + 0.061x. This line goes through the points (0, 6.9) and (700, 49.5). Use these points to add the regression line to your scatterplot above. 4. One animal is farthest from the regression line and is an outlier for these two variables. Find the name of this animal and write a sentence describing how its position differs from the overall relationship among the other animals. 5. The elephant has the longest gestation period of these animals. a. Considering only the gestation variable, would you say that the elephant is an outlier? Write a sentence or two explaining why or why not? b. Considering both variables and the relationship between average life span and average gestation period, would you say the elephant is an outlier now? Write a sentence or two explaining why or why not? 6. Apart from the animals in questions 4 & 5, name any other animals that have an average life span substantially larger or shorter than what is predicted from their gestation period by the regression line. 7. The average gestation period for the black rhino is 450 days. a. Using the equation for the regression line, predict the average life span of the black rhino. b. Look up the actual average life span for a black rhino and be sure to include the source of your data. How does your prediction compare to the actual value?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer the following:
2. Describe the form, direction, and strength of the relationship between these variables. Does there appear to be any outliers?
3. The equation of least-squares regression line is y = 6.871 + 0.061x. This line goes through the points (0, 6.9) and (700, 49.5). Use these points to add the regression line to your scatterplot above.
4. One animal is farthest from the regression line and is an outlier for these two variables. Find the name of this animal and write a sentence describing how its position differs from the overall relationship among the other animals.
5. The elephant has the longest gestation period of these animals.
a. Considering only the gestation variable, would you say that the elephant is an outlier? Write a sentence or two explaining why or why not?
b. Considering both variables and the relationship between average life span and average gestation period, would you say the elephant is an outlier now? Write a sentence or two explaining why or why not?
6. Apart from the animals in questions 4 & 5, name any other animals that have an average life span substantially larger or shorter than what is predicted from their gestation period by the regression line.
7. The average gestation period for the black rhino is 450 days.
a. Using the equation for the regression line, predict the average life span of the black rhino.
b. Look up the actual average life span for a black rhino and be sure to include the source of your data. How does your prediction compare to the actual value?
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