An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. x 4 12 14 18 23 30 40 49 55 67 72 83 96 112 127 y 4 10 13 15 15 25 27 47 38 46 53 68 82 99 104 USE SALT (a) Does a scatter plot of the data support the use of the simple linear regression model? o Yes, the scatterplot shows a reasonable linear relationship. Yes, the scatterplot shows a random scattering with no pattern. O No, the scatterplot shows a reasonable linear relationship. O No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four decimal places.) m
An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. x 4 12 14 18 23 30 40 49 55 67 72 83 96 112 127 y 4 10 13 15 15 25 27 47 38 46 53 68 82 99 104 USE SALT (a) Does a scatter plot of the data support the use of the simple linear regression model? o Yes, the scatterplot shows a reasonable linear relationship. Yes, the scatterplot shows a random scattering with no pattern. O No, the scatterplot shows a reasonable linear relationship. O No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four decimal places.) m
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Question
![An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular
location. The accompanying values were read from the plot.
X
4 12 14 18 23 30 40 49 55 67 72 83 96 112 127
y 4 10 13 15 15
25 27 47 38 46 53 68 82 99 104
USE SALT
(a) Does a scatter plot of the data support the use of the simple linear regression model?
Yes, the scatterplot shows a reasonable linear relationship.
O Yes, the scatterplot shows a random scattering with no pattern.
O No, the scatterplot shows a reasonable linear relationship.
O No, the scatterplot shows a random scattering with no pattern.
(b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal
places.)
slope
intercept
(c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four
decimal places.)
m³
(d) Calculate a point estimate of the standard deviation o. (Round your answer to two decimal places.)
3
m
(e) What proportion of the observed variation in runoff volume can be attributed to the simple linear regression relationship
between runoff and rainfall? (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc781781c-178e-40a8-bd6a-be56babe6242%2Fa1bfd9df-0d2b-411b-aebb-d8a140e48900%2Ftkf68w4_processed.png&w=3840&q=75)
Transcribed Image Text:An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular
location. The accompanying values were read from the plot.
X
4 12 14 18 23 30 40 49 55 67 72 83 96 112 127
y 4 10 13 15 15
25 27 47 38 46 53 68 82 99 104
USE SALT
(a) Does a scatter plot of the data support the use of the simple linear regression model?
Yes, the scatterplot shows a reasonable linear relationship.
O Yes, the scatterplot shows a random scattering with no pattern.
O No, the scatterplot shows a reasonable linear relationship.
O No, the scatterplot shows a random scattering with no pattern.
(b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal
places.)
slope
intercept
(c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four
decimal places.)
m³
(d) Calculate a point estimate of the standard deviation o. (Round your answer to two decimal places.)
3
m
(e) What proportion of the observed variation in runoff volume can be attributed to the simple linear regression relationship
between runoff and rainfall? (Round your answer to four decimal places.)
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