Q8 Please answer fill-ins. ### Simple Linear Regression and Rainfall Data AnalysisAn article provided a scatter plot along with the least squares line of \( x = \) rainfall volume (\(m^3\)) and \( y = \) runoff volume (\(m^3\)) for a specific location. The values given were extracted from the plot. #### Data Points- **Rainfall volume (\(x\))**: 5, 12, 14, 19, 23, 30, 40, 48, 55, 67, 72, 83, 96, 112, 127- **Runoff volume (\(y\))**: 4, 10, 13, 15, 15, 25, 27, 45, 38, 65, 72, 82, 99, 102#### Questions and Analysis1. **Scatter Plot Analysis** *(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. - Yes, the scatterplot shows a random scattering with no pattern. - **No, the scatterplot shows a random scattering with no pattern.** - No, the scatterplot shows a reasonable linear relationship.2. **Estimation of Slope and Intercept** Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) - **Slope**: \_\_\_\_\_ - **Intercept**: \_\_\_\_\_3. **Runoff Volume Prediction** Calculate a point estimate of the true average runoff volume when rainfall volume is 47. (Round your answer to four decimal places.) - Estimated Runoff Volume: \_\_\_\_\_ \(m^3\)4. **Standard Deviation Estimate** Calculate a point estimate of the standard deviation \(\sigma\). (Round your answer to two decimal places.) - Standard Deviation: \_\_\_\_\_5. **Proportion of Variance Explained** 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.) - Proportion of Variance: \_\_\_\_\_### Explanation of the GraphThe scatter plot, not provided here

Given, Independent variable (x) = rainfall volume Dependent variable (y) = runoff volume By using…

n article gave a scatter plot along with the least squares line of x = rainfall volume (m²) and y = runoff volume (mº) for a particular location. The x 5 12 14 19 23 30 40 48 55 67 72 83 96 112 127 y 4 10 13 15 15 25 27 45 38 46 53 72 82 99 102 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