Solve correctly for all the options ### Educational Content on Regression Analysis#### a. Compute the three sums of squares: SST, SSR, and SSE, using the defining formulas.- **SST (Total Sum of Squares):** \( 102.75 \) - *Type an integer or a decimal. Do not round.*- **SSR (Regression Sum of Squares):** \( 68.45 \) - *Type an integer or a decimal. Do not round.*- **SSE (Error Sum of Squares):** \( 34.3 \) - *Type an integer or a decimal. Do not round.*#### b. Verify the regression identity, \( \text{SST} = \text{SSR} + \text{SSE} \). Is this statement correct?- Yes (☑)- No (☐)#### c. Determine the value of \( r^2 \), the coefficient of determination.- \( r^2 = 0.6662 \) - *Round to four decimal places as needed.*#### d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression.- \( \% \) - *Round to two decimal places as needed.*This exercise is designed to help students understand regression analysis, specifically the computation and interpretation of sums of squares and the coefficient of determination. **Analyzing a Regression Equation: Computing Sums of Squares****Objective:**This exercise involves using a given table and regression equation to calculate the three sums of squares: SST (Total Sum of Squares), SSR (Regression Sum of Squares), and SSE (Error Sum of Squares).**Given Data:**| x | y ||---|----|| 3 | 0 || 4 | 3 || 2 | 3 || 0 | -5 |**Regression Equation:**\[\hat{y} = -3.8 + 1.8x\]**Task:**a. Compute the three sums of squares (SST, SSR, and SSE) using the defining formulas.**Instructions:**- Calculate SST, the measure of total variation in the observed data.- Determine SSR, which explains the portion of the total variation explained by the regression.- Find SSE, representing the variation due to differences between observed and predicted values.**Input:**You will be required to input the computed SST value:- **SST =** [Type an integer or a decimal. Do not round.]Use the formulas and the regression equation to derive these values accurately.

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a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SST = 102.75 (Type an integer or a decimal. Do not round.) SSR = 68.45 (Type an integer or a decimal. Do not round.) SSE = 34.3 (Type an integer or a decimal. Do not round.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? Yes No c. Determine the value of r, the coefficient of determination. = 0.6662 (Round to four decimal places as needed.) d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression. % (Round to two decimal places as needed.)