Kindly do not reject helping me with the questions. I am really having trouble understanding and I actually tried to solve by myself and I want to tally my answer. a) I fot F= 32 and p value as 0.000478. However, I am not sure how to calculate c). And I would appreciate if you solve BEING AN EXPERT and do not reject the questions. ### Simple Linear Regression Analysis: Significance Testing#### Problem 2The coefficient of determination (\(R^2\)) of a simple linear regression model based on 10 sample points is 0.80.**a)** Would this regression model be deemed significant (using an F-test) at the significance level of \( \alpha = 0.01 \)?**b)** Find the P-value for the significance of the regression test in (a).**c)** What is the minimum value of \(R^2\) for this model that would lead to significant regression at \( \alpha = 0.01 \)?---In addressing these points, the following steps and explanations are crucial:1. **Coefficient of Determination (\(R^2\))**: This value explains the proportion of the variance in the dependent variable that is predictable from the independent variable. Here, \(R^2 = 0.80\) means 80% of the variance in the dependent variable is predictable from the independent variable.2. **Significance Testing Using F-test**: The F-test helps in determining if the regression model is statistically significant. - **Null Hypothesis (H0)**: The model is not significant, i.e., all the regression coefficients are zero. - **Alternative Hypothesis (H1)**: The model is significant, i.e., at least one of the coefficients is not zero. - Using the F-distribution, the critical value for the F-test at \( \alpha = 0.01 \) and with degrees of freedom \( df_1 = 1 \) (numerator) and \( df_2 = 8 \) (denominator, calculated as sample size minus 2) can be used to compare against the computed F-statistic from the regression model.3. **P-Value Calculation**: The exact P-value can determine how extreme the results are assuming the null hypothesis is true. This involves computing the F-statistic and then using statistical tables or software to find the corresponding P-value.4. **Minimum \(R^2\) Value for Significance**: To determine the minimum \(R^2\) leading to significant regression at \( \alpha = 0.01 \), we need to use the F-distribution tables to find the critical F-value and then solve for \(R^2\).These steps provide a comprehensive review and analysis for significance testing of a simple

Name: Kindly do not reject helping me with the questions. I am really having
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Kindly do not reject helping me with the questions. I am really having trouble understanding and I actually tried to solve by myself and I want to tally my answer. a) I fot F= 32 and p value as 0.000478. However, I am not sure how to calculate c). An