DISCUSSION 1: In this discussion you will be interpreting output from your Python Scripts for the Module Six Discussion. If you did not complete the Module Six discussion, please complete that before working on this assignment.Last week’s discussion involved development of a multiple regression model that used miles per gallon as a response variable. Weight and horsepower were predictor variables. You performed an overall F-test to evaluate the significance of your model. This week, you will evaluate the significance of individual predictors. You will use output of Python script from Module Six to perform individual t-tests for each predictor variable. Specifically, you will look at Step 5 of the Python script to answer all questions in the discussion this week.In your initial post, address the following items:Is at least one of the two variables (weight and horsepower) significant in the model? Run the overall F-test and provide your interpretation at 5% level of significance. See Step 5 in the Python script. Include the following in your analysis:Define the null and alternative hypothesis in mathematical terms and in words.Report the level of significance.Include the test statistic and the P-value. (Hint: F-Statistic and Prob (F-Statistic) in the output).Provide your conclusion and interpretation of the test. Should the null hypothesis be rejected? Why or why not?What is the slope coefficient for the weight variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value, , for weight in Python output. Recall that this is the individual t-test for the beta parameter.) See Step 5 in the Python script.What is the slope coefficient for the horsepower variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value, , for horsepower in Python output. Recall that this is the individual t-test for the beta parameter.) See Step 5 in the Python script.What is the purpose of performing individual t-tests after carrying out the overall F-test? What are the differences in the interpretation of the two tests?What is the coefficient of determination of your multiple regression model from Module Six? Provide appropriate interpretation of this statistic. Be sure to clearly communicate your ideas using appropriate terminology. DISCUSSION 2Use the link in the Jupyter Notebook activity to access your MODULE 8 DISCUSSION Python script. In this discussion, you will apply the statistical concepts and techniques covered in this week's reading about one-way analysis of variance (ANOVA). An investment analyst is evaluating the 10-year mean return on investment for industry-specific exchange-traded funds (ETFs) for three sectors: financial, energy, and technology. The analyst obtains a random sample of 30 ETFs for each sector and calculates the 10-year return of each ETF. The analyst has provided you with this data set. Run Step 1 in the Python script to upload the data file.Using the sample data, perform one-way analysis of variance (ANOVA). Evaluate whether the average return of at least one of the industry-specific ETFs is significantly different. Use a 5% level of significance.In your initial post, address the following items:Define the null and alternative hypothesis in mathematical terms and in words.Report the level of significance.Include the test statistic and the P-value. See Step 2 in the Python script.Provide your conclusion and interpretation of the test. Should the null hypothesis be rejected? Why or why not?Does a side-by-side boxplot of the 10-year returns of ETFs from the three sectors confirm your conclusion of the hypothesis test? Why or why not? See Step 3 in the Python script.Finally, be sure to review the Discussion Rubric (ATTACHED) to understand how you will be graded on this assignment.

Option 2: World PopulationsInstructionsThere are 195 sovereign countries in the world today that are officially recognized. One can choose to look at many types of data coming from these countries, as there is a plethora of existing information. For this assignment you will be looking at populations of cities within India at four different points in time (depending on when a census was taken). The data for these cities can be found in the file named Populations. Use all of the data points for each of the years given, but please note that not every city has a population for each census.Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to show how the populations of the cities vary over the years (growth rates). Be sure to include the following three (3) items in your report.Compute descriptive statistics (5-number summary, mean, mode, range and standard deviation) for each of the years along with an explanation of what the descriptive statistics tell us about the different years. Are they continually growing, or is there a decrease in the number of people?Determine which cities, if any, should be considered outliers in each of the years? If there are any outliers in any year, please list them and state for which year each one is an outlier. Use the z-score method to determine outliers for this question.Determine the correlation coefficient between the first year and each of the other years. Please provide an explanation of the relationships.Paper RequirementsWrite a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in the CSU-Global Guide to Writing and APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body which answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.

see the attachment and answer the questions.short answers.Thanks