Re-write research question and double check hypothesis research question :- As we know that there is large differences in price and quality of the wine. Meant to be aged so hard to tell if wine will be good when it is on the market, so the challenge is to predict the price of the wine, with given set of variables. Describe why this question is appropriate for the selected statistical test : Since the variable under study is not deterministic and hence statistical procedure has to be applied for its prediction propose. Here we have used multiple linear regression as here there is only one study variable and set of independent variables which are related to the study variable and so this statistical test is appropriate. Variables attributes: Year- Continuous Variable (integer) Price- Continuous Variable(numeric) Winterain- Continuous Variable(integer) Grwing_season_Temperature- Continuous Variable(numeric) HarvestRain- Continuous Variable(integer) Age- Continuous Variable(integer) Statepopulation- Continuous Variable(numeric) Operational Definitions: Year- Year in which it produced (Treated as ID no significance in model development) Price- Price of the wine Winterain- Winter Rain in ml Grwing_season_Temperature- Continuous Variable(numeric) HarvestRain- Harvest season rain Age- Time since Vintage Statepopulation- Population of the concerned state Do the variables fit the qualifications for the selected statistical test? Explain. Ans- This case we are going to conduct a multiple linear regression, because: Study Variable and the dependent variables are continuous Dependent variable (Price ) is also continuous Significant dependency based on independent and dependent variable (Scatter plot of dependent variable with independent variables ) What type of correlation would you expect to find for this study (i.e., positive or negative), if this type of test was chosen? Explain. Ans- Correlations(use R to find the correlations): cor(Price ,HarvestRain) = -0.5633219 cor(Price , Winterain) = 0.1366505 cor(Price ,Grwing_season_Temperature) = 0.6595629 cor(Price,Age) = 0.4477679 cor(Price, Statepopulation) = -0.4668616 What predictions might you be interested in making with these variables if the correlation is found to be significant? Ans - To predict the Price of Wine, using Multiple Linear Regression List the statistical notation and written explanation for the null and alternative hypotheses. Here we will study whether the model that is multiple linear regression is valid or not at some confidence level say 95% So here Null Hypothesis: Model is significant Against alternative: Model is not significant At 95% confidence level. Moreover, after the above null hypothesis is accepted the we will proceed to check whether the different variables are statistically significant or not. Describe the types of errors that could occur. 1. It may happen that the variable under study may not be linearly related at all with the independent variables 2. It may happen that the set of variable that are used for prediction propose may have a non-sense correlation with the study variable and hence the regression model is not at all useful 3. Apart from these above type of modelling error it may happen that there are error while collecting data regarding the independent and the dependent variables that type of error may be mostly human error that is incurred while collecting the data 4. It may happen that the initial assumption for the modelling such as the constant variance and the normality of the error is not valid. In that case the model will not give you the desirable results This written assignment is based on the work conducted in the \"Correlation and Regression\" discussion forum. Based on this initial work, feedback received, and additional research, students should submit a basic research proposal that calls for the use of a simple linear, multiple, or logistic correlation/regression. The paper should be APA formatted as a research proposal, and contain approximately 990-1320 words of content. Include a title page, and a reference page that includes any resources utilized. Please include the following in the research proposal: 1. Introduction (1-2 paragraphs) Present the research question of interest. Explain how the chosen statistical test applies to this research question. Provide the statistical notation and written explanations for the null and alternative hypotheses. 2. Methods (1 paragraph) Participants List how many participants will be selected. Identify who will be the participants and their major demographic characteristics (e.g., sex, age, etc.). Explain how participants will be selected for the study. 3. Procedures (1-2 paragraphs) Identify the variables in the study. Describe each variable's scale of measurement (nominal, ordinal, interval, or ratio) and characteristics (i.e., discrete vs. continuous, qualitative vs. categorical, etc.). Provide an operational definition for each variable, explaining how the variables will be measured. 4. Results (2-3 paragraphs) Describe the statistical test that will be conducted. Be sure to include why the test was chosen and why it is appropriate for this study. Include in the discussion the necessary assumptions that should be met for the chosen test and how these will be addressed. Identify the information that will be obtained from the results of this test and what will be needed to draw conclusions regarding the hypotheses. Be sure to include a discussion of applicable critical and calculated values, p levels, confidence intervals, effect sizes, posthoc tests, and/or tables. Discussion (1 paragraph) Identify any expected biases, assumptions, or faults with the proposed study and the use of the identified statistical test. Explain what conclusions can and cannot be made for this study, and using this statistical test. Describe the practical significance or importance of the results