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PERFORMANCE TASK (SINGLE OUTPUT) LEARNING COMPETENCY: The learners solve problems involving regression analysis. PERFORMANCE STANDARD: The learner is able to perform correlation and regression analyses

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PERFORMANCE TASK (SINGLE OUTPUT) LEARNING COMPETENCY: The learners solve problems involving regression analysis. PERFORMANCE STANDARD: The learner is able to perform correlation and regression analyses on real-life problems in different disciplines. SITUATION: The Minerale Cosmetics Company where you are working is conducting a program that aims to improve the company's response to consumers' demands. You are requested to gather information from 2017-2018 in your file regarding your company's product demand and sales. The gathered data are as follows: Period Product Demand Sales (in thousands) (in thousands) January 2017 16.5 3 005 February 2017 13.0 2 340 March 2017 14.2 2 450 April 2017 17.3 5 905 May 2017 20.0 6 050 June 2017 11.6 2 020 July 2017 11.4 2 045 August 2017 18.7 5 555 September 2017 17.5 6 090 October 2017 16.5 5 670 November 2017 15.9 5 400 December 2017 14.2 3 400 January 2018 13.6 2 350 February 2019 21.0 3 560 March 2018 14.5 4 200 April 2018 15.0 4 400 May 2018 15.9 5 950 June 2018 16.8 6 500 July 2018 17.1 7 050 August 2018 20.3 8 505 September 2018 12.8 3 500 October 2018 14.5 3 800 November 2018 16.5 4 100 December 2018 18.9 5 650 GOAL: Your goal is to provide data analysis to the Top Management regarding the causal relationship between sales and demand of the product your company is selling.ROLE: You are a statistician who will conduct simple regression analysis in determining a model that can predict future sales values given the company's demand. PRODUCT: You are expected to prepare a statistical report using the following: a} Present the scatterplot and the regression line. b} Compute for the value of r. c} Test the significance of r. d} Present the correct regression model. AUDIENCE: The result of the statistical report will be presented to the Bank manager. STANDARDS: Your output will be evaluated based on the following: Accuracy computation of statistical tools, accuracv of the regression model, clarity.r of presentation, and content of the written presentation

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