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Instructions for a calculus i project that involves estimating a demand function using regression analysis and assessing the statistical significance of the coefficients using t-statistics. The project requires students to perform various steps, including setting up the regression model, interpreting the regression coefficients, and determining the statistical significance of the coefficients. Likely intended for students enrolled in a calculus i course for the natural sciences at wilfrid laurier university. The project aims to help students develop skills in regression analysis, hypothesis testing, and the application of calculus concepts to real-world problems in the natural sciences.
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Start Excel and open the Data worksheet. Select the Data Analysis in the Analyze group of the Data tab of the Ribbon. If the Data Analysis add-in is not available, you will need to add it. Select Regression and click OK. In the Regression dialog box: Select cells A1:A13 as the Input Y Range (the dependent variable). Select cells B1:C13 as the Input X Range (the independent variables). Check the Labels box to indicate that the first row contains column labels. Do not check any additional boxes. Choose cell E1 on the Data worksheet as the Output Range. Click OK.
In cells E7, G7, and J7, enter the coefficients of the estimated demand function using cell references to the values obtained on the Data worksheet.
In cell L10, enter the value of the t-statistic for the coefficient of P using a cell reference and the Excel ABS function. In cells C11 and H11, determine whether the absolute value of the t- statistic for the coefficient of P is greater than the critical value and whether the coefficient is significantly different from zero. In cell L12, enter the value of the t-statistic for the coefficient of P using cell references and the Excel ABS function. In cells C13 and H13, determine whether the absolute value of the t- statistic for the coefficient of P0 is greater than the critical value and whether the coefficient is significantly different from zero.
In cell E16, enter the value of the R-squared using a cell reference.
Close the workbook and then exit Excel.