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Class Assessment 1 : 2021 5em 1 (102 out of 100) Question 1: An engineer is interested in studying the influence of an input (X] of a machine on its output (Y]. 63 experiments have been conducted, with the value of X and Y being recorded. A regression model was built up to study the relationship between X and Y, with the following output provided. Using their regression model they obtain an estimated expected output 3.36 for x=0, Make use of all the provided information to answer the following questions: / a. Work out the values of a1-320, which are Regression Analysis: y versus x missing in the output. . What is the correlation between X and Y. Analysis of Variance c. Construct the 95% confidence intervals for Source OF Adjss Adj MS F-Value P-Value the constant and the slope of the Roogrewsion 73356 M4 0.013 regression model. Error 30-4-139 a10 d. Test the hypotheses whether the slope Total 12 equals to one of the following 4 values; Model Summary 1, 0.1, 0.01, -0,02. R-54 e. Test the hypotheses whether the slope a13 81476 is significant for each of the following Coefficients four values of the significant level: Term Coef SE Coef T-Value P-Value (=5%, a=3%, a= 1%, a=0.1. Constant a15 a16 -0.09 0.928 a17 819 (30+2+4+2+2=40 points) Regression Equation y = 820 + 2.347 x