(Solved): Linear regresion Linear Regression 1) For the data given below, calculate the coefficients Bo, B, ...

Linear Regression 1) For the data given below, calculate the coefficients Bo, B?, the least squares equation, the correlation coefficient (r), the coefficient of determination (r2), Estimate of error standard deviation (s), and the standard deviations of B, and B. a) using Excel and the formulas given on the second page b) using Minitab software; also draw the scatterplot and the plot of residuals vs. fitted values. X 31,00 1 91,00 4 154,00 8 117,00 170,00 16 223,00 20 2) For the data given below, find the coefficients Bo, B?, the least squares equation, the correlation coefficient (r), the coefficient of determination (r²), Estimate of error standard deviation (s), and the standard deviations of , and , c) using Excel and the formulas given on the second page d) using Minitab software; also draw the scatterplot and the plot of residuals vs. fitted values. X 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.45 0.2 0.34 0.58 0.7 0.57 0.55 0.44 12 Correlation coefficient: Coefficient of determination: ?? ? Slope: ? = Intercept: Formulas-Linear regression tul ?(x-5). – 5) ?( ?x) (?(-2) n ??-5) - ??-5) i=1 11 ?(-1) ?(x ? x)(y – 5) ?(x ? x) 7-1 ? =y-Br late of error stan The standard deviations of , and 1 x² Spo =S n ((x? - x)² PL inl deviation: P (1-12)?(-5) n-2 S B? S n ?(x,-x)² i=1