Study the following Minitab output from a regression analysis to
predict y from x. a. What is the equation of the regression model?
b. What is the meaning of the coefficient of x? c. What is the
result of the test of the slope of the regression model? Let α =
.10.Why is the t ratio negative? d. Comment on r2 and the standard
error of the estimate. e. Comment on the relationship of the F
value to the t ratio for x. f. The correlation coefficient for
these two variables is 0.9492. Is this result surprising to you?
Why or why not? Regression Analysis: Y versus X The regression
equation is Y = 1.73 + 0.162 X
Predictor Coef SE Coef T Р Constant 1.7332 0.4364 3.97 0.002 X 0.16245 0.01490 10.90 0.000 S = 0.4113 R-Sq = 90.1% R-Sq(adj) = 89.4% Analysis of Variance Source DF SS MS F Р Regression 1 20.098 20.098 118.80 0.000 Residual Error 13 2.199 0.169 Total 14 22.297 *(Round your answer to 1 decimal places.) **(Round your answer to 4 decimal places.) ***(Round your answer to 2 decimal places.) ****(Round your answer to 6 decimal places.)
*(Round your answer to 1 decimal places.) **(Round your answer to 4 decimal places.) ***(Round your answer to 2 decimal places.) ****(Round your answer to 6 decimal places.) a. The regression equation is:ý= **+ ** X b. For every unit of increase in the value of x, the predicted value of y will by c. The tratio for the slope is *** with an associated p-value of .000. d. 2 is *% of the variability of y is accounted for by x. This is proportion of predictability. The standard error of the estimate is ****. This is ✓ interpreted in light of the data and the magnitude of the data. e. The F value which tests the overall predictability of the model is ***. For simple regression analysis, this equals the value of indicating an f. The is not a surprise because the slope of the regression line is also relationship between x and y.
Study the following Minitab output from a regression analysis to predict y from x. a. What is the equation of the regres
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Study the following Minitab output from a regression analysis to predict y from x. a. What is the equation of the regres
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