Question 1 Study the following Minitab output from a regression analysis to pred

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Question 1 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 a .10-why is the t ratio negative? d. Comment on 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= 1.7332 + 0.1625 x Coef 1.7332 0.16245 R-Sq= 90.1% SE Coef 0.4364 0.01490 Predictor 3.97 10.90 0.002 0.000 Constant S = 0.41 R-Sq(adj)=89.4% Analysis of Variance Source Regression Residual Error Total DF MS 20.098 20.098 2.199 0.169 118.80 0.000 13 22.297

Explanation / Answer

a)regresson equation is Yhat=1.7332+0.1625X

b) the predicted value of y will increase by 0.1625

c) thr t ratio for the slope is 10.90

d)r2 is 90.1% of the ,,,,,,,,,,,,,. this is explained proportion of predictability.............standard error of estimate is 0.41

e) the F value./............of the model is 118.80. for simle regression........this equals the value of t2.

f)the result is not .................regression line is also postiive indicating an strong positive relationship between x and y.

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