Chapter 14 Practice Problems

# Chapter 14 Practice Problems - Predictor Coef SE Coef T P...

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Chapter 14: Practice Problems Q1. The following data are collected in a regression study: x i : 2 4 5 7 8 y i : 2 3 2 6 4 a. Develop the least-squares estimated regression equation for these data. I =26, i =17; b. What is the estimated value of y for x = 5? c. Compute the coefficient of determination and the coefficient of correlation. Interpret these numbers. xi Yi d. Find the value of the standard error of the estimate.

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e. Is there a significant relationship between x and y ? Conclude by using the t test and. f. Test for a significant relationship between x and y by using the F test. Use. g. Show the Analysis of Variance (ANOVA) table. h. Develop the 95% confidence and prediction intervals when
Q2. A Minitab output is shown below:

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Unformatted text preview: Predictor Coef SE Coef T P Constant -3.834 5.903 -0.65 0.529 X 0.29567 0.02648 <A> 0.000 S = 11.04 R-Sq = R-Sq(adj)= Analysis of Variance Source DF SS MS F P Regression 15208 <C> 0.000 Residual <B> Total 12 16550 a. Write the estimated regression equation. b. Is the model a good fit? Justify your answer. c. What is the value of <A>? d. What is the value of <B>? e. What is the value of <C>? f. Is there a significant relationship between the variables? Conclude by using the 5% level of significance. Q3. The following plot of the residuals is obtained in a simple linear regression estimation. Do the assumptions about the error term seem to be satisfied?...
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Chapter 14 Practice Problems - Predictor Coef SE Coef T P...

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