BA578 Final exam 2014
FinalExam v There are four components: Half A: True/ False (1-15) Half B: Reply the next questions (16-21) Half C: Choose the proper reply for the next questions (22-60) Half D: Work Downside (61-71) **All work have to be proven step-by-step** v Two other ways to submit your reply sheet Scan your reply sheet and place it inONE FILEat drop-box. (preferable)Use MS-Phrase and place it in a drop-box. v **Excel is just not acceptable for this check v **Deadline:Monday, 4th of Augest 2014 by midday v **All work have to be proven step-by-step to be able to obtain credit score On-line Ultimate Examination Half A: True or False (1-15) ____ ___ 1. The standard goal of regression evaluation is to foretell estimate the worth of 1 variable when the worth of one other variable is understood. ___ ____ 2. Correlation evaluation is worried with measuring the power of the connection between two variables. ___ ____ three. Within the least squares mannequin, the defined sum of squares is all the time smaller than the regression sum of squares. ___ ___ four. The pattern correlation coefficient and the pattern slope will all the time have the identical signal. ___ ____ 5. An essential relationship in regression evaluation is = . __ _____ 6. If zero is contained within the 95% confidence interval for b1, we could reject Ho: b1 = Zero on the Zero.05 stage of significance. ____ ___ 7. If in a regression evaluation the defined sum of squares is 75 and the unexplained sum of sq. is 25, r2 = Zero.33. ___ ____ eight. On the whole, the smaller the dispersion of noticed factors a few fitted regression line, the bigger the worth of the coefficient of dedication. ____ ___ 9. When small values of Y are usually paired with small values of X, the connection between X and Y is alleged to be inverse. __ _____10.An alternate speculation (Ha) is a principle that contradicts the null speculation. The choice speculation might be accepted when there may be robust proof main us to reject the null speculation. ___ ____ 11. The p-value of a check depends upon the noticed information, however the vital values of a check do not. _____ _ 12. Different issues being equal, reducing ? will increase ?. __ _____ 13. The bigger the p-value related to a check of speculation, the stronger the help for the null speculation. _____ __ 14. The likelihood that the check statistic will fall within the vital area, given that H0 is true, represents the likelihood of creating a kind II error. ___ ____ 15. After we reject a real null speculation, we commit a Sort I error. Half B:Reply the next questions (16-21) 16. What's the Null Speculation? Clarify. 17. What's the Different Speculation? Clarify. 18. Clarify the way you resolve what assertion goes into the null speculation and what assertion go into the choice speculation. 19. When ought to the z-test be used? 20. When ought to the t-test be used? 21. What's a vital worth? Half C: A number of Alternative (22–60) ___ ___ 22. The variable about which the investigator needs to make predictions or estimates is named the ____. a. dependent variable b. unit of affiliation c. impartial variable d. discrete variable ___ __ 23. In regression evaluation, the amount that provides the quantity by which Y modifications for a unit change in X is named the _____. a. coefficient of dedication b. slope of the regression line c. Y intercept of the regression line d. correlation coefficient ___ ___ 24. Within the equation y = b0 +b1(x), b0 is the _____. a. coefficient of dedication b. slope of the regression line c. y intercept of the regression line d. correlation coefficient ___ ___ 25. Within the equation y = b0 + b1(x), b1 is the _____. a. coefficient of dedication b. slope of the regression line c. y intercept of the regression line d. correlation coefficient ____ __ 26. In regression and correlation evaluation, the measure whose values are restricted to the vary Zero to 1, inclusive, is the _____. a. coefficient of dedication b. slope of the regression line c. y intercept of the regression line d. correlation coefficient ___ ___ 27. In regression and correlation evaluation, the measure whose values are restricted to the vary -1 to +1, inclusive, is the a. coefficient of dedication b. slope of the regression line c. y intercept of the regression line d. correlation coefficient ___ ___ 28. The amount is named the _______________ sum of sq.. a. least b. defined c. complete d. unexplained ______ 29. If, within the regression mannequin, b1 = Zero, we are saying there may be _____________ linear relationship between X and Y. a. an inverse b. a big c. a direct d. no __ ____ 30. If, within the regression mannequin, b1 is unfavorable, we are saying there may be _____________ linear relationship between X and Y. a. an inverse b. a big c. a direct d. no __ ____ 31. If two variables aren't associated, we all know that ________________. a. their correlation coefficient is the same as zero. b. the variability in considered one of them can't be defined by the different. c. the slope of the regression line for the 2 variables is equal to zero. d. the entire above statements are true. __ ____ 32. In easy linear regression evaluation, if the correlation coefficient is the same as 1.Zero, _________. a. the slope is the same as 1.Zero b. all of the variability within the dependent variable is defined by the impartial variable. c. the y intercept is the same as 1.Zero d. the connection between the 2 variables might be described as a bivariable regular distribution. __ 33. The next outcomes had been obtained from a easy linear regression evaluation. Complete sum of sq. = 5.7640. Defined sum of squares = 5.5415. Unexplained sum of squares = Zero.2225. The coefficient of dedication is ____ a. Zero.0402 b. Zero.0386 c. Zero.9805 d. Zero.9614 ___ ___ 34. The next outcomes had been obtained as a part of a easy linear correlation evaluation: Y = 97.98 – four.33x regression sum of squares = 2680. 27. Error sum of squares = 125.40. Complete sum of squares = 2805.67. The pattern correlation coefficient is ____ a. -Zero.9774 b. Zero.9553 c. Zero.2114 d. Zero.0447 ___ ___ 35. The next equation describes the connection between output and labor enter at a pattern of labor stations in a producing plant: = 2.35 + 2.20x. Suppose, for a specific work station, the labor enter is 5. The anticipated output is _____________. a. four.55 b. 2.35 c. 2.20 d. 13.35 ___ 36. In regression and correlation analyses, the entity on which units of measurements are taken is known as the ______________. a. dependent variable b. impartial variable c. variables d. discrete variable _ ___ 37. Given: : = 10, : ? 10, n = 12, = Zero.01, and the computed check statistic is 2.394, the p worth for the check is ____________________ a. Between Zero.02 and Zero.01 b. between Zero.Zero25 and Zero.01 c. between Zero.05 and Zero.02 d. none of the above _ ____38. The _________ is the smallest stage of significance at which might be rejected. a. worth of b. p worth c. likelihood of committing of Sort I error d. worth of 1 - ……….39. We are saying that pattern outcomes are important when ____________. a. is just not rejected b. is rejected c. is smaller than the p worth d. the computed worth of the check statistic fall within the acceptance area ___40. You carry out a speculation check a few inhabitants imply on the premise of the next info: the sampled inhabitants is generally distributed, s = 100, n =25, = 225, = Zero.05, : > 220. The vital worth of the check statistic is __________. a. 2.0639 b. 1.7081 c.1.7109 d. 1.96 ___ ___41. You carry out a speculation check a few inhabitants imply on the premise of the next info: n = 50, = 100, = Zero.05, s = 30, : < 110. The computed worth of the check statistic is __________. a. -2.3570 b.-1.645 c.2.3570 d.four.24264 ___ ___42. We commit a Sort I error if we ________ a real null speculation. a. fail to reject b. reject c. settle for d. compute ____ _43. Given: : ? 100, the choice speculation is _________ if the check is one- sided and the vital worth is unfavorable. a. < 100 b. > 100 c. = 100 d. ? 100 ___ ___44. If we reject a null speculation, we conclude that the choice speculation __________. a. could be true b.is true c. is not true d. is probably not true ___ ____45. You carry out a speculation check a few inhabitants imply on the premise of the next info: The pattern inhabitants is generally distributed with a variable of 100, n = 25, = 225, = Zero.05, : >220. The vital worth of the check statistic is __________. a.2.5 b. 1.645 c. 1.7109 d. 1.96 __ _____46. Given : ? 25, : > 25, n = 14, = Zero.05, = 36, and = 30, the vital worth of the check statistic is __________. a.1.9444 b. 1.7613 c. 1.7709 d. 2.1180 _______47. Given : ? 70, : > 70, n = 10, = Zero.01, = 49, and = 78, the vital worth of the check statistic is __________. a.three.6140 b. 2.7640 c. three.2498 d. 2.8210 ___ ____48. The aim of speculation testing is to assist one attain a conclusion about ___________ by inspecting the information contained in ___________. a. a inhabitants; a pattern b. an experiment ; a pc printout c. a inhabitants; an occasion d. a gaggle of topics; a likelihood assertion ___ ___49. The likelihood of rejecting a real null speculation can also be referred to because the _______ for the check. a. p worth b. vital worth c. rejection area d. stage of significance ___ ____50. A null speculation is rejected on the stage of significance when the p worth is _________. a. lower than or equal to ? b. precisely equal to ? solely c. better than or equal to ? d. better than or equal to the vital worth of the check statistic ___ ___51. The 2 sorts of statistical hypotheses are the null speculation and the __________hypothesis. a. accepted b. rejected c. various d. null __ ____52. The assertion of what the investigator is making an attempt to conclude is positioned within the _____ speculation. a. accepted b. rejected c. various d. null _______53. The _______ speculation is the speculation that's examined. a. accepted b. rejected c. various d. null _______54. If the null speculation is rejected, we concluded that the _______ speculation is true. a. accepted b. rejected c. various d. null _______55. If the null speculation is just not rejected, we conclude that the ________ speculation could be true. a. accepted b. rejected c. various d. null _______56. The statistic that used as a choice maker in a hypothesis-testing process is named the __________. a. check statistic b. pattern statistic c. unbiased statistic d. related statistic _______57. The rejection of a real null speculation is named the ______ error. a. commonplace b. Sort I c. vital d. Sort II _______58. The amount that provides the likelihood that a false null speculation might be rejected is known as the ________ of the check. a. energy b. likelihood of a Sort II error c. significance stage d. likelihood of a Sort I error ______59. Which of the next statements is just not essentially true when utilized to a check statistic? a. It's usually distributed with a imply of Zero and a variance of 1. b. It's computed from pattern information. c. Its vital worth(s) is/are obtained from applicable tables of its sampling distribution. d. It serves as a choice maker. _______60. Which of the next statements is just not true when utilized to the extent significance? a. It's all the time equal to the likelihood of committing a Sort I error. b. It ought to all the time be established previous to gathering and analyzing the information. c. It's all the time bigger than the p worth. d. Beneath the curve of the related sampling distribution, it's the space above the rejection area. Half D:Should present all of your work step-by-step to be able to obtain the full credit score; Excel is just not allowed. (61-71) 61. Use the next info from anormal inhabitants with imply ? = 52 and variance ?2= 22.5 to calculate the next questions. a) discover P (X >55 ) b) discover P c) discover P 62. A random pattern from a inhabitants with imply and commonplace deviation produced the next pattern info: n =110 x = 699 s = 20.four a) Discover a 95% confidence interval for the imply ?. Interpret this interval. b) Discover a 99% confidence interval for the imply ?. Interpret this interval. 63. Think about the next speculation check. Ho: µ = 17 Ha: µ ? 17 A pattern of 25 provides a pattern imply of 14.2 and pattern variance of 25. a) At ? = Zero.05, what's the rejection rule? b) Compute the worth of the check statistic c) What's the p-value? d) What's your conclusion? 64. Think about the next speculation check. Ho: ? = 15 Ha: ? ? 15 A pattern of 50 provides a pattern imply of 14.2 and pattern commonplace deviation of 5. a) At ? = Zero.02, what's the rejection rule? b) Compute the worth of the check statistic z. c) What's the p-value? d) What's your conclusion? 65. Think about the next speculation check Ho: µ ? 10 Ha: µ < 10 A pattern of 50 supplies a pattern imply of 9.46 and pattern variance of four. a) At ? = Zero.05, what's the rejection rule? Reject null if z < 1:645 b) Compute the value of the test statistic c) What is the p-value? d) What is your conclusion? 66. Fill in the table and find the following answers: Months on job (x) Monthly sales (y) thousands of dollars XY 1 0.8 2 2.4 4 7 5 3.7 8 11.3 9 12 12 15 Total a) Find . b) Find . c) Write the estimated regression equation. d) Interpret the estimated regression equation. e) Calculate the coefficient of determination (R2). f) Interpret the coefficient of determination (R2). g) Calculate the adjusted coefficient of determination (Adjusted R2). 67. A regression model relating x, number of sales persons at a branch office, to y, annual sales at the office ($1000s), has been developed. The computer output from a regression analysis of the data follows. The regression equation is = 80.0 + 50.0X Predictor Coef Stdev t-ratio Constant 80.0 11.333 7.06 X 50.0 5.482 9.12 Analysis of Variance SOURCE DF SS MS Regression 1 6828.6 6828.6 Error 28 2298.8 82.1 Total 29 9127.4 a) Write the estimated regression equation. b) How many branch offices were involved in the study? c) Compute the F statistic and test the significance of the relationship at a .05 level of significance. d) Predict the annual sales at the Memphis branch office. This branch has 12 sales persons. 68. The following regression equation was obtained using the five independent variables. The regression equation is sales = - 19.7 - 0.00063 outlets + 1.74 cars + 0.410 income + 2.04 age - 0.034 bosses Predictor Coef SE Coef T P Constant -19.672 5.422 -3.63 0.022 outlets -0.000629 0.002638 -0.24 0.823 cars 1.7399 0.5530 3.15 0.035 income 0.40994 0.04385 9.35 0.001 age 2.0357 0.8779 2.32 0.081 bosses -0.0344 0.1880 -0.18 0.864 S = 1.507 R-Sq = 99.4% R-Sq(adj) = 98.7% Analysis of Variance Source DF SS MS F P Regression 5 1593.81 318.76 140.36 0.000 Residual Error 4 9.08 2.27 Total 9 1602.89 (Minitab Software) a) What percent of the variation is explained by the regression equation? b) What is the standard error of regression? c) What is the critical value of the F-statistic? d) What sample size is used in the print out? e) What is the variance of the slope coefficient of income? f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero. g) Conduct a test of hypothesis on each of the independent variables. Would you consider eliminating outlets and bosses? 69. Computer output: Coefficients Std. Error t-Stat P-value Intercept 729.8665 169.25751 4.3121659 0.0010099 Price -10.887 3.4952397 -3.1148078 0.0089406 Advertising 0.0465 0.0176228 2.6386297 0.0216284 ANOVA df SS MS F Significance F Regression 2 12442.8 6221.4 37.56127994 0.00000683 Residual 12 1987.6 165.63333 Total 14 14430.4 Se =12.86986 R-sq = 0.862263 R-sq(adj) = 0.8393068 a) Write and interpret the multiple regression equation. b) Does the model with Price and Advertising contribute to the prediction of Y? Use a 0.05 significance level. c) Which independent variable appears to be the best predictor of sales? Explain. d) What is the number of observations used in this study? e) Assuming that the coefficient on Advertising has Ha: B1 > Zero, what statistical resolution ought to be made at 5% stage. f) What's the commonplace error of estimate? Can you utilize this statistic to evaluate the model’s match? In that case, how? g) What's the coefficient of dedication, and what does it inform you in regards to the regression mannequin? h) What's the coefficient of dedication, adjusted for levels of freedom? Clarify how this statistic and the statistic referred to partly (f) aid you to find out how nicely the mannequin matches the information. i) Take a look at the general utility of the mannequin. What does the p-value of the check statistic inform you? 70. For the next ANOVA desk are the outcomes from treating four cultures with 6 observations for every tradition. The enzymes are contained in check tubes with differing ranges of enzymes utilized. a) Please fill within the clean. Supply of Variation df SS MS F Therapy 180 Error 60 Complete b) What are the null and alternate hypotheses? c) What's your resolution rule, Use d) Point out your statistical resolution. e) Is there a distinction among the many means? 71. A metropolitan bus system sampler’s rider counts on one of its specific commuter routes for every week. Use the next information to ascertain whether or not the rider ship is evenly balanced by day of the week. Let Day Monday Tuesday Wednesday Thursday Friday Rider Depend 10 34 21 57 44 a) Is the ?2value important at 5% stage of significance? b) Write the conclusion for this query.