SME_8e_Ch_16_Section_5 - CHAPTER 16 SECTION 5: SIMPLE...

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1 CHAPTER 16 SECTION 5: SIMPLE LINEAR REGRESSION AND CORRELATION MULTIPLE CHOICE 207. In order to estimate with 95% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 10 observations is taken. Which of the following t -table values listed below would be used? a. 2.228 b. 2.306 c. 1.860 d. 1.812 ANS: B PTS: 1 REF: SECTION 16.5 208. In order to predict with 90% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 10 observations is taken. Which of the following t -table values listed below would be used? a. 2.228 b. 2.306 c. 1.860 d. 1.812 ANS: C PTS: 1 REF: SECTION 16.5 209. The confidence interval estimate of the expected value of y for a given value x , compared to the prediction interval of y for the same given value of x and confidence level, will be: a. wider. b. narrower. c. the same. d. impossible to know. ANS: B PTS: 1 REF: SECTION 16.5 210. The width of the confidence interval estimate for the predicted value of y depends on a. the standard error of the estimate b. the value of x for which the prediction is being made c. the sample size d. All of these choices are true. ANS: D PTS: 1 REF: SECTION 16.5 211. In order to predict with 80% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken. Which of the following t -table values listed below would be used? a. 1.350 b. 1.771 c. 2.160 d. 2.650 ANS: A PTS: 1 REF: SECTION 16.5
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2 212. In order to predict with 98% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken. Which of the following t -table values listed below would be used? a. 1.350 b. 1.771 c. 2.160 d. 2.650 ANS: D PTS: 1 REF: SECTION 16.5 TRUE/FALSE 213. The confidence interval estimate of the expected value of y will be narrower than the prediction interval for the same given value of x and confidence level. This is because there is less error in estimating a mean value as opposed to predicting an individual value. ANS: T PTS: 1 REF: SECTION 16.5 214. The confidence interval estimate of the expected value of y will be wider than the prediction interval for the same given value of x and confidence level. This is because there is more error in estimating a mean value as opposed to predicting an individual value. ANS: F PTS: 1 REF: SECTION 16.5 215. The prediction interval for a particular value of y is always wider than the confidence interval for mean value of y , given the same data set, x value, and confidence level. ANS: T PTS: 1 REF: SECTION 16.5 216. A prediction interval is used when we want to predict a one-time occurrence for a particular value of y when the independent variable is a given x value. ANS: T
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This note was uploaded on 09/28/2010 for the course FINOPMGT 250 taught by Professor Kumar during the Spring '10 term at University of Massachusetts Boston.

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SME_8e_Ch_16_Section_5 - CHAPTER 16 SECTION 5: SIMPLE...

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