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Unformatted text preview: e should be equal at all possible values (levels) of the independent variable. A. normality B. control variation C. constant variance D. independence 59. The range for r2 is between 0 and 1 and the range for r is between ________ A. 0 and 1 B. -1 and 1 C. -1 and 0 D. no limit 60. The _____ of the simple linear regression model is the value of y when the mean value of x is zero. A. y-intercept B. slope C. independent variable D. response variable 61. The least squares point estimates of the simple linear regression model minimize the _____. A. SS Error B. Total variance C. MS Error D. Explained variance 1-1160 Chapter 01 - An Introduction to Business Statistics 62. _____ is a statistical technique in which we use observed data to relate a dependent variable to one or more predictor (independent) variables. A. Chi-square analysis B. Regression analysis C. One-way ANOVA D. Correlation analysis 63. The simple linear regression model assumes there is a _____ between the dependent variable and the independent variable. A. normal relationship B. reverse relationship C. linear relationship D. correlation 64. In a simple linear regression model, they intercept term is the mean value of y when x equals _____. A. 1 B. 0 C. -1 D. y 65. In a simple linear regression model, the slope term is the change in the mean value of y associated with _____ in x. A. a corresponding increase B. a variable change C. no change D. one unit increase 66. The ______ is the range of the previously observed values of x. A. Population region B. Experimental region C. Slope D. Coefficient of determination 1-1161 Chapter 01 - An Introduction to Business Statistics 67. Any value of the error term in a regression model is _____ any other value of the error term. A. increases with B. dependent on C. independent of D. exactly the same as 68. If there is significant autocorrelation present in a data set the ________________ assumption is violated. A. Normality B. Independence of error terms C. µ = 0 D. Constant variation 69. _____ distribution is used for testing the significance of the slope term. A. t B. Z C. r D. r2 70. If one of the assumptions of the regression model is violated, performing data transformations on the ____________ can remedy the situation. A. independent variable B. slope C. predictor variable D. response variable 71. The ____________________ is the proportion of the total variation in the dependent variable explained by the regression model. A. Coefficient of determination B. Correlation coefficient C. Slope D. Standard error 1-1162 Chapter 01 - An Introduction to Business Statistics 72. A _______________ is a method or a process of estimating a relationship between a dependent variable (Y) and a single independent variable (X). A. Chi-square analysis B. Simple linear regression analysis C. One-way ANOVA D. Correlation analysis 73. A ______________________ measures the strength of the relationship between a dependent variable (Y) and an independent variable (X). A. Coefficient of determination B. Correlation coefficient C. Slope D. Standard error 74. If the points are tightly distributed around the regression line on a scatter diagram, then we can conclude that the changes in the value of the dependent variable _________ the independent variable (X). A. have no relationship with B. are explained by C. always inversely related to D. always positively related to 75. After plotting the data point s on a scatter diagram, we have observed an inverse relationship between the independent variable (X) and the dependent variable (Y). Therefore, we can expect both the sample slope and the __________ to be a negative value. A. Coefficient of determination B. Correlation coefficient C. Slope D. Standard error 1-1163 Chapter 01 - An Introduction to Business Statistics 76. Use the following results obtained from a simple linear regression analysis with 12 observations. = 37.2895 - (1.2024) X 2 r = .6744 sb = .2934 Test to determine if there is a significant negative relationship between the independent and dependent variable at α = .05. Give the test statistic and the resulting conclusion. A. Reject H0, t = -4.10 B. Fail to reject H0, t = 4.10 C. Reject H0, t = -1.783 D. Fail to reject H0, t = 1.783 77. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Find the estimated y-intercept. A. 1 B. 4.45 C. 10.04 D. 1.289 1-1164 Chapter 01 - An Introduction to Business Statistics 78. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Find the estimated y intercept and slope and write the equation of the least squares regression line. A. 14 - 68x B. 2 + 0x C. 0 + 1x D. 1 + 1x 79. An experiment was performed on a certain metal...
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