practice question set 14

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Statistics

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Feb 20, 2024

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Practice Question Set 14 Question type: True/False 1. The closer R is to +1 or –1, the stronger the degree of association between X and Y . 2. A bivariate technique is a statistical method of analyzing the relationship between more than two variables. 3. A researchers will never be able to come up with a regression equation that includes every possible independent variable. Obtaining an R Square of 1.0 (100%) is virtually impossible. 4. The ANOVA is similar to the t-test except it allows comparison of three or more groups on a normally distributed test variable that is interval or ratio. 5. A specific group should never be pulled from a dataset and excluded from analysis. Question type: Multiple Choice 1. Which of the following is true concerning correlation for metric data? a) R is the square of the coefficient of correlation. b) With metric data, the Pearson’s product moment correlation may not be used. c) If R is equal to zero, then there is no association between X and Y . d) R is the square of the coefficient of determination. e) The value of R can range from –2 to +2.

2. One way to study the nature of the relationship between the dependent and the independent variable is to plot the data in a scatter diagram. What type of relationship is evident if a scatter diagram shows that as price ( X ) goes up, sales ( Y ) go down, and as price goes down, sales go up? a) No such relationship can be shown on a scatter diagram. b) Strong positive linear c) Perfect negative, or inverse d) Positive linear e) Perfect parabolic 3. Which of the following is true concerning the least-squares estimation procedure? a) It is a difficult mathematical technique that should not be used to fit data for X and Y to a line. b) The procedure is used because it is possible for a straight line to perfectly represent every observation in a scatterplot. c) Any straight line fitted to the data in a scatterplot is exempt from error. d) The procedure results in a straight line that fits the actual observations (dots) better than any other line that could be fitted to the observations. e) The sum of the squared deviations from the line will be higher for the line resulting from this procedure than for any other line that can be fitted to the observations. 4. Which of the following is false concerning the Chi-Square test of independence? a) The test determines if there is a relationship between to nominal variables.

b) This statistical technique determines whether two nominal categories are independent or not independent. c) The chi-square test is represented by X 2 . d) The chi-square test can be used with interval data. e) The chi-square test cannot be used with ratio data. 5. The independent and paired samples t -test sound similar. Which of the following statements is true regarding these tests? a) The independent samples t -test tests two groups on different variables. b) The paired samples t -test tests for a difference between two variables within the same group. c) In the independent samples t-test, the groups are not assumed to be independent of each other. d) In a paired-samples t-test, it is not expected that the two variables could be dependent on each other. e) The independent and paired samples t -test are just different names for the same test. Answers are given in the next page.

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Practice Question Set 14 True/False – 1) T 2) F 3) T 4) T 5) F MCQs – 1) C 2) C 3) D 4) D 5) B

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