stats data bank

stats data bank

Question

101. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 10. The covariance between x and y is given by:

a. 30.3

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b. 43.1

c. 34.0

d. 27.4

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e. 31.9

102. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 15. The covariance between x and y is given by:

a. 30.3

b. 43.1

c. 34.0

d. 27.4

e. 31.9

103. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 20. The covariance between x and y is given by:

a. 30.3

b. 43.1

c. 34.0

d. 27.4

e. 31.9

104. A statistician wishes to examine the relationship between average monthly rainfall (in mm), x, and number of road accidents, y, in a particular city. The following calculations have been done for you:Ã¥x = 276,Ã¥x2 = 6982,Ã¥y = 193,Ã¥y2 = 3421,Ã¥xy = 4842 and n = 12. The equation of the least squares regression line is given by:

a. ? = 0.64x + 1.46

b. ? = 0.51x + 4.75

c. ? = 0.75x – 1.08

d. ? = 0.93x – 5.88

e. None of the above

105. A statistician wishes to examine the relationship between average monthly rainfall (in mm), x, and number of road accidents, y, in a particular city. The following calculations have been done for you:Ã¥x = 265,Ã¥x2 = 6982,Ã¥y = 193,Ã¥y2 = 3421,Ã¥xy = 4842 and n = 12. The equation of the least squares regression line is given by:

a. ? = 0.64x + 1.46

b. ? = 0.51x + 4.75

c. ? = 0.75x – 1.08

d. ? = 0.93x – 5.88

e. None of the above

106. A statistician wishes to examine the relationship between average monthly rainfall (in mm), x, and number of road accidents, y, in a particular city. The following calculations have been done for you:Ã¥x = 276,Ã¥x2 = 6888,Ã¥y = 193,Ã¥y2 = 3421,Ã¥xy = 4842 and n = 12. The equation of the least squares regression line is given by:

a. ? = 0.64x + 1.46

b. ? = 0.51x + 4.75

c. ? = 0.75x – 1.08

d. ? = 0.93x – 5.88

e. None of the above

107. A statistician wishes to examine the relationship between average monthly rainfall (in mm), x, and number of road accidents, y, in a particular city. The following calculations have been done for you:Ã¥x = 276,Ã¥x2 = 6982,Ã¥y = 185,Ã¥y2 = 3421,Ã¥xy = 4842 and n = 12. The equation of the least squares regression line is given by:

a. ? = 0.64x + 1.46

b. ? = 0.51x + 4.75

c. ? = 0.75x – 1.08

d. ? = 0.93x – 5.88

e. None of the above

108. You have been given a two-variable data set with the following calculations already completed: åx = 496,åx2 = 37306,åy = 508,åy2 = 39352,åxy = 38309 and n = 7. The equation of the least squares regression line is given by:

a. ? = 1.07x - 3.29

b. ? = 1.04x - 0.95

c. ? = 1.03x – 0.56

d. ? = 1.03x – 0.39

e. None of the above

109. You have been given a two-variable data set with the following calculations already completed: åx = 496,åx2 = 37306,åy = 508,åy2 = 39352,åxy = 38309 and n = 8. The equation of the least squares regression line is given by:

a. ? = 1.07x - 3.29

b. ? = 1.04x - 0.95

c. ? = 1.03x – 0.56

d. ? = 1.03x – 0.39

e. None of the above

110. You have been given a two-variable data set with the following calculations already completed: åx = 496,åx2 = 37306,åy = 508,åy2 = 39352,åxy = 38309 and n = 9. The equation of the least squares regression line is given by:

a. ? = 1.07x - 3.29

b. ? = 1.04x - 0.95

c. ? = 1.03x – 0.56

d. ? = 1.03x – 0.39

e. None of the above

111. You have been given a two-variable data set with the following calculations already completed: åx = 496,åx2 = 37306,åy = 508,åy2 = 39352,åxy = 38309 and n = 10. The equation of the least squares regression line is given by:

a. ? = 1.07x - 3.29

b. ? = 1.04x - 0.95

c. ? = 1.03x – 0.56

d. ? = 1.03x – 0.39

e. None of the above

112. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 5. The equation of the least squares regression line is given by:

a. ? = 0.24x + 3.96

b. ? = 0.38x + 0.98

c. ? = 0.40x + 0.56

d. ? = 0.41x + 0.39

e. None of the above

113. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 10. The equation of the least squares regression line is given by:

a. ? = 0.24x + 3.96

b. ? = 0.38x + 0.98

c. ? = 0.40x + 0.56

d. ? = 0.41x + 0.39

e. None of the above

114. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 15. The equation of the least squares regression line is given by:

a. ? = 0.24x + 3.96

b. ? = 0.38x + 0.98

c. ? = 0.40x + 0.56

d. ? = 0.41x + 0.39

e. None of the above

115. You have been given a two-variable data set with the following calculations already completed: åx = 72,åx2 = 1544,åy = 37,åy2 = 305,åxy = 654 and n = 20. The equation of the least squares regression line is given by:

a. ? = 0.24x + 3.96

b. ? = 0.38x + 0.98

c. ? = 0.40x + 0.56

d. ? = 0.45x + 0.40

e. None of the above

116. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 76,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the gradient of the regression line between x and y?

a. 1.846

b. 1.474

c. 2.141

d. 1.795

e. 1.444

117. You have been given the following calculated values for a set of data containing x and y values: åx = 45,åy = 76,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the gradient of the regression line between x and y?

a. 1.846

b. 1.474

c. 2.141

d. 1.795

e. 1.444

118. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 75,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the gradient of the regression line between x and y?

a. 1.846

b. 1.474

c. 2.141

d. 1.795

e. 1.444

119. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 76,åxy = 472,åx2 = 284,åy2 = 794 and n = 8. What is the value of the gradient of the regression line between x and y?

a. 1.846

b. 1.474

c. 2.141

d. 1.795

e. 1.444

120. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 76,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the intercept of the regression line between x and y?

a. -1.115

b. 1.212

c. -2.936

d. -0.821

e. 1.444

121. You have been given the following calculated values for a set of data containing x and y values: åx = 45,åy = 76,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the intercept of the regression line between x and y?

a. -1.115

b. 1.212

c. -2.936

d. -0.821

e. 1.444

122. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 75,åxy = 473,åx2 = 284,åy2 = 794 and n = 8. What is the value of the intercept of the regression line between x and y?

a. -1.115

b. 1.212

c. -2.936

d. -0.821

e. 1.444

123. You have been given the following calculated values for a set of data containing x and y values: åx = 46,åy = 76,åxy = 472,åx2 = 284,åy2 = 794 and n = 8. What is the value of the intercept of the regression line between x and y?

a. -1.115

b. 1.212

c. -2.936

d. -0.821

e. 1.444

124. Which of the following statements is correct?

a. If X and Y have a correlation coefficient of 0.99, then X and Y are unrelated

b. If the covariance between X and Y is a large negative number, then X and Y have no linear relationship

c. The least squares regression line can be used to forecast values of Y for any given value of X

d. The smaller the sum of squared residuals, the more confidence we will have in our forecasted values of Y

e. None of the above are correct

125. If the sample correlation coefficient between x and y is -1 (i.e. r = -1) then we can be sure that:

a. None of the points in the sample will lie on the least squares regression line.

b. The relationship between x and y is a perfect positive linear relationship.

c. The true value of the population correlation coefficient is also equal to -1.

d. All the points in the sample will lie on the least squares regression line.

e. None of the above