# stats data bank

August 14, 2017

101.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 654 and n = 10. The covariance between x and y is given by:
a.
30.3
b.
43.1
c.
34.0
d.
27.4
e.
31.9

102.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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 â 1.08
d. ?
= 0.93x â 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 â 1.08
d. ?
= 0.93x â 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 â 1.08
d. ?
= 0.93x â 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 â 1.08
d. ?
= 0.93x â 5.88
e.
None of the above

108.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 496,Ã¥x2 = 37306,Ã¥y = 508,Ã¥y2 = 39352,Ã¥xy = 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 â 0.56
d. ?
= 1.03x â 0.39
e.
None of the above

109.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 496,Ã¥x2 = 37306,Ã¥y = 508,Ã¥y2 = 39352,Ã¥xy = 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 â 0.56
d. ?
= 1.03x â 0.39
e.
None of the above

110.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 496,Ã¥x2 = 37306,Ã¥y = 508,Ã¥y2 = 39352,Ã¥xy = 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 â 0.56
d. ?
= 1.03x â 0.39
e.
None of the above

111.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 496,Ã¥x2 = 37306,Ã¥y = 508,Ã¥y2 = 39352,Ã¥xy = 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 â 0.56
d. ?
= 1.03x â 0.39
e.
None of the above

112.
You have been given a two-variable data set with the following calculations
already completed: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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: Ã¥x = 72,Ã¥x2 = 1544,Ã¥y = 37,Ã¥y2 = 305,Ã¥xy = 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: Ã¥x = 46,Ã¥y = 76,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 45,Ã¥y = 76,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 46,Ã¥y = 75,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 46,Ã¥y = 76,Ã¥xy = 472,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 46,Ã¥y = 76,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 45,Ã¥y = 76,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 46,Ã¥y = 75,Ã¥xy = 473,Ã¥x2 = 284,Ã¥y2 = 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: Ã¥x = 46,Ã¥y = 76,Ã¥xy = 472,Ã¥x2 = 284,Ã¥y2 = 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

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