# stats data bank

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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