Question

In: Statistics and Probability

1. The following sample observations were randomly selected (numbers may be different from previous problems):

 

1. The following sample observations were randomly selected (numbers may be different from previous problems):

X

Y

4

4

5

6

3

5

6

7

10

7


What is the predicted value of Y when X=7?

Select one:

a. 7.47

b. 26.73

c. -22.53

d. 6.31

2. A business is evaluating their advertising budget, and wishes to determine the relationship between advertising dollars spent and changes in revenue. They have compiled the information in the table below, and want to perform regression.

Weekly Revenue ($k)

TV Advertising ($k)

Radio Advertising ($k)

Newspaper Advertising ($k)

96

5.0

1.5

1.0

90

2.0

2.0

0.8

95

4.0

1.5

0.9

92

2.5

2.5

0.5

95

3.0

3.3

1.2

94

3.5

2.3

1.0

93

2.5

4.2

0.9

94

3.0

2.5

0.9


What is the independent data?

Select one:

a. Weekly Revenue

b. TV Advertising

c. Radio Advertising

d. Newspaper Advertising

e. All Advertising

3. The following sample observations were randomly selected (numbers may be different from previous problems):

X

Y

5

4

10

7

3

7

4

6

6

5


What is the y-intercept of the regression equation?

Select one:

a. 3.38

b. 7.00

c. 5.80

d. 5.30

Solutions

Expert Solution

1) Answer: d) 6.31

Explanation:

The regression equation is:

Y=3.7671 + 0.3630x

The prediction value of Y when X=7 is:

Y=3.7671 + 0.3630(7) = 6.31

2) Answer: e) All Advertising

3) Answer: d) 5.30


Related Solutions

The following sample observations were randomly selected:
The following sample observations were randomly selected:12345X:213832Y:18132249            a. Not available in Connect.b. Determine the regression equation.(Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)                                           b =  a =Y' =  +  X           c. Determine the value of Y' whenX is 11. (Do not round intermediate calculations. Round the final answer to 4 decimal places.)
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount...
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) x 5 5 3 6 10 y 6 5 5 7 7 a-) Determine the 0.9 confidence interval for the mean predicted when x = 8. [ __________ , ______________] b-) Determine the 0.9 prediction interval for an individual predicted when x = 8. [ __________, ________________]
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount...
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) x 5 5 3 6 10 y 6 5 5 7 7 a-) Determine the 0.9 confidence interval for the mean predicted when x = 8. [ __________ , ______________] b-) Determine the 0.9 prediction interval for an individual predicted when x = 8. [ __________, ________________]
The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9...
The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9 12 8 Y: 25 22 16 16 14              a. Not available in Connect. b. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)                                             b =----  a =---- Y' = -----+-----  X             c. Determine the value of Y' when X is 26. (Do not round intermediate calculations....
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers...
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers to 3 decimal places.) X: 4 5 3 6 10 Y: 4 6 5 7 7 PictureClick here for the Excel Data File a. Determine the 0.95 confidence interval for the mean predicted when X = 7 ( , ) b. Determine the 0.95 prediction interval for an individual predicted when X = 7 ( , )
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 5 5 2 6 10 Y: 4 6 5 5 7    Determine the 0.99 confidence interval for the mean predicted when x = 7. Determine the 0.99 prediction interval for an individual predicted when x = 7.
The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...
The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.) x 4 5 4 6 9 y 4 6 3 7 7 a.The regression equation is ŷ = .............................. +................................x b.When X is 8 this gives ŷ =...................................
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers...
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers to 2 decimal places.) X: 4 5 3 6 10 Y: 9.7 5 10.9 15.3 22.5 a. Determine the 0.95 confidence interval for the mean predicted when X = 8 ( , ) b. Determine the 0.95 prediction interval for an individual predicted when X = 8 ( , )
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 9 Y: 4 6 5 1 12    Determine the 0.99 confidence interval for the mean predicted when x = 6. ( _____ , _____) Determine the 0.99 prediction interval for an individual predicted when x = 6. ( _____ , _____)
The following sample observations were randomly selected. (Do not round the intermediate values. Negative value should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 10 Y: 6 6 4 7 7    Determine the 0.95 confidence interval for the mean predicted when x = 9. Determine the 0.95 prediction interval for an individual predicted when x = 9.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT