Regression
Question 1
Consider the following sample data for the relationship between advertising bu
Observation
1
2
3
4
5
Advertising ($)
90,000 100,000 100,000 110,000 120,000
Sales ($)
535,000 626,000 625,000 674,000 712,000
What is the slope of the "least-squares" best-fit regression line?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision resul
Question 2
Consider the following sample data for the relationship between advertising bu
Observation
1
2
3
4
5
Advertising ($)
30,000
30,000
40,000
50,000
50,000
Sales ($)
179,000 183,000 253,000 308,000 301,000
What is the predicted sales quantity for an advertising budget of $57,000?
Please round your answer to the nearest integer.
Note that the correct answer will be evaluated based on the full-precision resul
Question 3
Consider the following sample data for the relationship between advertising bu
Observation
1
2
3
4
5
Advertising ($)
40,000
50,000
50,000
60,000
70,000
Sales ($)
240,000 308,000 315,000 358,000 425,000
What is the R2 coefficient of determination value for the relationship betw
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision resul
Sampling
Question 1
Sales volume last weekend for a sample of ten car dealerships were as follows:
Data Point
1
2
3
4
5
# Sales
23
13
37
46
20
What is the mean of the sample data?
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
Qusetion 2
Sales volume last weekend for a sample of ten car dealerships were as follows:
Data Point
1
2
3
4
5
# Sales
21
10
19
35
23
What is the variance of the sample data?
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
Question 3
Sales volume last weekend for four samples, each consisting
Data Point
1
2
3
4
Sample 1
26
45
36
28
Sample 2
15
31
17
24
Sample 3
25
43
17
39
Sample 4
32
35
50
33
of five car dealers
5
46
43
28
27
What is the mean of the distribution of sample means?
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
Question 4
Sales volume last weekend for four samples, each consisting
Data Point
1
2
3
4
Sample 1
23
13
37
46
Sample 2
15
26
45
33
Sample 3
44
23
35
18
Sample 4
48
37
21
30
of five car dealers
5
20
38
29
19
What is the standard deviation of the distribution of sample means?
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
Question 5
The mean is 47.1 and the standard deviation is 9.5 for a population.
Using the Central Limit Theorem, what is the standard deviation of the dis
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
Question 6
Suppose your marketing colleague used a known population mean and standar
What is the standard error for the new sample size?
Please round your answer to the nearest tenth.
Note that the correct answer will be evaluated based on the full-precision resul
between advertising budget and sales for Product A:
6
7
8
9
120,000 130,000 140,000 140,000
725,000 809,000 832,000 845,000
10
150,000
919,000
ression line?
n the full-precision result you would obtain using Excel.
between advertising budget and sales for Product A:
6
7
8
9
50,000
60,000
70,000
80,000
308,000 376,000 418,000 486,000
10
80,000
499,000
ng budget of $57,000?
n the full-precision result you would obtain using Excel.
between advertising budget and sales for Product A:
6
7
8
9
70,000
80,000
80,000
90,000
440,000 499,000 494,000 536,000
10
100,000
604,000
the relationship between advertising and sales?
n the full-precision result you would obtain using Excel
erships were as follows:
6
7
8
9
10
15
26
45
33
38
n the full-precision result you would obtain using Excel.
erships were as follows:
6
34
7
44
8
29
9
15
n the full-precision result you would obtain using Excel.
sting of five car dealerships, were as follows:
n the full-precision result you would obtain using Excel.
sting of five car dealerships, were as follows:
sample means?
n the full-precision result you would obtain using Excel.
10
30
rd deviation of the distribution of sample means for samples of size 60?
ation mean and standard deviation to compute the standard error as 56.4 for samples of a particula
r samples of a particular size. You don't know the particular sample size but your colleague told you
your colleague told you that the sample size is greater than 70. Your boss asks what the standard
asks what the standard error would be if you triple the sample size.
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