Relationship between advertising budget and sales

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Reference no: EM131972181

1 Consider the following sample data for the relationship between advertising budget and sales for Product A:

Observation 1 2 3 4 5 6 7 8 9 10

Advertising ($)100,000 110,000 1 10,000 120,000 130,000 130,000 140,000 150,000 150,000 160,000

Sales ($)603,000 676,000 655,000 748,000 796,000 785,000 858,000 891,000 935,000 980,000

What is the predicted sales quantity for an advertising budget of $136,000?

Please round your answer to the nearest integer.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

2 Consider the following sample data for the relationship between advertising budget and sales for Product A:

Observation 1 2 3 4 5 6 7 8 9 10

Advertising ($)60,000 70,000 70,000 80,000 80,000 90,000 100,000 100,0001 10,000 110,000

Sales ($)363,000 432,000 417,000 502,000 483,000 537,000 614,000 625,000 653,000 666,000

What is the R2 coefficient of determination value for the relationship between advertising and sales?

Please round your answer to the nearest hundredth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

3 A corporation produces packages of paper clips. The number of clips per package varies, as indicated below for a sample of 20 packages.

52 50 51 53 52 49 50 47 48 51 53 50 48 51 53 50 52 49 47 51

make a histogram.

How many packages contain between 47 and 52 clips (inclusive) per package?

Please specify your answer as an integer.

A corporation produces packages of paper clips. The number of clips per package varies, as indicated below for a sample of 20 packages.

53 50 51 48 47 50 52 48 50 51 52 48 49 52 50 51 47 49 53 49

make a probability density function.

What is the probability that a randomly chosen package contains between 49 and 53 clips (inclusive) per package?

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

3 Let X be a discrete random variable. If Pr(X<10) = 1/4, and Pr(X>10) = 1/5, then what is Pr(X=10)?

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

4 Let X be a discrete random variable. If Pr(X<6) = 3/9, and Pr(X<=6) = 7/18, then what is Pr(X=6)?

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

5 A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.

Number of complaints 0 1 2 3 4 5

Probability 0.15 0.26 0.34 0.06 0.09 0.10

What is the probability of between 2 and 3 (inclusive) complaints received per week?

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

6 A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.

Number of complaints 0 1 2 3 4 5

Probability 0.17 0.30 0.33 0.07 0.05 0.08

What is the mean of complaints received per week?

Please round your answer to the nearest hundredth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

7 A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.

Number of complaints 0 1 2 3 4 5

Probability 0.15 0.26 0.34 0.06 0.09 0.10

What is the variance of complaints received per week?

Please round your answer to the nearest hundredth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

Reference no: EM131972181

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