Question: Mrs. Durdana runs a floral gift shop in the Defense area, Karachi. She advertises weekly in the local newspapers and is considering increasing her advertising budget. Before doing so, she decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses against sales volume for each is shown in Table 3. Justify if any linearity exists between sales and advertising using scatter plots. Quantify the linearity between sales and advertising by finding the correlation coefficient value. Develop a regression equation that would help Mrs. Durdana evaluate her sales using the advertising budget. S.No. Sales (PKR 100) Advertising (PKR 100) 1.00 6.00 4.50 2.00 7.30 5.20 3.00 6.20 4.05 4.00 8.00 7.00 5.00 3.50 3.20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question: Mrs. Durdana runs a floral gift shop in the Defense area, Karachi. She advertises weekly in the local newspapers and is considering increasing her advertising budget. Before doing so, she decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses against sales volume for each is shown in Table 3.

  1. Justify if any linearity exists between sales and advertising using scatter plots.
  2. Quantify the linearity between sales and advertising by finding the correlation coefficient value.
  3. Develop a regression equation that would help Mrs. Durdana evaluate her sales using the advertising budget.

S.No.

Sales (PKR 100)

Advertising (PKR 100)

1.00

6.00

4.50

2.00

7.30

5.20

3.00

6.20

4.05

4.00

8.00

7.00

5.00

3.50

3.20

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