MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Linear Relationship between Advertising and Sales

#### Dataset

The table below presents the data for the number of radio & TV ads (in 1000s) utilized for a concert and the corresponding sales figures (in $1000).

| Radio & TV ads (in 1000s) | Sales ($1000) |
|----------------------------|---------------|
| 0                          | 1119          |
| 0                          | 973           |
| 25                         | 875           |
| 25                         | 625           |
| 30                         | 910           |
| 30                         | 971           |
| 35                         | 931           |
| 35                         | 1177          |
| 40                         | 882           |
| 40                         | 982           |
| 45                         | 1628          |
| 45                         | 1577          |
| 50                         | 1044          |
| 50                         | 914           |
| 55                         | 1329          |
| 55                         | 1330          |
| 60                         | 1405          |
| 60                         | 1436          |
| 65                         | 1521          |
| 65                         | 1741          |
| 70                         | 1866          |
| 70                         | 1717          |

#### Instructions

**(a)** Create a scatterplot of these data using sales for the vertical axis. Move and resize it so that it appears between columns D and H below this question.

![Insert scatterplot here]

**(b)** Compute the correlation between the number of ads and sales. Provide your final answer in the yellow highlighted cell.

**Answer:** 
\[ \text{Correlation: } \]
\[ CELL D27 \]

**(c)** Perform a simple linear regression analysis using sales as the response variable (y). Provide your answer starting at the yellow highlighted cell.

**Answer:** 
\[ \text{Linear Regression Analysis:} \]
\[ CELL D34 \]

This setup helps in understanding the relationship between the ads and the sales numbers. The scatterplot will visually display this relationship, while the correlation will quantify the strength and direction of the relationship. The linear regression analysis will provide insights into how much sales are expected to change with a change in the number of ads.
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Transcribed Image Text:### Linear Relationship between Advertising and Sales #### Dataset The table below presents the data for the number of radio & TV ads (in 1000s) utilized for a concert and the corresponding sales figures (in $1000). | Radio & TV ads (in 1000s) | Sales ($1000) | |----------------------------|---------------| | 0 | 1119 | | 0 | 973 | | 25 | 875 | | 25 | 625 | | 30 | 910 | | 30 | 971 | | 35 | 931 | | 35 | 1177 | | 40 | 882 | | 40 | 982 | | 45 | 1628 | | 45 | 1577 | | 50 | 1044 | | 50 | 914 | | 55 | 1329 | | 55 | 1330 | | 60 | 1405 | | 60 | 1436 | | 65 | 1521 | | 65 | 1741 | | 70 | 1866 | | 70 | 1717 | #### Instructions **(a)** Create a scatterplot of these data using sales for the vertical axis. Move and resize it so that it appears between columns D and H below this question. ![Insert scatterplot here] **(b)** Compute the correlation between the number of ads and sales. Provide your final answer in the yellow highlighted cell. **Answer:** \[ \text{Correlation: } \] \[ CELL D27 \] **(c)** Perform a simple linear regression analysis using sales as the response variable (y). Provide your answer starting at the yellow highlighted cell. **Answer:** \[ \text{Linear Regression Analysis:} \] \[ CELL D34 \] This setup helps in understanding the relationship between the ads and the sales numbers. The scatterplot will visually display this relationship, while the correlation will quantify the strength and direction of the relationship. The linear regression analysis will provide insights into how much sales are expected to change with a change in the number of ads.
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