Concept explainers
(a)
To find: The
(a)
Answer to Problem 10CT
The correlation for the data set is positive as the increase in
Explanation of Solution
Given:
The given table is shown in Table 1
Table 1
Advertising (dollars )x | Yearly attendance, y |
500 | 400 |
1000 | 550 |
1500 | 550 |
2000 | 800 |
2500 | 650 |
3000 | 800 |
3500 | 1050 |
4000 | 1100 |
Calculation:
The scatter plot for the table 1 is shown in Figure 1
Figure 1
The correlation for the data set is positive as the increase in
(b)
To find: The equation that models the attendance as the function of the amount that is spent on the modelling.
(b)
Answer to Problem 10CT
The required model is
Explanation of Solution
Given:
The given table is shown in Table 1
Table 1
Advertising (dollars )x | Yearly attendance, y |
500 | 400 |
1000 | 550 |
1500 | 550 |
2000 | 800 |
2500 | 650 |
3000 | 800 |
3500 | 1050 |
4000 | 1100 |
Calculation:
Consider the two points
Then, the equation of the line is,
Thus, the required model is
(c)
To find: The interpretation of the slope and the y intercept of the line of fit.
(c)
Answer to Problem 10CT
The slope of the line is 0.2 that shows that the rate of increase in yearly attendance of $1 of advertising. Thus, the y intercept is the yearly attendance of 300 for the advertising amount of $0.
Explanation of Solution
Given:
The given table is shown in Table 1
Table 1
Advertising (dollars )x | Yearly attendance, y |
500 | 400 |
1000 | 550 |
1500 | 550 |
2000 | 800 |
2500 | 650 |
3000 | 800 |
3500 | 1050 |
4000 | 1100 |
Calculation:
From the figure 1 and the data obtained in part (b), the slope of the line is 0.2 that shows that the rate of increase in yearly attendance of $1 of advertising. Thus, the y intercept is the yearly attendance of 300 for the advertising amount of $0.
Chapter 4 Solutions
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