Can movie rental revenue be predicted? A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is y = 3.45+0.14.x. Theater revenue, x (in millions of dollars) 13.3 62.0 25.6 44.5 60.5 66.5 28.0 49.0 28.1 20.4 14.1 Rental revenue, y (in millions of dollars) 9.7 10.7 6.9 6.9 15.2 9.5 2.8 15.1 11.8 5.6 2.6 Rental revenue (in millions of dollars) 18- 16- 14 12- 10- 8. 6 4. 2 y X x x X X Xx X X X * x

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**Can movie rental revenue be predicted?**

A movie studio wishes to determine the relationship between the revenue from the rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue \( x \) from theatrical release (in millions of dollars) and the revenue \( y \) from streaming service rentals (in millions of dollars) for each of the fifteen movies. 

Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is:

\[ \hat{y} = 3.45 + 0.14x \]

**Data Table:**

| Theater revenue, \( x \) (in millions of dollars) | Rental revenue, \( y \) (in millions of dollars) |
|---------------------------------------------------|---------------------------------------------------|
| 13.3                                              | 9.7                                               |
| 62.0                                              | 10.7                                              |
| 25.6                                              | 6.9                                               |
| 44.5                                              | 6.9                                               |
| 60.5                                              | 15.2                                              |
| 66.5                                              | 9.5                                               |
| 28.0                                              | 2.8                                               |
| 49.0                                              | 15.1                                              |
| 28.1                                              | 11.8                                              |
| 20.4                                              | 5.6                                               |
| 14.1                                              | 2.6                                               |
| 31.0                                              | 5.1                                               |
| 25.3                                              | 8.9                                               |
| 7.5                                               | 2.3                                               |
| 36.8                                              | 12.7                                              |

**Scatter Plot and Regression Line:**

- The scatter plot displays rental revenue \( y \) on the vertical axis against theater revenue \( x \) on the horizontal axis.
- Each point represents one of the fifteen movies.
- The regression line, depicted on the plot, represents the equation \( \hat{y} = 3.45 + 0.14x \).

**Exercise:**

Based on the studio’s data and the regression line, complete the following:

(a) For these data, values for rental revenue that are greater than the mean of the values
Transcribed Image Text:**Can movie rental revenue be predicted?** A movie studio wishes to determine the relationship between the revenue from the rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue \( x \) from theatrical release (in millions of dollars) and the revenue \( y \) from streaming service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is: \[ \hat{y} = 3.45 + 0.14x \] **Data Table:** | Theater revenue, \( x \) (in millions of dollars) | Rental revenue, \( y \) (in millions of dollars) | |---------------------------------------------------|---------------------------------------------------| | 13.3 | 9.7 | | 62.0 | 10.7 | | 25.6 | 6.9 | | 44.5 | 6.9 | | 60.5 | 15.2 | | 66.5 | 9.5 | | 28.0 | 2.8 | | 49.0 | 15.1 | | 28.1 | 11.8 | | 20.4 | 5.6 | | 14.1 | 2.6 | | 31.0 | 5.1 | | 25.3 | 8.9 | | 7.5 | 2.3 | | 36.8 | 12.7 | **Scatter Plot and Regression Line:** - The scatter plot displays rental revenue \( y \) on the vertical axis against theater revenue \( x \) on the horizontal axis. - Each point represents one of the fifteen movies. - The regression line, depicted on the plot, represents the equation \( \hat{y} = 3.45 + 0.14x \). **Exercise:** Based on the studio’s data and the regression line, complete the following: (a) For these data, values for rental revenue that are greater than the mean of the values
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