The following are advertised sale prices of color televisions at an electronics store. Size (inches) Sale Price ($) 9 137 20 177 27 287 31 447 35 1177 40 2177 60 2497 Part (a) Part (b) Part (c) Part (d) O Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? Yes No O Part (f) Find the estimated sale price for a 34 inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Find the estimated sale price for a 52 inch television. (Use your equation from part (d). Round your answer to two decimal places.) O Part (g) Does it appear that a line is the best way to fit the data? Why or why not? A line does not appear to be the best way to fit the data because it does not touch all the data points. A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive. A line does appear to be the best way to fit the data because the data follow a weak positive trend. A line does not appear to be the best way to fit the data because the data do not follow a linear trend. O O O

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please label each part

### Advertised Sale Prices of Color Televisions

The table below shows the advertised sale prices of color televisions at an electronics store:

| Size (inches) | Sale Price ($) |
|---------------|----------------|
| 9             | 137            |
| 20            | 177            |
| 27            | 287            |
| 31            | 447            |
| 35            | 1177           |
| 40            | 2177           |
| 60            | 2497           |

### Tasks & Questions

**Part (e)**  
Find the correlation coefficient \( r \). (Round your answer to four decimal places.)  
\[ r = \text{________} \]

Is it significant?
- [ ] Yes
- [ ] No

**Part (f)**  
- Find the estimated sale price for a 34 inch television. (Use your equation from part (d). Round your answer to two decimal places.)  
  \[ \text{Estimated Price} = \$ \text{________} \]

- Find the estimated sale price for a 52 inch television. (Use your equation from part (d). Round your answer to two decimal places.)  
  \[ \text{Estimated Price} = \$ \text{________} \]

**Part (g)**  
Does it appear that a line is the best way to fit the data? Why or why not?
- [ ] A line does not appear to be the best way to fit the data because it does not touch all the data points.
- [ ] A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive.
- [ ] A line does appear to be the best way to fit the data because the data follow a weak positive trend.
- [ ] A line does not appear to be the best way to fit the data because the data do not follow a linear trend.

This exercise aims to analyze the relationship between the size of televisions and their sale prices using statistical methods.
Transcribed Image Text:### Advertised Sale Prices of Color Televisions The table below shows the advertised sale prices of color televisions at an electronics store: | Size (inches) | Sale Price ($) | |---------------|----------------| | 9 | 137 | | 20 | 177 | | 27 | 287 | | 31 | 447 | | 35 | 1177 | | 40 | 2177 | | 60 | 2497 | ### Tasks & Questions **Part (e)** Find the correlation coefficient \( r \). (Round your answer to four decimal places.) \[ r = \text{________} \] Is it significant? - [ ] Yes - [ ] No **Part (f)** - Find the estimated sale price for a 34 inch television. (Use your equation from part (d). Round your answer to two decimal places.) \[ \text{Estimated Price} = \$ \text{________} \] - Find the estimated sale price for a 52 inch television. (Use your equation from part (d). Round your answer to two decimal places.) \[ \text{Estimated Price} = \$ \text{________} \] **Part (g)** Does it appear that a line is the best way to fit the data? Why or why not? - [ ] A line does not appear to be the best way to fit the data because it does not touch all the data points. - [ ] A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive. - [ ] A line does appear to be the best way to fit the data because the data follow a weak positive trend. - [ ] A line does not appear to be the best way to fit the data because the data do not follow a linear trend. This exercise aims to analyze the relationship between the size of televisions and their sale prices using statistical methods.
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