We want to predict the selling price of a house in Newburg Park, Florida, based on the distance the house lies from the beach. Suppose that we're given the data in the table below. These data detail the distance from the beach (x, in miles) and the selling price (y, in thousands of dollars) for each of a sample of sixteen homes sold in Newburg Park in the past year. The data are plotted in the scatter plot in Figure 1. Also given is the product of the distance from the beach and the house price for each of the sixteen houses. (These products, written in the column labelled "xy", may aid in calculations.) Distance from the beach, x (in miles) 5.7 9.1 10.6 7.6 17.8 6.2 6.0 6.6 13.6 3.9 13.2 5.0 11.6 10.2 14.8 9.9 Selling price, y (in thousands of dollars) 289.6 238.6 283.0 209.0 233.2 269.4 240.9 275.0 269.1 308.0 207.7 301.7 221.4 269.9 189.4 202.4 xy 1650.72 2171.26 2999.8 1588.4 4150.96 1670.28 1445.4 1815 3659.76 1201.2 2741.64 1508.5 2568.24 2752.98 2803.12 2003.76 Selling price (in thousands of dollars) 350+ 300+ 250 200 150 Figure 1 Distance from the beach. (in miles) Español ? F 90 Aa M

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The data provided aims to predict the selling price of houses in Newburg Park, Florida, based on their distance from the beach. The table includes data for sixteen homes sold over the past year. It features three columns: 

1. **Distance from the beach, \(x\) (in miles)**
2. **Selling price, \(y\) (in thousands of dollars)**
3. **Product of distance and selling price, \(xy\)**

The table is as follows:

| Distance (miles) | Selling Price (thousands of dollars) | \(xy\) |
|------------------|--------------------------------------|-------|
| 5.7              | 289.6                                | 1650.72 |
| 9.1              | 238.6                                | 2171.26 |
| 10.6             | 283.0                                | 2999.8  |
| 7.6              | 209.0                                | 1588.4  |
| 17.8             | 233.2                                | 4150.96 |
| 6.0              | 240.0                                | 1445.4  |
| 6.6              | 275.0                                | 1815    |
| 12.6             | 269.1                                | 3659.76 |
| 3.8              | 317.0                                | 1201.2  |
| 11.3             | 207.7                                | 2346.01 |
| 8.9              | 233.0                                | 1508.5  |
| 12.1             | 212.0                                | 2568.4  |
| 15.0             | 229.6                                | 2752.98 |
| 10.1             | 277.0                                | 2803.12 |
| 9.9              | 202.4                                | 2003.76 |

**Scatter Plot Analysis (Figure 1):**

- **X-Axis**: Represents the distance from the beach in miles.
- **Y-Axis**: Represents the selling price in thousands of dollars.
- The points on the scatter plot show the relationship between the two variables, where a general trend can be observed.

The scatter plot indicates potential trends in how the selling price decreases as the distance
Transcribed Image Text:The data provided aims to predict the selling price of houses in Newburg Park, Florida, based on their distance from the beach. The table includes data for sixteen homes sold over the past year. It features three columns: 1. **Distance from the beach, \(x\) (in miles)** 2. **Selling price, \(y\) (in thousands of dollars)** 3. **Product of distance and selling price, \(xy\)** The table is as follows: | Distance (miles) | Selling Price (thousands of dollars) | \(xy\) | |------------------|--------------------------------------|-------| | 5.7 | 289.6 | 1650.72 | | 9.1 | 238.6 | 2171.26 | | 10.6 | 283.0 | 2999.8 | | 7.6 | 209.0 | 1588.4 | | 17.8 | 233.2 | 4150.96 | | 6.0 | 240.0 | 1445.4 | | 6.6 | 275.0 | 1815 | | 12.6 | 269.1 | 3659.76 | | 3.8 | 317.0 | 1201.2 | | 11.3 | 207.7 | 2346.01 | | 8.9 | 233.0 | 1508.5 | | 12.1 | 212.0 | 2568.4 | | 15.0 | 229.6 | 2752.98 | | 10.1 | 277.0 | 2803.12 | | 9.9 | 202.4 | 2003.76 | **Scatter Plot Analysis (Figure 1):** - **X-Axis**: Represents the distance from the beach in miles. - **Y-Axis**: Represents the selling price in thousands of dollars. - The points on the scatter plot show the relationship between the two variables, where a general trend can be observed. The scatter plot indicates potential trends in how the selling price decreases as the distance
What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)

[There is a text input field and two buttons: one with a recycle bin icon and another with an 'X' and a circular arrow icon.]
Transcribed Image Text:What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) [There is a text input field and two buttons: one with a recycle bin icon and another with an 'X' and a circular arrow icon.]
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