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 (v, 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) 10.7 9.2 13.7 5.8 7.7 17.4 11.4 9.8 6.9 6.9 9.9 5.6 7.5 4.2 14.3 14.2 Send data to calculator Selling price, y (in thousands of dollars) 289.2 233.9 201.0 306.5 210.9 217.2 234.3 264.6 292.8 267.0 216.8 274.8 234.9 317.1 192.0 259.3 xy 3094.44 2151.88 2753.7 1777.7 1623.93 3779.28 2671.02 2593.08 2020.32 1842.3 2146.32 1538.88 1761.75 1331.82 2745.6 3682.06 Selling price (in thousands of dollars) 350- 300+ 250- 200. Figure 1 150. X XX X x Distance from the beach (in miles) 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.)

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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.)
Selling price,
y
(in thousands
of dollars)
289.2
233.9
201.0
306.5
210.9
217.2
234.3
264.6
292.8
267.0
216.8
274.8
234.9
317.1
192.0
259.3
Distance
from the
beach, x
(in miles)
10.7
9.2
13.7
5.8
7.7
17.4
11.4
9.8
6.9
6.9
9.9
5.6
7.5
4.2
14.3
14.2
Send data to calculator
ху
3094.44
2151.88
2753.7
1777.7
1623.93
3779.28
2671.02
2593.08
2020.32
1842.3
2146.32
1538.88
1761.75
1331.82
2745.6
3682.06
Selling price
(in thousands of dollars)
350-
300-
250.
200
150
Figure 1
0
X
Distance from the beach
(in miles)
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.)
Transcribed Image Text: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.) Selling price, y (in thousands of dollars) 289.2 233.9 201.0 306.5 210.9 217.2 234.3 264.6 292.8 267.0 216.8 274.8 234.9 317.1 192.0 259.3 Distance from the beach, x (in miles) 10.7 9.2 13.7 5.8 7.7 17.4 11.4 9.8 6.9 6.9 9.9 5.6 7.5 4.2 14.3 14.2 Send data to calculator ху 3094.44 2151.88 2753.7 1777.7 1623.93 3779.28 2671.02 2593.08 2020.32 1842.3 2146.32 1538.88 1761.75 1331.82 2745.6 3682.06 Selling price (in thousands of dollars) 350- 300- 250. 200 150 Figure 1 0 X Distance from the beach (in miles) 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.)
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