Distance from the beach, x (in miles) Selling price, y (in thousands of dollars) xy 6.3 310.3 1954.89 18.2 214.8 3909.36 14.8 194.6 2880.08 350+ 6.5 302.9 1968.85 9.6 268.2 2574.72 300- 6.7 241.7 1619.39 6.3 212.8 1340.64 250+ 15.4 271.1 4174.94 9.9 279.7 2769.03 200+ 12.5 199.7 2496.25 4.2 258.7 1086.54 150- 8.2 292.3 2396.86 6.2 267.8 1660.36 10 15 20 12.7 202.1 2566.67 Figure 1 9.8 236.5 2317.7 11.2 225.4 2524.48 Send data to calculator Send data to Excel swer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. What is the value of the slope of the least-squares regression line for these data? Round your answer to at||| least two decimal places.

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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 are the products of the distances from the beach and house prices 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)
Selling price, y
(in thousands of
dollars)
ху
6.3
310.3
1954.89
18.2
214.8
3909.36
14.8
194.6
2880.08
350+
6.5
302.9
1968.85
9.6
268.2
2574.72
300+
6.7
241.7
1619.39
6.3
212.8
1340.64
250+
15.4
271.1
4174.94
9.9
279.7
2769.03
200+
12.5
199.7
2496.25
4.2
258.7
1086.54
8.2
292.3
2396.86
150-
6.2
267.8
1660.36
10
15
20
12.7
202.1
2566.67
Figure 1
9.8
236.5
2317.7
11.2
225.4
2524.48
Send data to calculator
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.
What is the value of the slope of the least-squares
regression line for these data? Round your answer to at||
least two decimal places.
Transcribed Image Text:Distance from the beach, x (in miles) Selling price, y (in thousands of dollars) ху 6.3 310.3 1954.89 18.2 214.8 3909.36 14.8 194.6 2880.08 350+ 6.5 302.9 1968.85 9.6 268.2 2574.72 300+ 6.7 241.7 1619.39 6.3 212.8 1340.64 250+ 15.4 271.1 4174.94 9.9 279.7 2769.03 200+ 12.5 199.7 2496.25 4.2 258.7 1086.54 8.2 292.3 2396.86 150- 6.2 267.8 1660.36 10 15 20 12.7 202.1 2566.67 Figure 1 9.8 236.5 2317.7 11.2 225.4 2524.48 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. What is the value of the slope of the least-squares regression line for these data? Round your answer to at|| least two decimal places.
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