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 fifteen 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 fifteen houses. (These products, written in the column labelled "xy", may aid in calculations.) Selling price, 0 Distance from the beach, x (in miles) 4.7 6.3 18.2 11.7 12.3 4.8 6.4 8.9 5.7 8.4 10.1 11.6 11.3 14.0 12.7 Send data to calculator (in thousands of dollars) 242.4 270.8 216.7 206.3 195.9 320.2 311.7 217.1 272.6 290.5 228.5 284.4 228.1 270.0 193.1 xy 1139.28 1706.04 3943.94 2413.71 2409.57 1536.96 1994.88 1932.19 1553.82 2440.2 2307.85 3299.04 2577.53 3780 2452.37 Selling price (in thousands of dollars) 350 300 250 200 150 Figure 1 0 xx x 20 Distance from the beach (in miles) What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three 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 fifteen 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 fifteen houses. (These products, written in the column labelled "xy", may aid in calculations.)
Selling price,
y
(in thousands
of dollars)
242.4
270.8
216.7
206.3
195.9
320.2
311.7
217.1
272.6
290.5
228.5
284.4
228.1
270.0
193.1
0
Distance
from the
beach, x
(in miles)
4.7
6.3
18.2
11.7
12.3
4.8
6.4
8.9
5.7
8.4
10.1
11.6
11.3
14.0
12.7
Send data to calculator
1139.28
1706.04
3943.94
2413.71
2409.57
1536.96
1994.88
1932.19
1553.82
2440.2
2307.85
3299.04
2577.53
3780
2452.37
Selling price
(in thousands of dollars)
350
300
250
200
150
Figure 1
0
Ny
X
5
X
xx
X
10
X
15
X
20
Distance from the beach
(in miles)
x
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal
places and round your answer to at least three 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 fifteen 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 fifteen houses. (These products, written in the column labelled "xy", may aid in calculations.) Selling price, y (in thousands of dollars) 242.4 270.8 216.7 206.3 195.9 320.2 311.7 217.1 272.6 290.5 228.5 284.4 228.1 270.0 193.1 0 Distance from the beach, x (in miles) 4.7 6.3 18.2 11.7 12.3 4.8 6.4 8.9 5.7 8.4 10.1 11.6 11.3 14.0 12.7 Send data to calculator 1139.28 1706.04 3943.94 2413.71 2409.57 1536.96 1994.88 1932.19 1553.82 2440.2 2307.85 3299.04 2577.53 3780 2452.37 Selling price (in thousands of dollars) 350 300 250 200 150 Figure 1 0 Ny X 5 X xx X 10 X 15 X 20 Distance from the beach (in miles) x What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
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