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) 7.7 18.5 6.3 11.9 11.0 14.6 11.3 3.0 10.9 4.9 12.5 5.8 3.6 5.7 9.4 8.1 Send data to calculator Selling price, y (in thousands of dollars) 290.8 215.0 304.4 269.9 283.2 203.4 212.4 263.2 197.3 272.2 215.1 241.6 312.3 221.5 279.1 236.1 xy 2239.16 3977.5 1917.72 3211.81 3115.2 2969.64 2400.12 789.6 2150.57 1333.78 2688.75 1401.28 1124.28 1262.55 2623.54 1912.41 Selling price (in thousands of dollars) 350- 300- 250- 200+ 150. Figure 1 x X X 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.)
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) 7.7 18.5 6.3 11.9 11.0 14.6 11.3 3.0 10.9 4.9 12.5 5.8 3.6 5.7 9.4 8.1 Send data to calculator Selling price, y (in thousands of dollars) 290.8 215.0 304.4 269.9 283.2 203.4 212.4 263.2 197.3 272.2 215.1 241.6 312.3 221.5 279.1 236.1 xy 2239.16 3977.5 1917.72 3211.81 3115.2 2969.64 2400.12 789.6 2150.57 1333.78 2688.75 1401.28 1124.28 1262.55 2623.54 1912.41 Selling price (in thousands of dollars) 350- 300- 250- 200+ 150. Figure 1 x X X 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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.)
Distance
from the
beach, x
(in miles)
7.7
18.5
6.3
11.9
11.0
14.6
11.3
3.0
Selling price,
y
(in thousands
of dollars)
290.8
215.0
304.4
269.9
283.2
203.4
212.4
263.2
197.3
272.2
215.1
241.6
312.3
221.5
279.1
236.1
10.9
4.9
12.5
5.8
3.6
5.7
9.4
8.1
Send data to calculator
xy
2239.16
3977.5
1917.72
3211.81
3115.2
2969.64
2400.12
789.6
2150.57
1333.78
2688.75
1401.28
1124.28
1262.55
2623.54
1912.41
Selling price
(in thousands of dollars)
350+
300-
250+
200-
150.
Figure 1
0
10
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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