Distance from the beach, x (in miles) Selling price, y (in thousands of dollars) 313.4 250- x x 5.8 5.7 271.4 12.2 198.4 350- 4.0 320.9 9.9 228.7 5.4 270.8 5.3 246.4 11.9 197.8 16.5 224.3 Selling price (in thousands of dollars) 300 200 10.8 281.1 150 14.0 257.0 0 8.9 299.4 5.4 210.9 11.5 192.4 Figure 1 8.6 233.0 10.3 272.6 Send data to calculator Send data to Excel #+ 10 15 Distance from the beach (in miles) x The least-squares regression line for these data has a slope of approximately -5.58. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. Distance from the Selling price, y beach, x (in mila) [In thousands of dullur) 5.00 3134 5.7 2/14 12.2 195.4 4.0 320.9 9.9 225.7 5.4 270.5 5.3 745.4 11.9 197.5 16.5 224.3 10.5 281.1 14.0 257.0 п.п 299.4 5.4 210.9 11.5 192.4 0.6 233.0 ד.תן 7775

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.6: Percent Applications
Problem 2E
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Question

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.

Distance from the
beach, x
(in miles)
Selling price, y
(in thousands of
dollars)
313.4
250-
x x
5.8
5.7
271.4
12.2
198.4
350-
4.0
320.9
9.9
228.7
5.4
270.8
5.3
246.4
11.9
197.8
16.5
224.3
Selling price
(in thousands of dollars)
300
200
10.8
281.1
150
14.0
257.0
0
8.9
299.4
5.4
210.9
11.5
192.4
Figure 1
8.6
233.0
10.3
272.6
Send data to calculator
Send data to Excel
#+
10
15
Distance from the beach
(in miles)
x
Transcribed Image Text:Distance from the beach, x (in miles) Selling price, y (in thousands of dollars) 313.4 250- x x 5.8 5.7 271.4 12.2 198.4 350- 4.0 320.9 9.9 228.7 5.4 270.8 5.3 246.4 11.9 197.8 16.5 224.3 Selling price (in thousands of dollars) 300 200 10.8 281.1 150 14.0 257.0 0 8.9 299.4 5.4 210.9 11.5 192.4 Figure 1 8.6 233.0 10.3 272.6 Send data to calculator Send data to Excel #+ 10 15 Distance from the beach (in miles) x
The least-squares regression line for these data has a slope of approximately -5.58.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a
list of formulas.)
(a) What is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
(b) What is the value of the sample correlation coefficient for these data?
Round your answer to at least three decimal places.
Distance from the
Selling price, y
beach, x
(in mila)
[In thousands of
dullur)
5.00
3134
5.7
2/14
12.2
195.4
4.0
320.9
9.9
225.7
5.4
270.5
5.3
745.4
11.9
197.5
16.5
224.3
10.5
281.1
14.0
257.0
п.п
299.4
5.4
210.9
11.5
192.4
0.6
233.0
ד.תן
7775
Transcribed Image Text:The least-squares regression line for these data has a slope of approximately -5.58. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. Distance from the Selling price, y beach, x (in mila) [In thousands of dullur) 5.00 3134 5.7 2/14 12.2 195.4 4.0 320.9 9.9 225.7 5.4 270.5 5.3 745.4 11.9 197.5 16.5 224.3 10.5 281.1 14.0 257.0 п.п 299.4 5.4 210.9 11.5 192.4 0.6 233.0 ד.תן 7775
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