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) 13.3 224.2 10.0 288.0 13.7 272.4 10.0 229.5 4.6 274.1 12.7 190.6 8.2 289.4 9.1 215.4 11.5 272.8 7.0 244.4 4.9 309.5 12.4 198.9 7.0 305.4 11.8 202.5 5.7 277.1 18.0 228.5 y 150 200 250 300 350 x 5 10 15 20 0 Figure 1 The value of the sample correlation coefficient r for these data is approximately −0.577 . Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers 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. 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

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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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 (

, in miles) and the selling price (

, 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)
13.3	224.2
10.0	288.0
13.7	272.4
10.0	229.5
4.6	274.1
12.7	190.6
8.2	289.4
9.1	215.4
11.5	272.8
7.0	244.4
4.9	309.5
12.4	198.9
7.0	305.4
11.8	202.5
5.7	277.1
18.0	228.5

150

200

250

300

350

Figure 1

The value of the sample correlation coefficient

for these data is approximately

−0.577

Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers 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.
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.

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