The least squares regression line for these data has a slope of approximately -0.27. Answer the following. Carry your intermediate computation to at least four decimal places, and rounder answers as specified below. 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 coefficients for these data? Round your answer to at least three decimal places.

The least squares regression line for these data has a slope of approximately -0.27. Answer the following. Carry your intermediate computation to at least four decimal places, and rounder answers as specified below. 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 coefficients for these data? Round your answer to at least three decimal places.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.FOM: Focus On Modeling: Fitting Lines To Data

Problem 11P

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Question

The least squares regression line for these data has a slope of approximately -0.27. Answer the following. Carry your intermediate computation to at least four decimal places, and rounder answers as specified below.
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 coefficients for these data? Round your answer to at least three decimal places.

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O CORRELATION AND SIMPLE LINEAR REGRESSION
Relating the sample correlation coefficient and the parameters ...
OSHIBA
GA scale score, x
Explanation
9.0
7.0
4.0
2.0
3.3
5.0
6.1
8.1
M
Check
B
_
Sleep time, y
(in hours)
6.2
6.7
8.9
6.8
8.2
6.2
5.7
8.1
6.0
5.3
7.2
8.7
Sleep time
(in hours)
Figure 1
10+
T
#ma
N
GA scale score
E
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Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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