Below are bivariate data giving birthrate and life expectancy information for each oftwelve countries. For each of the countries, both the number of births x per onethousand people in the population and the female life expectancy y (in years) are given.These data are displayed in the Figure 1 scatter plot.Birthrate, x(number ofbirths per 1000pop.)Female lifeexpectancy, y(in years)80-49.961.528.472.575-49.960.970+24.574.765-14.970.960-50.553.95539.665.136.869.350-31.763.746.257.619.274.0Figure 114.775.0x = 33.86ỹ = 66.59Sx = 13.65Sy7.15The least-squares regression line for these data has a slope of approximately –0.46.Answer the following. Carry your intermediate computations to at least four decimalplaces.a. What is the value of the y-intercept of the least-squares regression line for thesedata? Round your answer to at least two decimal places.b. What is the value of the sample correlation coefficient for these data? Round youranswer to at least three decimal places.

Given that, x¯=33.86, y¯=66.59 sx=13.65, sy=7.15 The slope of least square regression line is…

The least-squares regression line for these data has a slope of approximately –0.46. Answer the following. Carry your intermediate computations to at least four decimal places. 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.

The least-squares regression line for these data has a slope of approximately –0.46. Answer the following. Carry your intermediate computations to at least four decimal places. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Below are bivariate data giving birthrate and life expectancy information for each of
twelve countries. For each of the countries, both the number of births x per one
thousand people in the population and the female life expectancy y (in years) are given.
These data are displayed in the Figure 1 scatter plot.
Birthrate, x
(number of
births per 1000
pop.)
Female life
expectancy, y
(in years)
80-
49.9
61.5
28.4
72.5
75-
49.9
60.9
70+
24.5
74.7
65-
14.9
70.9
60-
50.5
53.9
55
39.6
65.1
36.8
69.3
50-
31.7
63.7
46.2
57.6
19.2
74.0
Figure 1
14.7
75.0
x = 33.86
ỹ = 66.59
Sx = 13.65
Sy
7.15
The least-squares regression line for these data has a slope of approximately –0.46.
Answer the following. Carry your intermediate computations to at least four decimal
places.
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.

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