(a) The variation in the sample y values that is explained by the estimated linear relationshipbetween x and y is given by the ?which for these data is(b) The value r is the proportion of the total variation in the sample y values that isexplained by the estimated linear relationship between x and y. For these data, the value2of r is . (Round your answer to at least 2 decimal places.)(c) The least-squares regression line given above is said to be a line which "best fits" thesample data. The term "best fits" is used because the line has an equation thatminimizes the ?v, which for these data is ? Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the%3Dscatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 2.90+0.98x .In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from theregression equation.Sample dataCalculations80+y75+y-y.0.2601y-yy.55.557.890.060180.640470-60.660.82.214120.178135.760455+65.669.86.82250.16659.120450+68.567.75.428910.56250.846455+76.077.80.1764112.3600121.440450+Column14.9021233.3271247.8080sums50556065707580Send data to ExcelFigure 1

Answered: Image /qna-images/answer/6a8801d0-97b3-4e24-8116-7c7924505506.jpg

(a) The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? which for these data is 2 (b) The value ris the proportion of the total variation in the sample y values that is explained by the estimated linear relationship between x and y. For these data, the value of r is|. (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the ? , which for these data is ?

(a) The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? which for these data is 2 (b) The value ris the proportion of the total variation in the sample y values that is explained by the estimated linear relationship between x and y. For these data, the value of r is|. (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the ? , which for these data is ?

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

(a) The variation in the sample y values that is explained by the estimated linear relationship
between x and y is given by the ?
which for these data is
(b) The value r is the proportion of the total variation in the sample y values that is
explained by the estimated linear relationship between x and y. For these data, the value
2
of r is . (Round your answer to at least 2 decimal places.)
(c) The least-squares regression line given above is said to be a line which "best fits" the
sample data. The term "best fits" is used because the line has an equation that
minimizes the ?
v, which for these data is ?

Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the
%3D
scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 2.90+0.98x .
In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the
regression equation.
Sample data
Calculations
80+
y
75+
y-y.
0.2601
y-y
y.
55.5
57.8
90.0601
80.6404
70-
60.6
60.8
2.2141
20.1781
35.7604
55+
65.6
69.8
6.8225
0.1665
9.1204
50+
68.5
67.7
5.4289
10.5625
0.8464
55+
76.0
77.8
0.1764
112.3600
121.4404
50+
Column
14.9021
233.3271
247.8080
sums
50
55
60
65
70
75
80
Send data to Excel
Figure 1

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1.64 and 1.63 is incorrect please help ()()))
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