Consider the following data for a dependent variable y and two independent variables, x, and x2. X1 X2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x,. (Round your numerical values to one decimal place.) Predict y if x, = 51. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x, = 19. (Round your answer to one decimal place.) %3D (c) Develop an estimated regression equation relating y to x, and x,. (Round your numerical values to one decimal pla

Consider the following data for a dependent variable y and two independent variables, x, and x2. X1 X2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x,. (Round your numerical values to one decimal place.) Predict y if x, = 51. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x, = 19. (Round your answer to one decimal place.) %3D (c) Develop an estimated regression equation relating y to x, and x,. (Round your numerical values to one decimal pla

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

Consider the following data for a dependent variable y and two independent variables, x, and x,.
X1
X2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
(a) Develop an estimated regression equation relating y to x,. (Round your numerical values to one decimal place.)
Predict y if x, = 51. (Round your answer to one decimal place.)
(b) Develop an estimated regression equation relating y to x,. (Round your numerical values to one decimal place.)
ý =
Predict y if x, = 19. (Round your answer to one decimal place.)
(c) Develop an estimated regression equation relating y to x, and x,. (Round your numerical values to one decimal place.)

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