Consider the following data for a dependent variable y and two independent variables, x,and x2.X1 X2 y301292471010825171125116178405945119175747170361211759131427616212The estimated regression equation for these data isŷ = -20.08 + 2.04x, + 4.77x2'%DHere, SST =15,514.0, SSR14,359.4, Sb1= 0.2497,= 0.9584.and (c) Is B, significant? Use a = 0.05.State the null and alternative hypotheses.Ho: B2Ha: B2 > 0Ho: B2 < 0H3: B2 2 0O Ho: B2 > 0Ha: B2s 0O Ho: B2 # 0Ha: B2O Ho: B2 = 0Ha: B2 # 0Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-valueState your conclusion.Do not reject Ho: There is sufficient evidence to conclude that B, is significant.Do not reject Ho. There is insufficient evidence to conclude that B, is significant.Reject Ho. There is sufficient evidence to conclude that ß, is significant.Reject Ho. There is insufficient evidence to conclude that ß, is significant.

There are two independent variables which are named as x1 and x2. The dependent variable is y. We…

Consider the following data for a dependent variable y and two independent variables, X1 and X2. X1 X2 y 30 12 92 47 10 108 25 17 112 51 16 178 40 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 212 The estimated regression equation for these data is = -20.08 + 2.04x, + 4.77x2' Here, SST = 15,514.0, SSR = 14,359.4, sp. = 0.2497, and Sp. = 0.9584. %3D

Consider the following data for a dependent variable y and two independent variables, X1 and X2. X1 X2 y 30 12 92 47 10 108 25 17 112 51 16 178 40 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 212 The estimated regression equation for these data is = -20.08 + 2.04x, + 4.77x2' Here, SST = 15,514.0, SSR = 14,359.4, sp. = 0.2497, and Sp. = 0.9584. %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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

100%

Consider the following data for a dependent variable y and two independent variables, x,
and x2.
X1 X2 y
30
12
92
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
212
The estimated regression equation for these data is
ŷ = -20.08 + 2.04x, + 4.77x2'
%D
Here, SST =
15,514.0, SSR
14,359.4, Sb1
= 0.2497,
= 0.9584.
and

(c) Is B, significant? Use a = 0.05.
State the null and alternative hypotheses.
Ho: B2
Ha: B2 > 0
Ho: B2 < 0
H3: B2 2 0
O Ho: B2 > 0
Ha: B2s 0
O Ho: B2 # 0
Ha: B2
O Ho: B2 = 0
Ha: B2 # 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value
State your conclusion.
Do not reject Ho: There is sufficient evidence to conclude that B, is significant.
Do not reject Ho. There is insufficient evidence to conclude that B, is significant.
Reject Ho. There is sufficient evidence to conclude that ß, is significant.
Reject Ho. There is insufficient evidence to conclude that ß, is significant.

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