A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7.    Years of Education of Parent: 13, 9, 12, 10, 12, 10, 12 Years of Education of their Child: 15, 11, 10, 16, 17, 12, 17   Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. If there is a significant linear correlation between the variables, determine the regression equation.  There is a significant correlation between the variables and the regression equation is y' = 5.333 + 0.777x  There is a significant correlation between the variables and the regression equation is y' = 0.777 + 5.333x  There is not a significant correlation between the variables, so the regression equation should not be determined.  There is a significant correlation between the variables and the regression equation is y' = 8.451 + 0.1923x

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. 

 

Years of Education of Parent: 13, 9, 12, 10, 12, 10, 12

Years of Education of their Child: 15, 11, 10, 16, 17, 12, 17

 

Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. If there is a significant linear correlation between the variables, determine the regression equation.

 There is a significant correlation between the variables and the regression equation is y' = 5.333 + 0.777x
 There is a significant correlation between the variables and the regression equation is y' = 0.777 + 5.333x
 There is not a significant correlation between the variables, so the regression equation should not be determined.
 There is a significant correlation between the variables and the regression equation is y' = 8.451 + 0.1923x
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