Answered: A researcher wants to determine if the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

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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