Q4. Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable).   ANOVA       df SS Regression   1 115.064 Residual 13   82.936 Total             Coefficients Standard Error Intercept 15.532 1.457 x  -1.106 0.261   Perform a t test using the p-value approach and determine whether or not Y and X are related. Let a = 0.05.   Formulate the null and alternative hypotheses     Select the significance level     Select the test statistic and calculate its value.           Identify p-value/critical value for the test statistics and state the decision rule                           Compare calculated/p-value and critical/al[ha values and reach a conclusion about the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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Q4. Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable).

 

ANOVA

 

 

 

df

SS

Regression

  1

115.064

Residual

13

  82.936

Total

 

 

 

 

 

 

Coefficients

Standard Error

Intercept

15.532

1.457

x

 -1.106

0.261

 

Perform a t test using the p-value approach and determine whether or not Y and X are related. Let a = 0.05.

 

  1. Formulate the null and alternative hypotheses

 

 

  1. Select the significance level

 

 

  1. Select the test statistic and calculate its value.

 

 

     

  1. Identify p-value/critical value for the test statistics and state the decision rule

 

                       

  1. Compare calculated/p-value and critical/al[ha values and reach a conclusion about the null hypothesis
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