A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA).  Let x be the hours worked per week and y the GPA for the year.  A summary of the results is below.  What can the university conclude with α = 0.05? n=31 Σ y= 56 , Σ x=515 Σ y^​2= 128 , Σ x^2= 11022 Σ yx= 827 , Σ (y- ŷ)² = 23   A) Compute the quantities below. b̂0=     &          b̂= What GPA is predicted when a students works 18 hours a week?   B) Obtain/compute the appropriate values for H1: β > 0. critical value =  test statistic=   C) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA).  Let x be the hours worked per week and y the GPA for the year.  A summary of the results is below.  What can the university conclude with α = 0.05?

n=31

Σ y= 56 , Σ x=515

Σ y^​2= 128 , Σ x^2= 11022

Σ yx= 827 , Σ (y- ŷ)² = 23

 

A) Compute the quantities below.

b̂0=     &          b̂=

What GPA is predicted when a students works 18 hours a week?

 

B) Obtain/compute the appropriate values for H1: β > 0.

critical value = 

test statistic=

 

C) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.

 

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