Model 1 Coefficients Unstandardized Coefficients B Std. Error (Constant) 38558.128 GPA 4613.560 a. Dependent Variable: Salary 10914.947 2678.127 Standardized Coefficients Beta .249 t 3.533 1.723 Sig. .001 .092 Test the null hypothesis that the population slope is equal to zero against the alternative hypothesis that the population slope is greater than zero. Conduct the test at the .05 level of significance. State your conclusion and explain how you arrived at that conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Does it pay off to study hard at university and graduate with a high grade point average (GPA)? A
researcher has collected data on the GPA (2.0-5.0) and the starting annual salary (in euros) of a
representative sample of 47 graduates from a Business and Management programme. The
researcher used SPSS to fit a simple linear regression model on the data. The SPSS output is shown
below.
Model
1
R Square
.062
Predictors: (Constant), GPA
Model
1
Model Summary
R
.249a
Adjusted R
Square
Sum of
Squares
388536190.7
Regression
Residual
Total
a. Dependent Variable: Salary
b. Predictors: (Constant), GPA
5891610696
6280146887
041
ANOVA
df
Std. Error of
the Estimate
11442.232
Mean Square
1
388536190.7
45 130924682.1
46
F
2.968
Sig.
.092b
Transcribed Image Text:Does it pay off to study hard at university and graduate with a high grade point average (GPA)? A researcher has collected data on the GPA (2.0-5.0) and the starting annual salary (in euros) of a representative sample of 47 graduates from a Business and Management programme. The researcher used SPSS to fit a simple linear regression model on the data. The SPSS output is shown below. Model 1 R Square .062 Predictors: (Constant), GPA Model 1 Model Summary R .249a Adjusted R Square Sum of Squares 388536190.7 Regression Residual Total a. Dependent Variable: Salary b. Predictors: (Constant), GPA 5891610696 6280146887 041 ANOVA df Std. Error of the Estimate 11442.232 Mean Square 1 388536190.7 45 130924682.1 46 F 2.968 Sig. .092b
Model
1
Coefficients
Unstandardized Coefficients
B
Std. Error
(Constant)
38558.128
GPA
4613.560
a. Dependent Variable: Salary
10914.947
2678.127
Standardized
Coefficients
Beta
.249
t
3.533
1.723
Sig.
.001
.092
Test the null hypothesis that the population slope is equal to zero against the alternative hypothesis
that the population slope is greater than zero. Conduct the test at the .05 level of significance. State
your conclusion and explain how you arrived at that conclusion.
Transcribed Image Text:Model 1 Coefficients Unstandardized Coefficients B Std. Error (Constant) 38558.128 GPA 4613.560 a. Dependent Variable: Salary 10914.947 2678.127 Standardized Coefficients Beta .249 t 3.533 1.723 Sig. .001 .092 Test the null hypothesis that the population slope is equal to zero against the alternative hypothesis that the population slope is greater than zero. Conduct the test at the .05 level of significance. State your conclusion and explain how you arrived at that conclusion.
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