QUESTION 5

Please interpret the results and write up the results according to the handbook for the following scenario.

Is there a relationship between GPA and ACT composite scores?A student ran a correlation test and had the following results:

GPA ACT

2.5 17

2.6 14

2.7 18

3.1 19

3.2 20

3 20

3.5 21

SUMMARY OUTPUT

Regression Statistics

Multiple R 0.83447962

R Square 0.69635624

Adjusted R Square 0.63562749

Standard Error 0.21724391

Observations 7

ANOVA

df SS MS F SignificanceF

Regression 1 0.541168 0.541168 11.46666 0.019541

Residual 5 0.235975 0.047195

Total 6 0.777143

Coefficients StandardError t Stat P-value Lower 95% Upper 95% Lower95.0% Upper95.0%

Intercept 0.608051 0.6943689 0.875689 0.421268 -1.17688 2.392983 -1.176881 2.392983

ACT 10.126695 0.0374145 3.386246 0.019541 0.030518 0.222872 0.030518 0.222872