Question

Use this regression model I created to answer this question:

1. Interpret the slope estimates in this model, interpret the impact of Income on U5MR, and interpret the R2[square].

Regression Statistics
Multiple R	0.443
R Square	0.197
Adjusted R Square	0.190
Standard Error	35.125
Observations	132
ANOVA
	df	SS	MS	F	Significance F
Regression	1	39247.449	39247.449	31.811	1.013E-07
Residual	130	160390.937	1233.776
Total	131	199638.386
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 90.0%	Upper 90.0%
Intercept	53.509	3.733	14.336	1.5E-28	46.124	60.893	47.325	59.692
4090	-0.002	0.000	-5.640	1E-07	-0.002	-0.001	-0.002	-0.001

Answer 1

Use this regression model I created to answer this question:

## 1. Interpret the slope estimates in this model, interpret the impact of Income on U5MR, and interpret the R2[square].

Answer : slope estimates is - 0.002

it is negative as 4090 (or x ) value increases by 1 unit y value decreases as - 0.002 units .

it is affect to the predict y value , but as it is very small it will impact but not much .

# R square = coefficient of determintion : = 0.197

variation explained by model is 0.197 that is 19.7 %  

If R squared value is < 0.3 ie 30 % this value is generally considered a None or very weak effect size

our R square value is < 0.3 hence it is consider as very weak effect size .