Regression/Scatter graphs Flashcards
Models coefficient of determination found how?
R2
Positive linear graphs represented how?
if one variables increase, so does the other one (x increases so does y)
Negative linear graphs represented how?
if one variable increases, the other decreases (x decreases but y increases)
Non linear graphs are?
curved, not in a straight line
Pearsons strength of correlation measures what?
how much 2 variables change together; measure of association between them
Pearson strength of correlation values?
- Perfect positive correlation
0.7 - 0.9. Strong
0.6 - 0.4. Moderate
0.3 - 0.1. Weak
0 Zero
-1 perfect negative correlation
Regression analysis formula
y = a+bx
P values of coefficient give what?
p values in a regression model give the probability that the coefficient in question are close to zero
If p value lower than 5%?
the coefficient is statistically significant
Coefficient of determination, close to 1 shows?
represents a good fit and represents the total variation of the dependent variable that is explained by the regression line
R2 Percentage values and meanings?
under 60% not useful
over 60% useful
above 80% ideal
Assessing the model of case study… what to look for?
Is independent variable suitable?
correlation coefficient (r) = ?
strong association
p-value = ?
statistically significant at less than 1%
Is the coefficient of determination (R2) close to 1?
Model probably adequate for forecasting!
If p value higher than 5%?
the coefficient is statistically insignificant