What does regression analysis use to minimize the difference between the fitted line and the actual data?
Methods of least squares
What is the equation for best line of fit?
Y=a+b x X
What does the P values tell us about the model?
it tells us whether or not the model is significant
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what determines a good value?
it depends on the sample or population under study and
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What is the goal of simple linear regression?
fit the best line of fit to the data
what is the Y-intercept in the equation?
a
true or false? the percentage of variability is not determined by the fitted model over the total variability in the data
false...
true or false, the independent variable is effected by the dependent variable
false
Is this a positive or negative relationship?
positive
What are the 2 steps in finding the simple linear regression?
- start by examining the relationship through a scatter plot
-verify what you saw in the scatterplot with a correlation coefficient
what determines a good model?
-if the result is significant
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Ho:β= 0
what does this tell us about the independent variable?
tells us that it is not useful for prediction
give an example of a negative correlation.
When the student has many absences so there is a decrease in their grades. when there's is a decrease in attendance, there is a decrease in grades.
true or false,if a correlation coefficient is not significant proceed to regression analysis
false...
What are the two types of tests?
Null: the model is not a good prediction model
Alt:the model is a good and significant prediction model
good if the result is significant and bad if its not significant