Podcast
Questions and Answers
What is the range of the Pearson correlation coefficient?
What is the range of the Pearson correlation coefficient?
- -2 to 0
- 0 to 2
- -1 to 1 (correct)
- 1 to 3
If points fall on a straight line with a negative slope, what value would the correlation coefficient have?
If points fall on a straight line with a negative slope, what value would the correlation coefficient have?
- 1
- 0
- -1 (correct)
- 2
What does a correlation of 0 indicate?
What does a correlation of 0 indicate?
- Strong linear relationship
- Perfect negative correlation
- Points are not linearly related (correct)
- Perfect positive correlation
How does changing the units of measurement affect the correlation coefficient?
How does changing the units of measurement affect the correlation coefficient?
What is the sample covariance defined as with respect to bivariate data?
What is the sample covariance defined as with respect to bivariate data?
In an elementary school where shoe size and reading level are measured, what kind of correlation is observed?
In an elementary school where shoe size and reading level are measured, what kind of correlation is observed?
What is Age referred to as in the context of the text?
What is Age referred to as in the context of the text?
Why should we only consider linear relationships in the context of linear regression?
Why should we only consider linear relationships in the context of linear regression?
What does a lurking variable cause in the correlation between two variables?
What does a lurking variable cause in the correlation between two variables?
What is the objective of linear regression according to the text?
What is the objective of linear regression according to the text?
Which variable is referred to as the response in linear regression?
Which variable is referred to as the response in linear regression?
Why are linear relationships preferred over nonlinear ones in certain cases?
Why are linear relationships preferred over nonlinear ones in certain cases?
What do the constants β0 and β1 represent in the equation of a straight line y = β1x + β0?
What do the constants β0 and β1 represent in the equation of a straight line y = β1x + β0?
Why is it challenging to determine the 'best-fitting' line using visual inspection?
Why is it challenging to determine the 'best-fitting' line using visual inspection?
What does the least squares line minimize in the context of regression analysis?
What does the least squares line minimize in the context of regression analysis?
How are the estimated values of β0 and β1 calculated using the least square method?
How are the estimated values of β0 and β1 calculated using the least square method?
What does yb represent in the context of a regression line with equation y = βb1x + βb0?
What does yb represent in the context of a regression line with equation y = βb1x + βb0?
Why do we use scatter diagrams before estimating β0 and β1 for regression analysis?
Why do we use scatter diagrams before estimating β0 and β1 for regression analysis?
