Correlation and Regression 2

Front

What is an influential observation in a dataset?

Back

An influential observation is an outlier in the x direction that can significantly affect the slope of the regression line.

Front

What is a residual in regression analysis?

Back

A residual is the difference between the observed y-value and the predicted y-value in a linear regression model.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no correlation between the variables.

Front

What does a positive association in a scatter plot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

Front

Estimate the correlation coefficient for a scatterplot with a strong negative trend.

Back

r = -0.9 indicates a strong negative correlation.

Front

What is the purpose of a least squares regression line (LSRL)?

Back

The LSRL minimizes the sum of the squares of the residuals, providing the best fit line for the data.

Front

What does a negative correlation coefficient signify?

Back

A negative correlation coefficient signifies that as one variable increases, the other variable tends to decrease.

Front

How can outliers affect the correlation coefficient?

Back

Outliers can skew the correlation coefficient, making it misleading about the strength of the relationship between variables.

Front

What is the range of possible values for a correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does it mean if a scatter plot shows no clear pattern?

Back

It means there is no correlation between the variables.