quiz 6

when a scatter plot is curved like a U is it linear?

the curved pattern in the residuals plot indicates that the linear model is not appropriate. the relationship is not linear.

when a scatter plot is curved like a n is it linear?

the curved pattern in the residuals plot indicates that the linear model is not appropriate. the relationship is not linear.

t or f? we write ^Y to show predicted values and y to denote the observed values.

true

true or false? some of the residuals from a least squares linear model will be positive and some will be negative.

true bc the sum of the residuals for a least square regression equation sum to zero.

t or f? least squares means that some of the squares of the residuals are minimized.

false. least squares means the sum of the squared residuals is minimized because in a least squares regression line, the sum of the squares of the residuals is minimized, not the individual residuals.

what does it mean when something has a negative residual

it means that the something is actually lower than what the model predicts.

what does it mean to have a residual of a value of 105.1?

it means that the town had 105.1 more deaths per 100,000 people than the model predicts.

what would the residuals plot look like if scatterplot is an R

it would loosely follow a curve that is concave down.

when buying a house that is 12004, the person asked to pay for 6000$ less. what is the 6000$ called?

residual

when a scatter plot is straight across horizontally, with a single point outlier is it linear?

the residual plot indicates that most of the data fall roughly along a straight line, with the exception of a single point.

when scatterplots are curved like an R what is the relationship

there is a relationship, but it is not straight.