Interpreting Information from Fitted Lines II
Interactive practice questions
A least squares regression line is given by $y=3.59x+6.72$y=3.59x+6.72.
State the gradient of the line.
Which of the following is true?
The gradient of the line indicates that the bivariate data set has a positive correlation.
The gradient of the line indicates that the bivariate data set has a negative correlation.
Which of the following is true?
If $x$x increases by $1$1 unit, then $y$y increases by $3.59$3.59 units.
If $x$x increases by $1$1 unit, then $y$y decreases by $3.59$3.59 units.
If $x$x increases by $1$1 unit, then $y$y decreases by $6.72$6.72 units.
If $x$x increases by $1$1 unit, then $y$y increases by $6.72$6.72 units.
State the value of the $y$y-intercept.
A least squares regression line is given by $y=-3.67x+8.42$y=−3.67x+8.42.
The following scattergraph shows the value of various $4$4 bedroom, $2$2 bathroom homes in a new suburb.
The price of various second-hand Mitsubishi Lancers are shown below.