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3.085 Linear regression

Interactive practice questions

The centroid for the data represented below is $\left(18.04,13.02\right)$(18.04,13.02) and the $y$y-intercept is an integer.

Find the equation of the least squares regression line. Give your answer in the form $y=ax+b$y=ax+b, where $a$a and $b$b are rounded to two decimal places if necessary. Use $a$a to represent the gradient in your working out if necessary.

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Medium
3min

The centroid for the data represented below is $\left(4.7,5.9\right)$(4.7,5.9) and the $y$y-intercept is an integer.

Find the equation of the least squares regression line. Give your answer in the form $y=ax+b$y=ax+b. Use $a$a to represent the gradient in your working out if necessary.

Medium
2min

The least squares regression line is given by $y=a+bx$y=a+bx. An $x$x-value of $5$5 gives a predicted value of $y=9$y=9, and an $x$x-value of $8$8 gives a predicted value of $y=3$y=3.

Find the equation of the least squares regression line.

Medium
4min

The least squares regression line is given by $y=a+bx$y=a+bx. An $x$x-value of $4$4 gives a predicted value of $y=3$y=3, and an $x$x-value of $6$6 gives a predicted value of $y=7$y=7.

Find the equation of the least squares regression line.

Medium
1min
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Outcomes

MA12-8

solves problems using appropriate statistical processes

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