8. Two Variable Data Analysis

Consider the following set of data.

The equation of the least squares line fitted to this data is approximately $y=3.15-0.18x$`y`=3.15−0.18`x`.

$x$x |
$0.8$0.8 | $1.77$1.77 | $2.7$2.7 | $3.62$3.62 | $4.9$4.9 | $5.7$5.7 | $7$7 | $8.6$8.6 | $10.1$10.1 |
---|---|---|---|---|---|---|---|---|---|

$y$y |
$3.4$3.4 | $2.9$2.9 | $2.5$2.5 | $2.4$2.4 | $1.9$1.9 | $1.9$1.9 | $1.8$1.8 | $1.7$1.7 | $1.54$1.54 |

a

Predict the value of $y$`y` when $x=3$`x`=3 using the least square line.

b

Is this an interpolation or extrapolation?

Interpolation

A

Extrapolation

B

Interpolation

A

Extrapolation

B

Easy

Approx a minute

Sign up to try all questions

Create a scatter plot to represent the relationship between two variables, determine the correlation between these variables by testing different regression models using technology, and use a model to make predictions when appropriate.

Describe the value of mathematical modelling and how it is used in real life to inform decisions.