8.06 Making predictions
Interactive practice questions
Scientists conducted a study to see people's reaction times after they've had different amounts of sleep.
The data is presented below with a line of best fit.
| Number of hours of sleep ($x$x) | $1.1$1.1 | $1.5$1.5 | $2.1$2.1 | $2.5$2.5 | $3.5$3.5 | $4$4 |
|---|---|---|---|---|---|---|
| Reaction time in seconds ($y$y) | $4.66$4.66 | $4.1$4.1 | $4.66$4.66 | $3.7$3.7 | $3.6$3.6 | $3.4$3.4 |
What would be the reaction time for someone who has slept $5$5 hours?
Predict the number of hours someone sleeps if they have a reaction time of $4$4 seconds.
Chirping crickets can be an excellent indication on how hot or cool it is outside. Different species of crickets have different chirping rates but for a particular species the following data was recorded.
A bivariate data set has a line of best fit with equation $y=8.84x$y=8.84x.
Use this equation to calculate the value of $y$y when $x=7.68$x=7.68.
A bivariate data set has a line of best fit with equation $y=-8.71x+6.79$y=−8.71x+6.79.
Predict the value of $y$y when $x=3.49$x=3.49.