8.04 Fitting functions to data
Interactive practice questions
Consider the data shown in the table.
| $x$x | $7$7 | $12$12 | $17$17 | $22$22 | $27$27 | $32$32 | $37$37 |
|---|---|---|---|---|---|---|---|
| $y$y | $29$29 | $28$28 | $27$27 | $31$31 | $15$15 | $14$14 | $3$3 |
Create a scatter plot for the data set.
Some different linear functions are plotted alongside the data points.
Which of the following functions best fits that data?
Using the line of best fit found in the previous part, which of the following $y$y-values is most reasonable to expect when $x=23$x=23?
$y=25$y=25
$y=15$y=15
$y=10$y=10
$y=20$y=20
Consider the data shown in the table.
A computer program compares and orders the marks of all students who sit an exam. The time taken ($T$T, in milliseconds) for the program to completely order all students ($n$n) is plotted for different numbers of students.
The scatter plot below shows the altitude and average annual temperature of ten randomly selected locations on Earth.