Linear Approximation

Which of these gives the linear approximation to f(x) centered at x = c?

• L(x) = f'(c) + f(c)(x - c)

• L(x) = f(c) + f'(c)(x - c)

• L(x) = f'(c) + f(c)(x + c)

• L(x) = f(c) - f'(c)(x - c)

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 

• 50 min

• 80 min

• 45 min

• 60 min

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

What type of association (correlation) does this graph have?

• positive

• negative

• none

• all of the above

What type of association does this scatter plot show?

• positive linear association

• negative linear association

• no association

• nonlinear association

• 4.6

• 4.7

• 4.8

• 4.9

• 4.02

• 3.92

• 3.98

• 4.06