1. Warm – Up CALCULATOR ALL DAY Round to 3 decimal places
1. Log(5) =
2. Log(105) =
3. 10Log(5)
4. ln(5) =
5. e5 =
6. ln(e5) =
7. eln(5)=
0.699 5
LOG and 10x are Inverse Functions 5
1.609 5
LN and e are Inverse Functions 5

2. Solving for . Solve each equation for when x = 5.
Linear Model: y = 3.82
Exponential Model: y =
Power Model: y = 50.5
Power Model:
y =

3. Solve each equation for when x = 5.
Reciprocal Model:
y =
(Flip both sides.)
Exponential Model:
(Perform the Inverse Log function of raising both sides as the exponent of base 10.)
y =

4. Solve each equation for when x = 5.
Exponential Model:
(Perform the Inverse Natural Log function of raising both sides as the exponent of base ‘e’ .)
y =

5. Chapter 10 Straightening Relationships
We cannot use a Linear model unless the relationship between the two variables is linear. Often we can re-express or straighten bent relationships so that we can fit and then use a simple linear model.

6. Choosing a Model - Part 1 x y 1 25 2 18 3 14 5 10 6 15 4 20

7. Choosing a Model - Part 1
For Data that produces a curve and has a response variable that is a ratio of two units, such as mpg, mph, GDP, use the Reciprocal Model = take reciprocal of y var.
Take the Reciprocal of all the y’s x y 1 25 2 18 3 14 5 10 6 15 4 20 L1 L2
L3 = 1/y 1 25
.04 2 18
.05556 3 14
.07143 5 10 .1 6
.16667 15 4
.25 20
.33333
LinReg(L1, L3)
R2 = 99.8
LinReg(x, 1/y)

8. PAGE 238 #1,2,3,10(use Reciprocal of y)

10. PAGE 238 #1,2,3,10
Use reciprocal model