1. Use the Reciprocal Model to find the regression line equation.
WARM - UP
Quantity
Price Per Jersey 2
$ 44 4 28 6 21 10 13 16 9 24
A sportswear distributor sells sport jerseys at a discount if you buy in bulk.
Use the Reciprocal Model to find the regression line equation.
Predict the cost of one Jersey.
Predict the cost of 70 Jerseys.

2. A YouTuber posted a new video online and wanted to know how many “views” it will get in 30 days.
# of Days Posted
# of Views 1 3 4
160 6
540 7
861 14
6860 21
23153
POWER FUNCTION
So, Take the LOG of Both the x and y variables and perform a Regression LinReg (L3=LOG(x) , L4=LOG(y)).
When x = 30 ŷ =

3. During a chemistry lab, students were asked to study a radioactive element which decays over time. The results are in the table.
Time (in days)
Element (in grams)
Use an equation to Model the remaining mass of the element.
b. Find the predicted amount of the element remaining after thirty days.
Log(Element) = – (Time)
(Element) = ·10–0.0749(Time)
Element = (319.89)(0.8416) time
Element = (319.89)(0.8416) 30 = grams

4. HW PAGE 241: 13, 25, 11

6. Use 2 digits for the year… 1980 = 80

7. #11 POWER FUNCTION When x = 4200 ŷ = 303.7446
So, Take the LOG of Both the x and y variables and perform a Regression LinReg (L3=LOG(x) , L4=LOG(y)).
Planet
Distance from the Sun (Mill. Miles)
Length of Year (Earth Years)
Mercury 36
.24
Venus 67
.61
Earth 93 1
Mars
142
1.88
Jupiter
484
11.86
Saturn
887
29.46
Uranus
1784
84.07
Neptune
2796
164.82
Pluto
3666
247.68
When x = ŷ =

8. b. Find the movie ticket price this model predicts for 2004.
Year Ticket $
1948 $0.36
1954 $0.49
1958 $0.68
1963 $0.86
1967 $1.22
1971 $1.65
1974 $1.89
1974 $2.03
1976 $2.13
1977 $2.23
1978 $2.34
1979 $2.47
1980 $2.69
1981 $2.78
1982 $2.94
1983 $3.15
1984 $3.36
1985 $3.55
1986 $3.71
1987 $3.91
1988 $4.11
1. The average movie ticket prices in selected years since are listed in the table to the right.
a. Use re-expressed data to create a model that predicts ticket prices.
Let L1= x = (Year – 1900)
b. Find the movie ticket price this model predicts for 2004.

9. a.) Let explanatory variable be Year – 1900; so,
1948 is input as 48.
Let response variable be log(Ticket Price)
Exponential Logarithmic model:
log(Ticket)= − (Year −1900)
10log(Ticket)= 10−1.73 ∙ (Year −1900)
Ticket= ∙1.0639(Year-1900)
b.) Ticket= ∙1.0639( ) = 11.68