1. Strong Positive Strong Positive Weak Positive Strong Negative
Calculator Models “Pre-covery Packet”
Stat, Edit, Stat, Calc, 4:LinReg, L1, L2
Write the appropriate linear equation to model the data, find the correlation coefficient, and determine strength. Round to nearest hundredth. 1. a)
Year
1990
1991
1992
1993
1994
1995
1996
1997 $
1910
1800
1881
2083
2266
2305
2389
2461
Strong Positive
Strong Positive b) c)
Wt.
17.5
20.0
22.5
25.0
27.5
35.0
Mpg
65.4
49.0
59.2
41.1
38.9
40.7
46.9
27.7
cm3
0.3
0.9
1.1
2.0
3.4
4.8
8.1
10.5
100 km2
233
7985
10161
17042
7900
3978
28389
7646
Weak Positive
Strong Negative

2. In 2003 In 2027 In 2020 In 2033 Calculator Models “Pre-covery Packet”
Use the given regression equation to predict the requested value. Round to nearest whole number. 3.
Based on the given equation, in what year would the median salary for men be expected to equal $27,560. a)
Based on the given equation, in what year would the median salary for women be expected to equal $27,560.
In 2003
In 2027 b)
Based on the given equation, in what year would the median salary for men be expected to equal $37,800. c)
Based on the given equation, in what year would the median salary for women be expected to equal $30,500.
In 2020
In 2033

3. Calculator Models “Pre-covery Packet” Stat, Edit, Stat, Calc
Plot the data to determine if the data represents a quadratic, cubic, or quartic regression. Then, find the appropriate regression equation to model the data, and the corresponding coefficient of determination. Remember, you have to have diagnostics on in order to find this. 4. a)
Quadratic Regression:
Quartic Regression: b) c)
Cubic Regression:
Quartic Regression:

4. Calculator Models “Pre-covery Packet” Stat, Edit, Stat, Calc
Use the given exponential regression equations to predict the requested value. Round final answer to nearest whole number. 5. a)
Find the expected population in 2070.
31.5 (100,000,000)
3,150,000,000
(100,000,000)
4,869,459,027
Notice we plug in numbers based on the form we originally used them in the table. However, we must convert our final answer to what it truly represents. b)
Find the expected population in 2030. c)
Find the expected population in 2010.
(100,000,000)
2,039,129,858
(100,000,000)
1,319,553,394

5. Calculator Models “Pre-covery Packet” Round to the nearest dollar.
Using the number of years after Jan. 1, 1955 as the independent variable, the equation that represents this data is: 7.
How much would have been in the account on Jan. 1, 1965? a)
How much would have been in the account on Jan. 1, 1975? b) c)
How much would have been in the account on Jan. 1, 1985?
How much would have been in the account on Jan. 1, 1995?

6. Calculator Models “Pre-covery Packet” Round to the nearest dollar.
Using the number of years after Jan. 1, 1955 as the independent variable, the equation that represents this data is: 8.
What year will the balance reach $75,000? a)
What year will the balance reach $100,000?
Put the equation in Y1
TABLE (2nd graph)
Scroll to find the “y” value closest to, but not greater than (=68)
Convert this number to the year by adding to 1955.
Year is = 2023
=2028 b) c)
What year will the balance reach $30,000?
What year will the balance reach $50,000?
= 2005
= 2015

7. Calculator Models “Pre-covery Packet” Stat, Edit, Stat, Calc
Find the appropriate exponential regression equation to represent this data. Then, determine whether the data represents an “exponential growth” or “exponential decay” relationship, and explain why. Round equations to nearest thousandth as shown. 9. a)
Let x represent time (s).
37.43
Exponential growth – as hours increase, bacteria increase.
Exponential decay – as time increases, velocity decreases. b) c)
Exponential decay – as time increases, Pb-211 decreases.
Exponential growth – as hours increase, bacteria increase.