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Regression Worksheet #1
Algebra 1
OLLCHS
Use your calculator to answer the following questions. Round all answers to the nearest
thousandth unless otherwise specified.
1. Anthropologists use a linear model that relates femur length to height. The model allows an
anthropologist to determine the height of an individual when only a partial skeleton
(including the femur) is found. In this problem we find the model by analyzing the data on
femur length and height for the same eight males given in the table.
a. Find the linear equation that models the data
b. An anthropologist finds a femur of length 58 cm.
How tall was the person?
2. The table shows how wind affects a runner’s performance in the 200 meter dash. Positive
wind speeds correspond to tailwinds and negative winds correspond to headwinds. Positive
changes in finishing time mean worsened performance (your time is slower) and negative
changes means improved performance (your time got faster).
a) Use your calculator to write a quadratic function for the change t, in finishing time as a
function of the wind speed, s.
b) Does it have a maximum or minimum vertex? What does this represent?
OVER   
3. Jean invested $380 in stocks. Over the next 5 years, the value of her investment grew,
as shown in the accompanying table.
a) Write the exponential regression equation for this set of data, rounding all values to
two decimal places.
b) Using this equation, find the value of her stock, to the nearest dollar, 10 years after
her initial purchase.
4. A convenience store manager notices that sales of soft drinks are higher on hotter days, so he
assembles the data in the table below.
a) What type of function would best represent this data?
(hint: you may want to look at the graph of the data)
b) Write an equation for the data based on your answer above.
c) Use the equation to predict soft drink sales if the temperature is 95°F