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Name: _____________________________
Date: _____________
Mr. Nickels
Math 3C
Regressions HW
1) A real estate agent plans to compare the price of a cottage, y, in a town on the seashore to
the number of blocks, x, the cottage is from the beach. The accompanying table shows a
random sample of sales and location data.
A. Write a linear regression equation that relates the price of a cottage to its distance
from the beach.
B. Use the equation to predict the price of a cottage, to the nearest dollar, located three
blocks from the beach.
2) 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.
3) Which scatter diagram shows the strongest positive correlation?
4) A box containing 1,000 coins is shaken, and the coins are emptied onto a table. Only the
coins that land heads up are returned to the box, and then the process is repeated. The
accompanying table shows the number of trials and the number of coins returned to the
box after each trial.
A. Write an exponential regression equation, rounding the calculated values to the
nearest ten-thousandth.
B. Use the equation to predict how many coins would be returned to the box after the
eighth trial.
5) The relationship of a woman’s shoe size and length of a woman’s foot, in inches, is given in the
accompanying table.
The linear correlation coefficient for this relationship is
(1) 1
(3) 0.5
(2) –1
(4) 0
6) Which graph represents data used in a linear regression that produces a correlation coefficient
closest to –1?
7) What could be the approximate value of the correlation coefficient for the accompanying
scatter plot?
(1) -0.85
(2) -0.16
(3) 0.21
(4)0.90
8) The table below shows the results of an experiment involving the growth of bacteria.
A. Write a power regression equation for this set of data, rounding all values to three decimal
places.
B. Using this equation, predict the bacteria’s growth, to the nearest integer, after 15 minutes.
9) The accompanying table shows the number of new cases reported by the Nassau and
Suffolk County Police Crime Stoppers program for the years 2000 through 2002.
A. If x  1 represents the year 2000, and y represents the number of new cases, find the
equation of best fit using a power regression, rounding all values to the nearest
thousandth.
B. Using this equation, find the estimated number of new cases, to the nearest whole
number, for the year 2007.
C. Using this equation, find the estimated number of new cases, to the nearest whole
number, for the year 2014.
10) The accompanying table shows wind speed and the corresponding wind chill factor when the air
temperature is 10ºF.
A. Write the logarithmic regression equation for this set of data, rounding coefficients to the nearest
ten thousandth.
B. Using this equation, find the wind chill factor, to the nearest degree, when the wind speed is 50
miles per hour.
C. Based on your equation, if the wind chill factor is 0, what is the wind speed, to the nearest mile
per hour?