CP ALG II 9/11/14
Regression/Piecewise Practice
1.
Name:___________________
While training for the MS150 bike ride, Mr. Kleinberg uses his new app to record the number of calories
burned after various amounts of time (measured in minutes).
a.
Line l passes through the CENTROID and the point (51, 475) . Find the equation of line l .


b.
Find the linear regression equation that represents this data. Use the correlation coefficient to
discuss the quality of the fit.
c.
How many calories will Mr. Kleinberg burn after riding for one hour?
d.
Find the equation of the line that passes through (30, 336) and is perpendicular to line l .

2.
For each piecewise equation:
a. Graph.
b. State the domain and range using correct interval notation.
c. Determine if the equation is a function.
a.
b.
2x  4 for

y  1
for
2x  2 for

 1

x  4
y  3x

1 x
3
x  1
1  x  2
x 2
for  5  x  3
for  3  x  1
for 1  x  0
for

c.
 1
 3 x  2

f (x)   2x

 1

for
x  3
for  2  x  1
for
x 1

3.
Write the piecewise equation for each graph. State the range and domain.
a.
0 x 3
b.
Assignment: p. 105: 13-19 odd, 20, 24, 25 28, 31,33, 34, 38, 40