In simple linear regression, r 2 is the
_____.
a.
coefficient of determination
b.
coefficient of correlation
c.
estimated regression equation
d.
sum of the squared residuals
QUESTION 3
A least squares regression line ______.
a.
may be used to predict a value of y if the
corresponding x value is given
b.
implies a cause-effect relationship between x and
y
c.
can only be determined if a good linear relationship exists
between x and y
d.
All of the...
Develop a least-squares estimated regression line. Also, compute
the coefficient of determination and explain its meaning.
Price (x)
Units sold (y)
34
4
36
4
32
6
35
5
31
9
38
2
39
1
Develop a least-squares estimated regression line. Also, compute
the coefficient of determination and explain its meaning.
Price (x)
Units sold (y)
34
4
36
4
32
6
35
5
31
9
38
2
39
1
a. Describe what the Pearson correlation coefficient is and what
the coefficient of determination is.
compare it to a real world example or a example problem
1) Do
linear regression (includes line, r-coefficient) for data taken
from a thermocouple during calibration for:
Voltage (Volts)
Temperature (ºC)
0.032
0
0.063
10
0.16
25
0.29
50
0.36
63
0.51
75
0.63
100
1. What is the difference between Pearson’s
correlation coefficient, r, and the coefficient of
determination, r2?
What does each statistic tell us about the relationship between two
variables? What do these statistics NOT tell us about the
relationship between two variables?
If the coefficient of determination is equal to .80, what does
that mean in regards to the two variables being tested?
If the p value is found to be equal to .0001, and we were using .05
significance, what does that indicate?
Discuss an original example of how regression and
correlation analysis could be used by business, education, or the
government.