Is there a relationship between the age of an
employee and the number of sick days they take
each year? Find the following:
Predictor
Constant
Age
Coef
21.100
-0.31654
S = 1.15702
1.
2.
3.
4.
5.
6.
SE Coef
1.408
0.03289
R-Sq = 95.9%
T
14.98
-9.62
P
0.000
0.001
R-Sq(adj) = 94.8%
Find and interpret the slope.
Find and interpret the y-intercept
Find the LSRL.
Find and interpret the correlation coefficient.
Find and interpret the coefficient of determination.
What is the typical deviation from the LSRL?
Predictor
Constant
Age
Coef
21.100
-0.31654
S = 1.15702
SE Coef
1.408
0.03289
R-Sq = 95.9%
T
14.98
-9.62
P
0.000
0.001
R-Sq(adj) = 94.8%
1. Find and interpret the slope.
2. Find and interpret the y-intercept
3. Find the LSRL.
4. Find and interpret the correlation coefficient.
5. Find and interpret the coefficient of determination.
6. What is the typical deviation from the LSRL?
Is there a relationship between a person’s IQ and
his or her grade point average? Find the following:
Predictor
Constant
IQ
Coef
-3.077
0.05659
S = 0.499928
1.
2.
3.
4.
5.
6.
SE Coef
2.933
0.02791
R-Sq = 45.1%
T
-1.05
2.03
P
0.342
0.098
R-Sq(adj) = 34.1%
Find and interpret the slope.
Find and interpret the y-intercept
Find the LSRL.
Find and interpret the correlation coefficient.
Find and interpret the coefficient of determination.
What is the typical deviation from the LSRL?
Predictor
Constant
IQ
Coef
-3.077
0.05659
S = 0.499928
SE Coef
2.933
0.02791
R-Sq = 45.1%
T
-1.05
2.03
P
0.342
0.098
R-Sq(adj) = 34.1%
1. Find and interpret the slope.
2. Find and interpret the y-intercept
3. Find the LSRL.
4. Find and interpret the correlation coefficient.
5. Find and interpret the coefficient of determination.
6. What is the typical deviation from the LSRL?
Nonlinear
Transformations
To straighten out a curve:
Let x = the time between flowering & harvesting and y = the
yield of grain. Linearize it!
X
y
X
y
16
18
20
22
24
26
28
30
2508 2518 3304 3423 3057 3190 3500 3883
32
34
36
38
40
42
44
46
3823 3646 3708 3333 3517 3214 3103 2776
Let x = distance from the highway and y =
lead content of the soil at that point….
X
y
0.3
62.75
1
37.51
5
29.7
10
20.71
15
17.65
20
15.41
X
y
25
14.15
30
13.5
40
12.11
50
11.4
75
10.85
100
10.85
Try it!
Fry Time
5
10
15
Moisture
16.3
9.7
8.1
20
25
30
4.2
3.4
2.9
45
1.9
60
1.3
Predict y for an x = 32
log y  2.1  3.5log x
Homework

Worksheet
Let’s do the M&M’s Lab: