0.933 Previous Answers trostal8 10 JE 032. My Notes The index of biotic integrit
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0.933 Previous Answers trostal8 10 JE 032. My Notes The index of biotic integrity (IBI) is a measure of the water quality in streams. IBI and land-use measures for a collection of streams in the Ozark Highland ecoregion of Arkansas were collected as part of a study. The data data226.dat gives the data for IBI and the area of the watershed in square kilometers for streams in the original sample with area less than or equal to 70km (a) Use numerical and graphical methods to describe the variable IB Do the same for area. (Round your answers for X to two decimal places and your answers for s to three decimal places b) Run the simple linear regression and summarize the results, (Let x- area and y BI, Round your slope, intercept, and rto three decimal places. Round Fto two decimal places and your P-value to four decimal places.Explanation / Answer
Answer:
a).
IBI
Mean=62.08 sd=20.184
Area
Mean=28.29 sd=17.714
b).
y=49.087+0.459*x
F=9.12
P=0.0041
r=0.403
Regression Analysis
r²
0.163
n
49
r
0.403
k
1
Std. Error
18.666
Dep. Var.
ibi
ANOVA table
Source
SS
df
MS
F
p-value
Regression
3,179.1544
1
3,179.1544
9.12
.0041
Residual
16,376.5191
47
348.4366
Total
19,555.6735
48
Regression output
confidence interval
variables
coefficients
std. error
t (df=47)
p-value
95% lower
95% upper
Intercept
49.0865
5.0616
9.698
8.54E-13
38.9039
59.2691
area
0.4594
0.1521
3.021
.0041
0.1534
0.7654
Regression Analysis
r²
0.163
n
49
r
0.403
k
1
Std. Error
18.666
Dep. Var.
ibi
ANOVA table
Source
SS
df
MS
F
p-value
Regression
3,179.1544
1
3,179.1544
9.12
.0041
Residual
16,376.5191
47
348.4366
Total
19,555.6735
48
Regression output
confidence interval
variables
coefficients
std. error
t (df=47)
p-value
95% lower
95% upper
Intercept
49.0865
5.0616
9.698
8.54E-13
38.9039
59.2691
area
0.4594
0.1521
3.021
.0041
0.1534
0.7654
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