Hello, I am working on the following problem. I cannot figure out the correct an
ID: 3222801 • Letter: H
Question
Hello,
I am working on the following problem. I cannot figure out the correct answer for g and h. Can you please help? The data set is at the bottom of question.
The Florida ecosystem is heavily reliant on wet and dry seasons, and is particularly dependent on the winter and spring rainfall that helps reduce damage due to wildfires. Data file XR15013 lists the number of acres burned and the number of inches of rainfall during January–May for 1988–2000. Determine the linear regression equation describing January–May burned acreage in Florida as a function of January–May rainfall in the state, then identify and interpret the slope, the coefficient of correlation, and the coefficient of determination. At the 0.10 level of significance, could the population slope and the population coefficient of correlation be zero? Determine the 90% confidence interval for the population slope.
a. The estimated intercept is 349550
b. The estimated slope is -7851.5
c. The coefficient of correlation is .2323
d. The coefficient of determination is 0.054
e. The p-value for the test of wheter the population slope is zero is 0.445
f. Based on the p-value in (e), at the .10 level we can reject the null hypothesis that he population slope is zero. FALSE
g. The lower bound of the 90% confidence interval for the population slope is?
h. The upper bound of the 90% confidence internal for the population slope is?
Below is data from xr15013:
Year AcresBurned RainInches 1988 193881 17.51 1989 645331 12.06 1990 249912 14.03 1991 86948 30.11 1992 82230 16.03 1993 80484 19.61 1994 180048 18.15 1995 45586 16.34 1996 93849 20.43 1997 146122 18.46 1998 506970 22.24 1999 340124 12.70 2000 118860 8.25Explanation / Answer
Answer:
The Florida ecosystem is heavily reliant on wet and dry seasons, and is particularly dependent on the winter and spring rainfall that helps reduce damage due to wildfires. Data file XR15013 lists the number of acres burned and the number of inches of rainfall during January–May for 1988–2000. Determine the linear regression equation describing January–May burned acreage in Florida as a function of January–May rainfall in the state, then identify and interpret the slope, the coefficient of correlation, and the coefficient of determination. At the 0.10 level of significance, could the population slope and the population coefficient of correlation be zero? Determine the 90% confidence interval for the population slope.
a. The estimated intercept is 349550
b. The estimated slope is -7851.5
c. The coefficient of correlation is .2325
d. The coefficient of determination is 0.054
e. The p-value for the test of whether the population slope is zero is 0.445
f. Based on the p-value in (e), at the .10 level we can reject the null hypothesis that he population slope is zero. FALSE
g. The lower bound of the 90% confidence interval for the population slope is? -25634.7
h. The upper bound of the 90% confidence internal for the population slope is? 9931.7
Regression Analysis
r²
0.054
n
13
r
-0.2325
k
1
Std. Error
185097.702
Dep. Var.
AcresBurned
ANOVA table
Source
SS
df
MS
F
p-value
Regression
21,539,746,092.4841
1
21,539,746,092.4841
0.63
.4446
Residual
376,872,751,338.7470
11
34,261,159,212.6133
Total
398,412,497,431.2310
12
Regression output
confidence interval
variables
coefficients
std. error
t (df=11)
p-value
90% lower
90% upper
Intercept
349,549.9865
179,579.3648
1.946
.0776
27,046.1314
672,053.8415
RainInches
-7,851.4732
9,902.2045
-0.793
.4446
-25,634.6918
9,931.7455
Regression Analysis
r²
0.054
n
13
r
-0.2325
k
1
Std. Error
185097.702
Dep. Var.
AcresBurned
ANOVA table
Source
SS
df
MS
F
p-value
Regression
21,539,746,092.4841
1
21,539,746,092.4841
0.63
.4446
Residual
376,872,751,338.7470
11
34,261,159,212.6133
Total
398,412,497,431.2310
12
Regression output
confidence interval
variables
coefficients
std. error
t (df=11)
p-value
90% lower
90% upper
Intercept
349,549.9865
179,579.3648
1.946
.0776
27,046.1314
672,053.8415
RainInches
-7,851.4732
9,902.2045
-0.793
.4446
-25,634.6918
9,931.7455
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.