Question 9 Construct a 95% confidence interval for the average value of y for th
ID: 3364373 • Letter: Q
Question
Question 9 Construct a 95% confidence interval for the average value of y for the following data 12 21 28 8 20 17 15 19 24 Use x = 25, se = 3.94, and the equation of the regression line, y^=16.5+0.162x (Do not round the intermediate values. Round your answers to 2 decimal places.) 12.55 025) s_ 28.59 Question 10 After a somewhat uncertain start, e-commerce sales in the United States have been growing for the past several years. Shown below are quarterly e-commerce sales figures ($ billions) released by the Census Bureau for the United States over a three- year period. Use these data to determine the equation of a trend line for e-commerce sales during this time and use the trend "model" to forecast e-commerce sales for the third quarter of the year 2013Explanation / Answer
Result:
When x=25, 95% CI for mean y = (12.55, 28.59).
Regression Analysis
r²
0.123
n
5
r
0.351
k
1
Std. Error
3.943
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
6.5601
1
6.5601
0.42
.5623
Residual
46.6399
3
15.5466
Total
53.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
16.5096
4.7862
3.449
.0410
1.2779
31.7414
x
0.1624
0.2500
0.650
.5623
-0.6331
0.9579
Predicted values for: y
95% Confidence Interval
95% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
25
20.569
12.550
28.588
5.678
35.461
0.408
Regression Analysis
r²
0.123
n
5
r
0.351
k
1
Std. Error
3.943
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
6.5601
1
6.5601
0.42
.5623
Residual
46.6399
3
15.5466
Total
53.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
16.5096
4.7862
3.449
.0410
1.2779
31.7414
x
0.1624
0.2500
0.650
.5623
-0.6331
0.9579
Predicted values for: y
95% Confidence Interval
95% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
25
20.569
12.550
28.588
5.678
35.461
0.408
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