Question

In: Statistics and Probability

Use the following pairs of observations to construct an​ 80% and a​ 98% confidence interval for  β1....

Use the following pairs of observations to construct an​ 80% and a​ 98% confidence interval for  β1.

x

11

55

33

00

44

22

66

y

11

66

44

22

33

33

77

The​ 80% confidence interval is (______) ​(Round to two decimal places as​ needed.)

The​ 98% confidence interval is (______) ​(Round to two decimal places as​ needed.)

Solutions

Expert Solution

For the given data using Regression in Excel we get output as :

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.902109796
R Square 0.813802083
Adjusted R Square 0.7765625
Standard Error 1.010657495
Observations 7
ANOVA
df SS MS F Significance F
Regression 1 22.32142857 22.32143 21.85315 0.005459317
Residual 5 5.107142857 1.021429
Total 6 27.42857143
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 1.035714286 0.688647002 1.503984 0.192914 -0.734509189 2.805937761
X Variable 1 0.892857143 0.190996314 4.674735 0.005459 0.401885488 1.383828797

orchestra answered 2 years ago
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