Construct a 95% confidence interval for the slope with the dataset below: X Y 12 100 13 110 14 120 15 115 16 145 17 189 18 167 Select one: a. upper = 12.56, lower = 5.87 b. upper = 15.78, lower = 6.21 c. upper = 20.32, lower = 7.11 d. upper = 21.32, lower = 8.23
x | y |
12 | 100 |
13 | 110 |
14 | 120 |
15 | 115 |
16 | 145 |
17 | 189 |
18 | 167 |
SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.90 | |||||
R Square | 0.81 | |||||
Adjusted R Square | 0.77 | |||||
Standard Error | 15.80 | |||||
Observations | 7 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 5266.29 | 5266.29 | 21.09 | 0.01 | |
Residual | 5 | 1248.57 | 249.71 | |||
Total | 6 | 6514.86 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | -70.57 | 45.19 | -1.56 | 0.18 | -186.74 | 45.60 |
x | 13.71 | 2.99 | 4.59 | 0.01 | 6.04 | 21.39 |
95% confidence interval
(6.04,21.39)
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