You wish to explore the relationship between two variables, X and Y, for 17 pati
ID: 3363876 • Letter: Y
Question
You wish to explore the relationship between two variables, X and Y, for 17 patients for purposes of predicting the value of Y, given the value of X. In order (from patient 1 through patient 17), their corresponding values for X are: 9, 15, 10, 16, 10, 20, 11, 20, 15, 15, 8, 13, 18, 10, 8, 10, 16 and the matching (corresponding) values of Y: 45, 57, 45, 51, 65, 88, 44, 87, 89, 59, 66, 65, 56, 47, 66, 41, 56. Given this information, calculate the upper bound of the confidence interval of the slope, assuming an alpha of 0.01.
Explanation / Answer
Result:
You wish to explore the relationship between two variables, X and Y, for 17 patients for purposes of predicting the value of Y, given the value of X. In order (from patient 1 through patient 17), their corresponding values for X are: 9, 15, 10, 16, 10, 20, 11, 20, 15, 15, 8, 13, 18, 10, 8, 10, 16 and the matching (corresponding) values of Y: 45, 57, 45, 51, 65, 88, 44, 87, 89, 59, 66, 65, 56, 47, 66, 41, 56. Given this information, calculate the upper bound of the confidence interval of the slope, assuming an alpha of 0.01.
99% upper bound of the confidence interval of the slope = 4.5357
Regression Analysis
r²
0.287
n
17
r
0.535
k
1
Std. Error
13.501
Dep. Var.
Y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
1,098.1452
1
1,098.1452
6.02
.0268
Residual
2,733.9725
15
182.2648
Total
3,832.1176
16
Regression output
confidence interval
variables
coefficients
std. error
t (df=15)
p-value
99% lower
99% upper
Intercept
33.2522
11.5392
2.882
.0114
-0.7504
67.2547
X
2.0612
0.8397
2.455
.0268
-0.4133
4.5357
Regression Analysis
r²
0.287
n
17
r
0.535
k
1
Std. Error
13.501
Dep. Var.
Y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
1,098.1452
1
1,098.1452
6.02
.0268
Residual
2,733.9725
15
182.2648
Total
3,832.1176
16
Regression output
confidence interval
variables
coefficients
std. error
t (df=15)
p-value
99% lower
99% upper
Intercept
33.2522
11.5392
2.882
.0114
-0.7504
67.2547
X
2.0612
0.8397
2.455
.0268
-0.4133
4.5357
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