For the data set shown below, complete parts a) through d) below. x....3, 4, 5,
ID: 3228226 • Letter: F
Question
For the data set shown below, complete parts a) through d) below. x....3, 4, 5, 7, 8 y.....4, 5, 6, 13, 14a) Find the estimates of P0 and P1.
P0 = b0 =________
P1 = b1 =________
b) compute the standard error, the point estimate for the variance.
se =_______
c) assuming the residuals are normally distributed, determine sb1.
sb1 =_______
d) Assuming the residuals are normally distributed, test HO : P1 = 0 versus H1: P1 (not equal to) 0 at the a = 0.05 level of significance use the P-value approach.
The P-value for this test is_______ For the data set shown below, complete parts a) through d) below. x....3, 4, 5, 7, 8 y.....4, 5, 6, 13, 14
a) Find the estimates of P0 and P1.
P0 = b0 =________
P1 = b1 =________
b) compute the standard error, the point estimate for the variance.
se =_______
c) assuming the residuals are normally distributed, determine sb1.
sb1 =_______
d) Assuming the residuals are normally distributed, test HO : P1 = 0 versus H1: P1 (not equal to) 0 at the a = 0.05 level of significance use the P-value approach.
The P-value for this test is_______ x....3, 4, 5, 7, 8 y.....4, 5, 6, 13, 14
a) Find the estimates of P0 and P1.
P0 = b0 =________
P1 = b1 =________
b) compute the standard error, the point estimate for the variance.
se =_______
c) assuming the residuals are normally distributed, determine sb1.
sb1 =_______
d) Assuming the residuals are normally distributed, test HO : P1 = 0 versus H1: P1 (not equal to) 0 at the a = 0.05 level of significance use the P-value approach.
The P-value for this test is_______
Explanation / Answer
Answer:
a) Find the estimates of P0 and P1.
P0 = b0 = -3.5930
P1 = b1 = 2.2209
b) compute the standard error, the point estimate for the variance.
se = 1.206
c) assuming the residuals are normally distributed, determine sb1.
sb1 = 0.2907
d) Assuming the residuals are normally distributed, test HO : P1 = 0 versus H1: P1 (not equal to) 0 at the a = 0.05 level of significance use the P-value approach.
The P-value for this test is 0.0047
Since calculated P=0.0047 < 0.05 level, Ho is rejected.
Regression Analysis
r²
0.951
n
5
r
0.975
k
1
Std. Error
1.206
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
84.8395
1
84.8395
58.37
.0047
Residual
4.3605
3
1.4535
Total
89.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-3.5930
1.6598
-2.165
.1190
-8.8752
1.6891
x
2.2209
0.2907
7.640
.0047
1.2958
3.1461
Regression Analysis
r²
0.951
n
5
r
0.975
k
1
Std. Error
1.206
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
84.8395
1
84.8395
58.37
.0047
Residual
4.3605
3
1.4535
Total
89.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-3.5930
1.6598
-2.165
.1190
-8.8752
1.6891
x
2.2209
0.2907
7.640
.0047
1.2958
3.1461