For the data set shown below, complete parts (a) through (d) below x 3 4 5 7 80
ID: 3371823 • Letter: F
Question
For the data set shown below, complete parts (a) through (d) below x 3 4 5 7 80 y4 6 8 11 1 (a) Find the estimates of Po and p o(Round to three decimal places as needed.) ?, ~ b1-O (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for ? (Round to four decimal places as needed.) (e) Assuming the residuals are normally distributed, determine s Round to three decimal places as needed.) d) Assuming the residuals are normally dist tu ted, test Ho: ??-? versus H1 : ?1-0 at the ?-0.05 level of significance. Use the P-value approach. The P-value for this test is (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test Choose the correct answer below ?A. Reject Ho . There is sufficient evidence at the ?-0?5 lovel of significance to conclude that a linear relation exists between x and y O B. Raiet Ho There is not sufeient evidence at the ?-0.05 level of significance to conclude that a linear relation exists between x and y. ??. bo not reject Ho There is not sumo ent evidence at the ? "O05level of sigh cance to conclude that a inear relation exists between x and 00, Donot reject Ho . There is sufficient evidence at the ?-006 level of significance to conclude that a linear relation exists between x andExplanation / Answer
Result:
a).
bo = -1.698
b1 = 1.907
b).
se = 0.4659
c).
sb1= 0.112
d).
P=0.000
A.Reject Ho. There is sufficient evidence.
Regression Analysis
r²
0.9897
n
5
r
0.9948
k
1
Std. Error
0.4659
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
62.5488
1
62.5488
288.17
.0004
Residual
0.6512
3
0.2171
Total
63.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-1.6977
0.6414
-2.647
.0772
-3.7389
0.3435
x
1.9070
0.1123
16.976
.0004
1.5495
2.2645
Regression Analysis
r²
0.9897
n
5
r
0.9948
k
1
Std. Error
0.4659
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
62.5488
1
62.5488
288.17
.0004
Residual
0.6512
3
0.2171
Total
63.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-1.6977
0.6414
-2.647
.0772
-3.7389
0.3435
x
1.9070
0.1123
16.976
.0004
1.5495
2.2645