For the data set shown below, complete parts (a) through (d) below 13 4 5 7 8 y
ID: 3326964 • Letter: F
Question
For the data set shown below, complete parts (a) through (d) below 13 4 5 7 8 y 5 78 13 15 (a) Find the estimates of Po and 1 Po ~ bo = (Round to three decimal places as needed ) Pr ~ b,- (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 distributed, test Ho 1-0 versus H, 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 0 A Do not reject Ho There is not sufficent evidence at the :0 05 level of significance to conclude that a linear relation exists between x and y O B. Reject Hn. There is sufficient evidence at the a 0.05 level of significance to conclude that a linear relation exists between x and y Click to select your answer(s).Explanation / Answer
Result:
a).
b0 = -1.326
b1= 2.023
b).
se = 0.5134
c).
sb1= 0.124
d). P=0.0005
B. Reject Ho. There is sufficient evidence.
Regression Analysis
r²
0.989
n
5
r
0.994
k
1
Std. Error
0.5134
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
70.4093
1
70.4093
267.14
.0005
Residual
0.7907
3
0.2636
Total
71.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-1.3256
0.7068
-1.876
.1574
-3.5749
0.9237
x
2.0233
0.1238
16.344
.0005
1.6293
2.4172
Regression Analysis
r²
0.989
n
5
r
0.994
k
1
Std. Error
0.5134
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
70.4093
1
70.4093
267.14
.0005
Residual
0.7907
3
0.2636
Total
71.2000
4
Regression output
confidence interval
variables
coefficients
std. error
t (df=3)
p-value
95% lower
95% upper
Intercept
-1.3256
0.7068
-1.876
.1574
-3.5749
0.9237
x
2.0233
0.1238
16.344
.0005
1.6293
2.4172