e. Use a 99% confidence (Round to three
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Sir pls stepwise and i only need e) part. Pls correct with explanation.
Transcribed Image Text:Statistical software was used to fit the model E(y) = Bo + B₁x₁ + ₂x₂ ton=20 data points. Complete parts a through h.
Click the icon to see the software output.
a. What are the sample estimates of Bo. B₁. and B₂?
Bo = 1924.6
B₁
B₂
=
-856.37
- 130.23
(Type integers or decimals.)
b. What is the least squares prediction equation?
y=(1924.6) + (-856.37) x₁ + (-130.23) x₂
(Type integers or decimals.)
c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.
SSE 1327902
MSE = 78112
Data Table
The regression equation is
Y=1924.6-856.37x₁ - 130.23x₂
Predictor
Constant
X1
X2
Coef SE Coef
265.9
7.24
- 4.06
210.81
194.34 -0.67
1924.6
-856.37
- 130.23
T
s = 279.485 (Type an integer or a decimal.)
Interpret the value of s.
The interval ±2s will provide a rough approximation to the accuracy with which the model will predict future values of
y to within about ±2s=± 558.97.
S=279.485 R-sq = 52.0% R-sq(adj) = 46.0%
Analysis of Variance
Source
DF
SS
MS
F
2
Regression
1,415,698 707,849 9.06
Residual Error 17 1,327,902 78,112
Total
19
2,743,600
Print
P
0.000
0.001
0.512
Done
P
0.002
X
y for given values of x . Thus, it would be expected that the model will provide predictions of
Transcribed Image Text:d. Test Ho: B₁ = 0 against H₂: B₁ #0. Use α = 0.01.
The test statistic is -4.06.
(Type an integer or a decimal.)
The p-value is 0.001.
(Type an integer or a decimal.)
Draw a conclusion. Choose the answer below.
O A. Do not reject the null hypothesis. There is not sufficient evidence to support the alternative hypothesis.
B. Reject the null hypothesis. There is sufficient evidence to support the alternative hypothesis.
C. Reject the null hypothesis. There is not sufficient evidence to support the alternative hypothesis.
D. Do not reject the null hypothesis. There is sufficient evidence to support the alternative hypothesis.
e. Use a 99% confidence interval to estimate ₁.
() (Round to three decimal places as needed.)
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