If Xbar-Ybar=abar,Xbar cross Ybar=bbar and Ybar dot abar=1,then Xbar=? and Ybar=?
Answers
Answer:
Y X Y-Ybar X-Xbar (Y-Ybar)^2 (X-Xbar)^2 (X-Xbar)(Y-Ybar)
xxxxx 164.66667 xxxxx -22.2 0.103 494 xxxxx
xxxxx 205.66667 xxxxx 18.8 0.078 353 xxxxx
xxxxx 181.33333 xxxxx -5.6 0.271 31 xxxxx
xxxxx 184.66667 xxxxx -2.2 0.848 5 xxxxx
xxxxx 169 xxxxx -17.9 6.355 320 xxxxx
xxxxx 190.33333 xxxxx 3.4 0.520 12 xxxxx
xxxxx 241.66667 xxxxx 54.8 5.195 3001 xxxxx
xxxxx 191 xxxxx 4.1 0.271 17 xxxxx
xxxxx 147.33333 xxxxx -39.6 1.490 1565 xxxxx
xxxxx 225.66667 xxxxx 38.8 2.820 1504 xxxxx
xxxxx 209.66667 xxxxx 22.8 0.015 519 xxxxx
xxxxx 124.66667 xxxxx -62.2 0.461 3872 xxxxx
xxxxx 171.66667 xxxxx -15.2 0.773 232 xxxxx
xxxxx 195 xxxxx 8.1 2.820 66 xxxxx
xxxxx 165.33333 xxxxx -21.6 1.636 465 xxxxx
xxxxx 216.33333 xxxxx 29.4 0.230 867 xxxxx
xxxxx 203.33333 xxxxx 16.4 0.773 270 xxxxx
xxxxx 177.33333 xxxxx -9.6 0.103 91 xxxxx
xxxxx 178.66667 xxxxx -8.2 3.690 68 xxxxx
xxxxx 176 xxxxx -10.9 0.006 119 xxxxx
xxxxx 217 xxxxx 30.1 0.230 907 xxxxx
xxxxx 194 xxxxx 7.1 0.006 51 xxxxx
xxxxx 157.33333 xxxxx -29.6 4.498 874 xxxxx
xxxxx 197.66667 xxxxx 10.8 0.230 116 xxxxx
180.5 4485.333 33.42 15814.37 353.09
A)
In a single variable regression of Y on X, what is the value of bHat1-1.gif?
.022
.018
.024
.027
.030
B)
In a single variable regression of Y on X, what is the value of bHatZero.gif?
2.81
2.35
3.35
3.03
2.60
C)
What is the value of R2? (Hint: find SSR (Regression Sum of Squares) using the version of the formula with bHat1-1.gif in it. (You did this in a practice exercise.) Also, what is SST? (It is on the table.)
.224
.252
.219
.211
.236
D)
What is the value of SSE (Sum of Square Errors)?
28.04
25.54
26.43
26.86
27.93
E)
What is the value of the variance of the sample regression Se2? (Hint: What is the regression d.f.?)
1.34
1.47
1.04
1.55
1.16
F)
What is the standard deviation of bHat1-1.gif?
.0076
.0122
.0086
.0091
.0045
G)
If the null hypothesis is that bHat1-1.gif=.0020, what is the test statistic of the regression?
2.45
2.37
2.15
2.20
2.53
H)
If you were to do a two-sided t-test, what are the critical t-values for α=.02?
±2.500
±2.818
±2.508
±2.069
±2.074
I)
Based on the above regression of this data, what is the unbiased estimator of Y when X is 225?
8.91
9.66
9.33
8.37
8.45
J)
Suppose, instead of X, a regression was performed on the explanatory variable Z=2*X. The new value of bHat1-1.gif would be ____ times as large as the original.
.02
50
1
200
.50
Please show all work and complete all parts. This constitutes one question. Thank you.