Given the data of the dependence of Y on four independent variables, I have run 3 different regression analyses. Determine the listed items.

X1	X2	X3	X4	Y
4	1	1	3	0.73
5	3	1	4	3.2
3	3	3	4	2.68
6	2	1	2	2.17
7	1	4	2	2.4
5	4	1	2	3.74
9	1	3	2	2.93
8	1	2	1	2.04
6	3	5	4	3.44
8	1	2	4	2.43
8	2	3	4	2.63
9	2	4	2	4.11
6	4	3	7	4.65
9	1	4	4	2.63
4	2	5	6	2.29
4	3	2	3	2.71
9	2	2	2	3.26
9	4	4	2	5.48
7	2	5	4	2.94
9	4	4	10	5.9

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.977642097
R Square	0.95578407
Adjusted R Square	0.943993155
Standard Error	0.284748587
Observations	20

ANOVA
	df	SS	MS	F	Significance F
Regression	4	26.29029363	6.572573408	81.06106205	5.7E-10
Residual	15	1.216226368	0.081081758
Total	19	27.50652

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 85.0%	Upper 85.0%
Intercept	-1.67546899	0.298891441	-5.605610458	5.0128E-05	-2.31254	-1.038396963	-2.12895544	-1.221982536
X1	0.332607544	0.034256725	9.709262759	7.35655E-08	0.25959	0.405624025	0.28063228	0.384582805
X2	0.906460659	0.065587491	13.82063324	6.13218E-10	0.76666	1.046257087	0.80694948	1.005971835
X3	0.107717232	0.052864264	2.037619073	0.059628999	-0.00496	0.220394743	0.02751009	0.187924372
X4	0.040484089	0.036951567	1.095598711	0.290534144	-0.03828	0.119244489	-0.01557986	0.096548039

RESIDUAL OUTPUT
Observation	Predicted Y	Residuals	Standard Residuals
1	0.790591342	-0.060591342	-0.239486019
2	2.976604292	0.223395708	0.882966889
3	2.526823669	0.153176331	0.605426261
4	2.321783	-0.151783	-0.599919148
5	2.071081581	0.328918419	1.300043208
6	3.802096773	-0.062096773	-0.245436204
7	2.628579437	0.301420563	1.191358507
8	2.147770572	-0.107770572	-0.425960943
9	3.740080765	-0.300080765	-1.186062982
10	2.269222838	0.160777162	0.635468388
11	3.283400729	-0.653400729	-2.582552791
12	3.642757328	0.467242672	1.846766943
13	4.552559226	0.097440774	0.385132634
14	2.817264847	-0.187264847	-0.740160411
15	2.249373196	0.040626804	0.160576596
16	2.711229892	-0.001229892	-0.004861122
17	3.427322863	-0.167322863	-0.661340136
18	5.455678645	0.024321355	0.096129649
19	3.16622765	-0.22622765	-0.894160081
20	5.779551356	0.120448644	0.476070762

Question:

a) 2 most significant variables (in numerical order)

b) t value of the intercept with 3 variables (0.xxx)

c) Best Lower 85% confidence limit of slope of X3 (x.xx)

d) Lower prediction limit of y at x3=5 (x.xx). Use only that variable, alpha =.03

e) Would you drop any data points? Yes or No

f) What is the percentage of variation of y accounted for by the variable X3?