Use the dataset "Exercise". This dataset relates to aerobatic exercises. It was measured by the ability to consume oxygen. The reason for their investigation was in order to develop an equation to predict fitness based on the exercise tests rather than excessive and expensive tests.

1. Construct a multiple regression model, include all the predictor variables and provide the estimated multiple regression equation and interpret the R-Square statistic.
2. Create the code to conduct a constancy of error variance (Breusch Pagan) using Oxygen as your Y variable and the rest of the variables as your independent variables.
3. Discuss the results of the Homoscedascity Test using the appropriate hypothesis and provide a conclusion based on error variance.

Dataset "Exercise" (provided below)

Variables	Description
X1	age in years
X7	maximum heart rate
Y	oxygen consumption
X5	heart rate while resting
X6	heart rate while running
X4	minutes to run 1.5 miles
X2	weight in kg

X1	X2	Y	X4	X5	X6	X7
44	89.47	44.609	11.37	62	178	182
40	75.07	45.313	10.07	62	185	185
44	85.84	54.297	8.65	45	156	168
42	68.15	59.571	8.17	40	166	172
38	89.02	49.874	9.22	55	178	180
47	77.45	44.811	11.63	58	176	176
40	75.98	45.681	11.95	70	176	180
43	81.19	49.091	10.85	64	162	170
44	81.42	39.442	13.08	63	174	176
38	81.87	60.055	8.63	48	170	186
44	73.03	50.541	10.13	45	168	168
45	87.66	37.388	14.03	56	186	192
45	66.45	44.754	11.12	51	176	176
47	79.15	47.273	10.6	47	162	164
54	83.12	51.855	10.33	50	166	170
49	81.42	49.156	8.95	44	180	185
51	69.63	40.836	10.95	57	168	172
51	77.91	46.672	10	48	162	168
48	91.63	46.774	10.25	48	162	164
49	73.37	50.388	10.08	67	168	168
57	73.37	39.407	12.63	58	174	176
54	79.38	46.08	11.17	62	156	165
52	76.32	45.441	9.63	48	164	166
50	70.87	54.625	8.92	48	146	155
51	67.25	45.118	11.08	48	172	172
54	91.63	39.203	12.88	44	168	172
51	73.71	45.79	10.47	59	186	188
57	59.08	50.545	9.93	49	148	155
49	76.32	48.673	9.4	56	186	188
48	61.24	47.92	11.5	52	170	176
52	82.78	47.467	10.5	53	170	172