Question

Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression​ equation, letting the budget be the predictor​ (x) variable. Find the best predicted amount that a movie will gross if its budget is ​$130 million. Use a significance level of alpha equals 0.05 from table = .514.

Budget ($ in millions) 38    26    119    68    78    56   125    69    8    62    122    17    14    152    2

Gross ($ in millions)   109    23    101    65   116   111   98   109   56   109   218   30   17   298   44

The regression equation is y (with caret) ___ + ___x (Round to one decimal place as​ needed.)

The best predicted gross for a movie with a ​$130 million budget is $___ million. ​(Round to one decimal place as​ needed.)

Answer 1

	Budget ( $in millions ) ( X )	Gross ( $in millions )   ( Y )	X * Y	X^2
	38	109	4142	1444
	26	23	598	676
	119	101	12019	14161
	68	65	4420	4624
	78	116	9048	6084
	56	111	6216	3136
	125	98	12250	15625
	69	109	7521	4761
	8	56	448	64
	62	109	6758	3844
	122	218	26596	14884
	17	30	510	289
	14	17	238	196
	152	298	45296	23104
	2	44	88	4
Total	956	1504	136148	92896

Regression equaiton is

Regression equation becomes

The best predicted gross for a movie with a ​$130 million budget