{"text_format":"3","workbook":"xlsx","n_sheets":3,"sheets":["1 var","2 var","matrix"],"not_rendered":{"images":6},"read":"whole","date_system":"1900"}

{"sheet":"1 var","index":0,"n_rows":15,"n_cols":7,"rows_kept":15}
["t","Expences (Y)","Earnings (X)","Yi-𝑌 ̅","Xi-X ̅","(Yi-𝑌 ̅)*(Xi-X ̅)","(Xi-X ̅)^2"]
[1,{"v":2300,"d":"2,300.00"},{"v":2600,"d":"2,600.00"}]
[2,{"v":1800,"d":"1,800.00"},{"v":2400,"d":"2,400.00"}]
[3,{"v":2400,"d":"2,400.00"},{"v":2900,"d":"2,900.00"}]
[4,{"v":2300,"d":"2,300.00"},{"v":2800,"d":"2,800.00"}]
[5,{"v":2800,"d":"2,800.00"},{"v":3000,"d":"3,000.00"}]
[6,{"v":2000,"d":"2,000.00"},{"v":2500,"d":"2,500.00"}]
[7,{"v":2100,"d":"2,100.00"},{"v":2700,"d":"2,700.00"}]
["Sum",{"$nulls":4},{"$f":"SUM(F2:F8)","v":0},{"$f":"SUM(G2:G8)","v":0}]
["mean"]
[]
[{"$nulls":5},"a1"]
[{"$nulls":5},"a0"]
[]
[{"$nulls":5},"Yi="]

{"sheet":"2 var","index":1,"n_rows":21,"n_cols":15,"rows_kept":21}
[{"$nulls":4},"1","2",null,"3"]
["t","yi","x1i","x2i","X1i-X1sr","yi-ysr","1*2","x2i-x2sr","(x2i-x2sr)^2","(3)*(2)","(X1i-X1sr)*(X2i-X2sr)","(X1i-X1sr)^2"]
[1,10,2,1]
[2,12,1,1]
[3,13,2,2]
[4,15,1,3]
[5,20,4,3]
["Sum",{"$f":"SUM(B3:B7)","v":70},{"$f":"SUM(C3:C7)","v":10},10,0,0,0,0,0,0,0,0]
["Mean"]
[]
[]
[]
[{"$nulls":13},"b1","b2"]
[{"$nulls":12},"(1)"]
[{"$nulls":12},"(2)"]
[{"$nulls":12},"(3)"]
[{"$nulls":12},"(4)"]
[]
[{"$nulls":12},"b1"]
[{"$nulls":12},"b2"]
[{"$nulls":12},"b0"]

{"sheet":"matrix","index":2,"n_rows":33,"n_cols":8,"rows_kept":33}
[null,1,2,3,4]
[null,"Y","X","X1","X2"]
[1,10,1,2,1,null,"1. ","XT (transposed matrix)"]
[2,12,1,1,1]
[3,13,1,2,2]
[4,15,1,1,3]
[5,20,1,4,3]
[]
[]
[]
[{"$nulls":6},"2.","XT*X (matrix multiplication)"]
[]
[]
[]
[]
[]
[{"$nulls":6},"3.","(XT*X)^-1 (inverse matrix)"]
[]
[]
[]
[]
[{"$nulls":6},"4.","XT*y"]
[]
[]
[]
[]
[]
[{"$nulls":6},"5.","a"]
[]
[]
[{"$nulls":7},"a1"]
[{"$nulls":7},"a2"]
[{"$nulls":7},"a3"]