Question

Please give a detailed explanation, not just the answer. Thanks in advance!

Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal places.

x	y
2	13.524
7.5	19.125
13	23.463
18.5	28.937
24	33.6
29.5	37.779
35	43.065

y=_____x +_______

Answer 1

Solution =

The regression is a way to model the relationship between two variables. ... The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.

X	Y	XY	X^2	Y^2
2	13.524	27.048	4	182.898576
7.5	19.125	143.4375	56.25	365.765625
13	23.463	305.019	169	550.512369
18.5	28.937	535.3345	342.25	837.349969
24	33.6	806.4	576	1128.96
29.5	37.779	1114.481	870.25	1427.25284
35	43.065	1507.275	1225	1854.59423

  

n	7
sum(XY)	4438.99
sum(X)	129.50
sum(Y)	199.49
sum(X^2)	3242.75
sum(Y^2)	6347.33
Numerator	5238.62
Denominator	5241.59
r	0.9994
r square	0.9989
Xbar(mean)	18.5000
Ybar(mean)	28.4990
SD(X)	9.3930
SD(Y)	8.3112
b	0.8836
a	12.1532

The regression equation,

= bx + a

= (0.884)x + 12.153

Answer :  

= (0.884)x + 12.153