Let's say that we are interested in the relationship between shoe size and height. Let's say we have the following data. What is the regression equation between these two variables? X (Shoe Size in inches): 13 12.5 11 11.5 12 11 13 14 13 9 8 Y (Height in inches): 68 69 70 67.4 69 73 74 71 70.5 64 67.
Answers:
y = .89931x  58.88982 

y = .89931x + 58.88982 

y = 58.88982x +.89931 

y = .89931x  58.88982 
Providing your own answer what is the slope value to the previous question?
X  Y  XY  X^2  Y^2 
13  68  884  169  4624 
12.5  69  862.5  156.25  4761 
11  70  770  121  4900 
11.5  67.4  775.1  132.25  4542.76 
12  69  828  144  4761 
11  73  803  121  5329 
13  74  962  169  5476 
14  71  994  196  5041 
13  70.5  916.5  169  4970.25 
9  64  576  81  4096 
8  67  536  64  4489 
n  11 
sum(XY)  8907.10 
sum(X)  128.00 
sum(Y)  762.90 
sum(X^2)  1522.50 
sum(Y^2)  52990.01 
b  0.8993 
a  58.88982 
ycap = 0.89931x + 58.88982
slope = 0.89931
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