Question
I need help with this set of equations/problems. I have some of it done, but I am not sure it is correct and I am
I need help with this set of equations/problems. I have some of it done, but I am not sure it is correct and I am stuck and can't get any further. I need for you to break this down for me like I am a five year old if possible. Thank you in advance!
Each of the following pairs represents the number of licensed drivers (X) and the number of cars (Y) for seven houses in my neighborhood:
Drivers (X) Cars (Y)
5 4
5 3
2 2
2 2
3 2
1 1
2 2
(b).Determine the least squares equation for these data.(Remember, you will first have to calculate r, SSy , and SSx).
n= 7X = 20Mean = 2.8571Y= 16Mean = 2.2857XY= 54 X2= 72 Y2= 42
SPXY = XY- (X) (Y) n54- (20)(16)7=8.2857
SSX = X2 - (X)2 n 72 - (20)2 7 = 14.8571
SSY = Y2 - (Y)2 n42 - (16)2 7= 5.4286
8.2857 8.9807= 0.9228
r= 0.9228
SSX= 14.8571
SSY= 5.4286
Y' = bX + a
2.29 - (0.1447)(2.8571)=1.8723
b= 0.1447
a= 1.8723
Y' = bX + a=Y'= 0.1447 x
(c).Determine the standard error of estimate Sy/x, given that n= 7.
(d).Predict the number of cars for each of two new families with two and five drivers.
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