In: Statistics and Probability
The following sample observations were randomly selected:
1 | 2 | 3 | 4 | 5 | |
X: | 2 | 13 | 8 | 3 | 2 |
Y: | 18 | 13 | 2 | 24 | 9 |
a. Not available in Connect.
b. Determine the regression equation.(Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)
b = a =
Y' = + X
c. Determine the value of Y' whenX is 11. (Do not round intermediate calculations.
Round the final answer to 4 decimal places.)
sr | x | y | (x-xbar)^2 | (y-ybar)^2 | (x-xbar)*(y-ybar) |
1 | 2 | 18 | 20.25 | 14.0625 | -16.875 |
2 | 13 | 13 | 42.25 | 1.5625 | -8.125 |
3 | 8 | 2 | 2.25 | 150.0625 | -18.375 |
4 | 3 | 24 | 12.25 | 95.0625 | -34.125 |
sum | 26 | 57 | 77 | 260.75 | -77.5 |
mean | 6.5 | 14.25 | SXX | SYY | Sxy |
slope=sxy/sxx | -1.006493506 | -52.337662 | |||
intercept=ybar-(slope*xbar) | 20.79220779 | -31.545455 |
b=slope=-1.0064
a=intercept = 20.7922
y= a+b*x
y'= 20.7922 - 1.0064*x
c)
put x = 11
y'= 20.7922 - 1.0064*x
y'= 20.7922 - 1.0064*11
y'=9.7218