(I did this homework in completion but professor was not happy with answers whatsoever, need additional answers and especially improvement to 1.b
help!! photos not attaching?
1.
a) From the scatter plot, we get to know that there is positive correlation between the cost of living index and salary i.e. salary can be decided using cost of living index.
b)
Area | Index (x) | Salary(y) | X - Mx | Y - My | (X - Mx)2 | (X - Mx)(Y - My) |
Oklahoma city | 46 | 19 | -5 | -3 | 25 | 15 |
Tampa | 35 | 10 | -16 | -12 | 256.00 | 192 |
atlanta | 50 | 27 | -1 | 5 | 1 | -5 |
sacramanto | 65 | 29 | 14 | 7 | 196 | 98 |
honolulu | 59 | 25 | 8 | 3 | 64 | 24 |
sum | 542 | 324 |
Sum of X = 255 |
Sum of Y = 110 |
Mean X = 51 |
Mean Y = 22 |
Sum of squares (SSX) = 542 |
Sum of products (SP) = 324 |
Regression Equation = ŷ = bX + a |
b = SP/SSX = 324/542 = 0.59779 |
a = MY - bMX = 22 - (0.6*51) = -8.48708 |
ŷ = 0.59779X - 8.48708 |
d) The slope is positive here. The coefficient indicates that for every unit change in cost of living index you can expect salary to increase by an average of 0.6 thousand dollar
e) From the regression equation, we see that the intercept value is -8.48. If the value of cost of living index is zero, the regression equation predicts that salary is -8.48 thousand dollar!
All the answers are just fine!
(I did this homework in completion but professor was not happy with answers whatsoever, need additional...
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