Question
As part of a project to study the effect of fish feed on mercury build-up in native children, a group of researchers are trying to
As part of a project to study the effect of fish feed on mercury build-up in native children, a group of researchers are trying to determine whether the concentration of mercury (Y) in parts per million (ppm ) increase with age.The data are reproduced in the following table
X (ge) | Y (ppm Hg) | X (ge) | Y (ppm Hg) | X (ge) | Y (ppm Hg) |
1 | 0.24 | 4 | 0.44 | 7 | 0.44 |
1 | 0.28 | 4 | 0.41 | 8 | 0.60 |
1 | 0.19 | 4 | 0.44 | 8 | 0.59 |
2 | 0.25 | 5 | 0.43 | 8 | 0.47 |
2 | 0.26 | 6 | 0.46 | 9 | 0.53 |
2 | 0.31 | 6 | 0.55 | 11 | 0.58 |
3 | 0.38 | 6 | 0.50 | 12 | 0.62 |
3 | 0.45 | 7 | 0.40 | 12 | 0.66 |
3 | 0.28 | 7 | 0.46 | 12 | 0.44 |
S(xi- x)2= 317.630
S(yi-y)2= 0.417607*
S(xi- x)(yi-y)= 9.71481*
* Note: = Average of the variable y
- Calculate the equation of the estimation line (2 points)
b) Test whether the use of the estimation line is justifiable (6 points)
c)Evaluate the limits of the confidence interval of the slope of the estimation line, at the significance levela = 0.05 (2).
d) By how many parts per million does the mercury concentration appear to increase as they age a year?(3 points)
e) Determine the coefficient of determination of the estimation line (2 points)
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