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Satistics

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Assignment 6 : Answers

Chapter 14:

Solutions: 1 a. The Scatter diagram is as follows

b. There appears to be a positive linear relationship between x and y. Any kind of a line that we draw by hand or otherwise would go upwards as we go from left to right on the X axis c. Many different straight lines can be drawn to provide a linear approximation of the relationship between x and y; in part (d) we will determine the equation of a straight line that “best” represents the relationship according to the least squares criterion.

d. | | | | | | | | 1 | 3 | 1-3=-2 | 3-8=-5 | (-2)(-5)=10 | 4 | | 2 | 7 | 2-3=-1 | 7-8=-1 | (-1)(-1)=1 | 1 | | 3 | 5 | 3-3=0 | 5-8=-3 | (0)(3)=0 | 0 | | 4 | 11 | 4-3=1 | 11-8=3 | (1)(3)=3 | 1 | | 5 | 14 | 5-3=2 | 14-8=6 |

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