Research was done to see if there is a relationship between finger dexterity and the ability to

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Research was done to see if there is a relationship between finger dexterity and the ability to do work on a production line. The data is shown in the table. Dexterity Score (x) 2.5 Productivity (y) 3 3.5 4 5 5 5.5 6.5 7 8 80 130 100 220 190 210 270 290 350 400 The equation of the regression line for these data is y = -59 + 57x a Use the equation to estimate the productivity of someone with a dexterity of 6. b State the contextual meaning of the figure 57. c State, giving in each case a reason, whether or not it would be reasonable to use this equation to work out the productivity of someone with dexterity of: 12 ii 14. 8. A regression line of y = 5 + 3x is found using 10 data sets. Another piece of data is recorded which when put on a scatter diagram with the original data proves to be well above the regression line for all the other data. Write down whether or not the regression equation would change if this piece of data were included in the calculation.

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