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Shells of mollusks function as part of the skeletal system and as protective armor It has been argued that many features of these shells were the result of natural selection in the constant battle against predators The data let x shell height in cm and y breaking strength in newtons The least squares line was y 275 1 244 9x a What are the slope and the intercept of this line b When shell height increases by 1 cm by how much does breaking strength tend to change c What breaking strength would you predict when the shell height is 2 cm d Does this approximate linear relationship appear to hold for shell heights as small as 1 cm Explain e When shell height increases by 3 cm by how much does breaking strength tend to change f What percent of variation in percentage of cells without aberrations can be explained by the least squares line if r 87 4 There have been numerous studies on the effects of radiation The following data on the relationship between degree of exposure to alpha particles x and the percentage of exposed cells without aberrations y appeared in a research journal as follows alpah part x 0 106 0 193 0 511 0 527 1 08 1 62 1 73 2 36 2 72 3 12 3 88 4 18 44 41 37 40 cells w out aberrations y 98 95 87 a What is the least squares line 72 75 85 55 64 b Look back at the scatter plot does the correlation coefficient tell the whole story What is the correlation coefficient c What percent of variation in percentage of cells without aberrations can be explained by the least squares line be

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