The equation of a regression line, unlike the correlation,depends on the units we use to measure the explanatory and responsevariables. Here is the data on percent body fat and preferredamount of salt. Preferred amount of salt x 0.2 0.3 0.4 0.5 0.6 0.81.1 Percent body fat y 19 31 22 29 39 24 31 In calculating thepreferred amount of salt, the weight of the salt was in milligrams.(a) Find the equation of the regression line for predicting percentbody fat from preferred amount of salt when weight is inmilligrams. (Round your answers to one decimal place.) Å· = + x (b)A mad scientist decides to measure weight in tenths of milligrams.The same data in these units are as follows. Preferred amount ofsalt x 2 3 4 5 6 8 11 Percent body fat y 19 31 22 29 39 24 31 Findthe equation of the regression line for predicting percent body fatfrom preferred amount of salt when weight is in tenths ofmilligrams. (Round your intercept to one decimal place and yourslope to two decimal places.) Å· = + x (c) Use both lines to predictthe percent body fat from preferred amount of salt for a child withpreferred amount of salt 0.9 when weight is measured in milligrams,which is the same as 9 when weight is in tenths of milligrams.(Round your answers to one decimal place.) in milligrams % body fatin tenths of milligrams % body fat Are the two predictions the same(up to any roundoff error)? Yes No
