a. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? y^ = 2424.7 + 3.891x
b. More generally, suppose that each y value in a data set consisting of n (x, y) pairs is multiplied by a conversion factor c (which changes the units of measurement for y). What effect does this have on the slope b (i.e., how does the new value of b compare to the value before conversion), on the intercept a, and on the equation of the least-squares line? Verify your conjectures by using the given formulas for b and a.

Transcribed Image Text:

Σ(x-R)" = 1000 and Σ (x-x) (y-y) 8577, x 200. 210. 220. 230. 240.0 y 813.7 785.3 960.4 118.0 1076.2