The following data on the relationship between degree of exposure to ²⁴²Cm alpha radiation particles (x) and the percentage of exposed cells without aberrations (y) appeared in the paper “Chromosome Aberrations Induced in Human Lymphocytes by DT Neutrons” (Radiation Research [1984]: 561–573):

Summary quantities are

a. Obtain the equation of the least-squares line.

b. Calculate SSResid and SSTo.

c. What percentage of observed variation in y can be explained by the approximate linear relationship between the two variables?

d. Calculate and interpret the value of s_e.

e. Using just the results of Parts (a) and (c), what is the value of Pearson’s sample correlation coefficient?

Transcribed Image Text:

X y y x y 0.106 98 1.08 75 2.72 44 0.193 95 1.62 72 3.12 41 0.511 87 1.73 64 3.88 37 0.527 85 2.36 55 4.18 40