A researcher conducted an experiment on rats and found the below given data of initial weights X of 15 four weeks-old rats and their weight gains Y, after 9 weeks on a special diet.

Initial weight(X)

55,68,72,43,56,54,62,59,74,73,64,51,70,49,63

Weight gain(Y)

112,95,120,121,122,105,85,89,98,95,104,135,125,118,90

The researcher wish to know

(a)Whether or not the weight gain depends upon birth weight

(b)Is there any relationship between birth weight and weight gain after 9 weeks of special diet?

(c)Interpret your finding in part (a) and part (b).write down the relationship between correlation and regression coefficients.