Question

The data shown to the right for the dependent variable, and the independent variable, xhave been collected using simple random sampling a Construct a scatter plot for these data Based on the scatter plot, how would you describe the relationship between the two variables? b Compute the correlation coefficient X 10 110 14 130 12 120 13 140 15 100 11 100 14 150 11 130 a Which graph below shows a cutter plot for these data? ОА ос. 180 15 10 10 180 The e appears to be linear relationship between x and y What is the correlation coefficient? (Round to two decimal places as needed)

Answer 1

we have Х Y lo LO 160 14 130 12 10+ 120 5 100 + 140 13 IS 160 to + 60+ 14 1 150 130 40 20 O 101.12 13 14 TO (a) The correct option is دارو وارد می شود استاندا b) The formula for comeration coefficient can be given as Covlx, 4 tan 23 I vartx) varly) tout mish je barve where Cov(x,y) = covariance (X,Y) - Exxx) (ni-uly;-)) 2

no. where is the observations and u & are the means ofn n-observations & grobservations respectively & Var (x2 ² nine varly) Ŝ (47-9) til wa 10+14+ 12+ 12-5 اکا 110 + 130 + Lo + + 130 130 cor (x,y) = {(10-12-5) (110-130) + (14-12.5) (130-130) + + (11-12-5)(130–130)} carlx,y) 26.25 =

{varik) *4.10-13-5 { (10-12-5) + (1472-532 + (11-12-5)? 1772811 varly)= $ 4210–130) ? + (130-13032 + + (130-130)2 varly 20 - Corix,y) Ivar(x) var(4) 11 26.25 1.772811 x 20 D 0.74035 *t (27.3 (2.0.74 25 (ti