Question

A data set is given below.

​(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.

​(b) Given that x=3.6667,  sx=2.3381, y=4.38334​, sy=1.58921​, and r= - 0.9330​, determine the​ least-squares regression line.

​(c) Graph the​ least-squares regression line on the scatter diagram drawn in part​ (a).

x	11	11	33	55	66	66
y	5.25.2	6.56.5	5.65.6	3.43.4	2.72.7	2.92.9

There appears to be a ___________relationship.

b). y^=____x+(__)

c. choose graph

Answer 1

a.

As there is decreasing trend there is negative correlation between x and y

b.

Sum of X = 22
Sum of Y = 26.3
Mean X = 3.6667
Mean Y = 4.3833
Sum of squares (SS_X) = 27.3333
Sum of products (SP) = -17.3333

Regression Equation = ŷ = bX + a

b = SP/SS_X = -17.33/27.33 = -0.6342

a = M_Y - bM_X = 4.38 - (-0.63*3.67) = 6.7085

ŷ = -0.6342X + 6.7085

c.

So is the answer