I’m having a very hard time on this question. Please throughly show work for PAR

Question

I’m having a very hard time on this question. Please throughly show work for PARTS (a)-(h). Complete parts (ajmoughh) for the data below -3 1 4 5 5 (a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable Choose the correct scatter diagram belovw O A. OD. (b) Find the equation of the ine containing the points (-1.1) and (1,5) Type integers or simpiried fractions) (c) Graph the line found in part (b) on the scater dagram Choose the correct graph below OA. O C Click to select your answers)

Explanation / Answer

Y = f(X)

a) Option- (B)

Only this has all the points (x,y) as per the data given

b) (-1,1) and (1,5)

y-1 = [(5-1)/(1+1)](x+1)

y-1 = 2(x+1)

y-1 = 2x+2

y-2x = 3

c) Option - (B)

This only passes through the given set of points

d) OLS line

X Values
= 0
Mean = 0
(X - Mx)2 = SSx = 10

Y Values
= 12
Mean = 2.4
(Y - My)2 = SSy = 47.2

X and Y Combined
N = 5
(X - Mx)(Y - My) = 20

Y = b0+b1x

b1 = Cov (x,y)/Var (x) = 20/47.2 = 0.423

b0 = My-b1*Mx= 2.4-0.423*0 = 2.4

Regression line is : Y = 2.4+0.423x

e) Option - (C)

Since, x=0 will point towards the value of 2.4

For (f) and (g)

Put x=-2 to 2 and obtain calculated y values

Then subtract these from actual y values for respective x and square them

The sum of these will give us the sum of squared residuals

Hope this helps and Please don't forget to rate the answer :)

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