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* 1 10 7 23 19 4450 4456 10 20 a. Choose the correct scatter diagram for these data: ayl 60+ 10 20 30 40 50 60 10 20 30 40 50

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appea

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Answer #1

a. X Values Y Values

Hence D is correct answer

b. From figure we see that there is downward trend hence we find negative correlation between x and y.

c. 80 60 20 0 12 18 24 x-Independent Y-Dependent 40

As point lie either on or near to line, so there is strong negative correlation between x and y.

d. (x-M)2 X-M Y-My (X-M(Y-My) 121 -11 22 -242 -2 6 -12 -5 25 121 49 18 -90 -3e8 -28 11 7 -18 -126 SP: -778 SS: 320

Sum of X = 60
Sum of Y = 190
Mean X = 12
Mean Y = 38
Sum of squares (SSX) = 320
Sum of products (SP) = -778

Regression Equation = ŷ = b1X + b0

b1 = SP/SSX = -778/320 = -2.43

b0 = MY - b1MX = 38 - (-2.43*12) = 67.18

ŷ = -2.43X + 67.18

e. For x=5, ŷ = (-2.43*5) + 67.18=55.03

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