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the equation for the regression line is y=1.533x+54.133 (a) Predict the value of

ID: 3021514 • Letter: T

Question

the equation for the regression line is y=1.533x+54.133

(a) Predict the value of y for

xequals=11.5

Choose the correct answer below.

A.

71.8

B.

68.7

C.

70.2

D.

not meaningful

(b) Predict the value of y for

x=10.5

Choose the correct answer below.

A.

70.2

B.

68.7

C.

77.1

D.

not meaningful

(c) Predict the value of y for

x=15.0

Choose the correct answer below.

A.

71.8

B.

70.2

C.

77.1

D.

not meaningful

(d) Predict the value of y for

x=9.5

Choose the correct answer below.

A.

77.1

B.

71.8

C.

68.7

D.

not meaningful

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Explanation / Answer

a)

As

y=1.533x+54.133

Then if x = 11.5,

y=1.533*11.5+54.133

y = 71.7625 = 71.8 [ANSWER, A]

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b)

As

y=1.533x+54.133

Then if x = 10.5,

y = 1.533*10.5+54.133

y = 70.2295 = 70.2 [ANSWER, B]

****************

c)

As

y=1.533x+54.133

Then if x = 15,

y = 1.533*15+54.133

y = 77.128 = 77.1 [ANSWER, C]

****************

d)

As

y=1.533x+54.133

Then if x = 9.5,

y = 1.533*9.5+54.133

y = 68.6965 = 68.7 [ANSWER, C]