Consider the following sample data:

x 12 23 11 20 14

y 20 12 17 13 18

a. Construct a scatterplot and verify that estimating a simple linear regression is appropriate.

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The scatterplot shows that x and y appear to have a positive linear relationship.

The scatterplot shows that x and y appear to have a negative linear relationship.

The scatterplot shows that x and y appear to have no linear relationship.

b. Calculateb₀andb₁. What is the sample regression equation? Predictyifxequals 15.(Negative values should be indicated by a minus sign. Round answers to 2 decimal places.)

=_______+ ________x

x

15 _______

c. Interpret the value of the slope coefficient, b₁.

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Asyincreases by 1 unit,xis predicted to decrease by 0.59 units.

Asxincreases by 1 unit,yis predicted to increase by 25.45 units.

Asxincreases by 1 unit,yis predicted to decrease by 0.59 units.

Asyincreases by 1 unit,xis predicted to increase by 25.45 units.

d. Calculates_e.(Round answerto 2 decimal places.)

__________

e. Calculate R².(Round answerto 3decimal places.)

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