The accompanying data are x = advertising share and y = market share for a parti

Question

The accompanying data are x = advertising share and y = market share for a particular brand of cigarettes during 10 randomly selected years.

(a) Calculate the equation of the estimated regression line. (Round your answers to six decimal places.)
y =

Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.)


(b) Compute r2. (Round your answer to three decimal places.)


(c) Calculate a point estimate of . (Round your answer to four decimal places.)


On how many degrees of freedom is your estimate based?

x 0.103 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.131 0.128 0.121 0.086 0.079 0.076 0.065 0.059 0.051 0.039

Explanation / Answer

Sol:

Regression eq is

y=-0.0 0 0 0 35+1.212403x

Obtain the predicted market share when the advertising share is 0.09

x=0.09

y=-0.0 0 0 0 35+1.212403(0.09)

=0.10908

Solutionb:

Compute r2. (

=0.415

solutionc:

0.0057

8 degrees of freedom

SUMMARY OUTPUT Regression Statistics Multiple R 0.644563 R Square 0.415461 Adjusted R Square 0.342394 Standard Error 0.026629 Observations 10 ANOVA df SS MS F Significance F Regression 1 0.004032 0.004032 5.68601 0.044231 Residual 8 0.005673 0.000709 Total 9 0.009705 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -3.5E-05 0.03603 -0.00096 0.999258 -0.08312 0.08305 X 1.212403 0.508444 2.384536 0.044231 0.039929 2.384877

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