A statistical program is recommended. Electromagnetic technologies offer effecti

Question

A statistical program is recommended.

Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density,"† was used to relate y = dielectric constant to x = air void (%) for 18 samples having 5% asphalt content.

The following R output is from a simple linear regression of y on x.

(b)

What percentage of observed variation in dielectric constant can be attributed to the approximate linear relationship between dielectric constant and air void? (Round your answer to two decimal places.)

%

(c)

Find the test statistic value and find the P-value. (Round your test statistic to two decimal places and yourP-value to three decimal places.)

t=

P-value=

(d)

Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

t=

P-value=

y 4.55 4.49 4.50 4.47 4.47 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.33 4.44 4.40 4.26 4.32 4.34 x 4.35 4.79 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.08

Explanation / Answer

from above output:

b) percentage of observed variation =r2 =77.97%

c)  test statistic value t =-7.53

p value =0.000

d)

t value =81.28

p value =0.000

(Note: here for part c and d please revert for whcih parameter t value is required as it is not mentioned. I have used for part c slope and for part d intercept)

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