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Classified ads in the local paper offered several used cars of a particular model for sale....

Classified ads in the local paper offered several used cars of a particular model for sale. The used car ages are measured in years and the advertised selling prices in dollars.

Simple linear regression results:
Dependent Variable: ad price
Independent Variable: age
Price_Advertised_($) = 12288.813 - 921.27273 Age_(yr)
Sample size: ****
R (correlation coefficient) = ******
R-sq = 0.89346768
Estimate of error standard deviation: 1218.3026

Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept 12288.813 574.62041 ≠ 0 15 21.385966 <0.001
Slope -921.27273 82.13000 ≠ 0 15 ******* ******


Analysis of variance table for regression model:

Source DF SS MS F-stat P-value
Model 1 1.8672356e8 1.8672356e8 125.80234 *******
Error 15 22263920 1484261.3
Total 16 2.0898748e8

What is the t-statistic for the slope of age?

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Solution :

From given output ,

What is the t-statistic for the slope of age is is = -921.27273 / 82.13 = -11.21725

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