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It is thought that prehistoric Indians did not take their best tools, pottery, a

ID: 2936770 • Letter: I

Question

It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesined that archaeological sites tend to lose their cultural identity and specific caltural affiliation as the elevation of the site increases Let x be the elevation (in thousands of feet) for an anchaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific Mexico: 1500 6.00 6.50 750 8.00 ys55 64 6675 Find a for the oqustion of the least-squares line ya + bx given thatx-6 6 and y- -56.62 b-56.679 -4142 -57.039 57.039

Explanation / Answer

> x=c(5,6,6.50,7.50,8)
> y=c(25,55,64,66,75)
> fit=lm(y~x)
> fit

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x  
-41.42 14.91  

> summary(x)
Min. 1st Qu. Median Mean 3rd Qu. Max.
5.0 6.0 6.5 6.6 7.5 8.0
> summary(fit)

Call:
lm(formula = y ~ x)

Residuals:
1 2 3 4 5
-8.140 6.947 8.491 -4.421 -2.877

Coefficients:
Estimate Std. Error t value Pr(>|t|)  
(Intercept) -41.421 23.677 -1.749 0.1785  
x 14.912 3.541 4.211 0.0245 *
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 8.455 on 3 degrees of freedom
Multiple R-squared: 0.8553, Adjusted R-squared: 0.8071
F-statistic: 17.73 on 1 and 3 DF, p-value: 0.02446

above is the r output for simple linear regression dor Y On X

Correct answer will be -41.421

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