Is it reasonable to interpret the y-intercept of the regression line ? Why or why not?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 9A
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7. Is it reasonable to interpret the y-intercept of the regression line ? Why or why not?
footage<-c(1561,1818,1421,1488,1356,1430,1881,1253,1300,1500,1806,1777,1995)
price<-c(425,489,379,499,299,380,560,429,524.9,429.9,580,459,665)
xyplot(price-footage,
xlab
"square Footage",
ylab="Asking price($000)",
type=c("p","r"))
Transcribed Image Text:footage<-c(1561,1818,1421,1488,1356,1430,1881,1253,1300,1500,1806,1777,1995) price<-c(425,489,379,499,299,380,560,429,524.9,429.9,580,459,665) xyplot(price-footage, xlab "square Footage", ylab="Asking price($000)", type=c("p","r"))
600
500
400
300
1400
1600
1800
2000
square Footage
cor(price, footage)
## [1] 0.7088847
pricemodel<-1m(price~footage)
msummary(pricemodel)
Estimate Std. Error t value Pr(> |t|)
##
## (Intercept)
## footage
21.14411 136.31449
0.155 0.87954
0.28388
0.08516 3.333 0.00667 **
#2#
## Residual standard error: 71.64 on 11 degrees of freedom
## Multiple R-squared: 0.5025, Adjusted R-squared: 0.4573
## F-statistic: 11.11 on 1 and 11 DF, p-value: 0.006671
Asking price($000)
Transcribed Image Text:600 500 400 300 1400 1600 1800 2000 square Footage cor(price, footage) ## [1] 0.7088847 pricemodel<-1m(price~footage) msummary(pricemodel) Estimate Std. Error t value Pr(> |t|) ## ## (Intercept) ## footage 21.14411 136.31449 0.155 0.87954 0.28388 0.08516 3.333 0.00667 ** #2# ## Residual standard error: 71.64 on 11 degrees of freedom ## Multiple R-squared: 0.5025, Adjusted R-squared: 0.4573 ## F-statistic: 11.11 on 1 and 11 DF, p-value: 0.006671 Asking price($000)
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