User manual - Examples 1

17
examples
Example A survey conducted by a city on its real estate investments revealed
the following data on the relationship between area and price.
Does the data indicate that the value
β
1, that is, the slope of the popula-
tion regression line, is not zero, which would mean that x (Area) can be
use as a predictor of y (Sales Price)? Use a 5% level of significance.
Procedure
1 m STAT2
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e
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3 3(TEST) c(T)d(LinReg)
4 1() c
1(LIST) bwc
1(LIST) cwc
1(1)c
1(None) c
5 1(CALC)
Result Screen
Since P = 6.4531e-3 < 0.05 (level of significance), we can reject the null hypothesis
β
1 ≠ 0
and conclude that there is a linear relationship y =
β
0 +
β
1x + ε between area(x) and price(y).
x Area (square feet) 9 15101110
y Sales Price (× $1000) 36 80 44 55 35