- The Scatterplot Obtained Using Marriage Age Xlsx File Suggests A Decrease In The Difference In Ages At First Marriage Fo 1 (36.05 KiB) Viewed 32 times
- The Scatterplot Obtained Using Marriage Age Xlsx File Suggests A Decrease In The Difference In Ages At First Marriage Fo 2 (78.34 KiB) Viewed 32 times
1. Hypotheses:
H0 : [ Select ]
["b1 = 0", "β1 ≠ 0", "b1 ≠ 0", "β1 =
0"] (Difference in age at first
marriage [ Select ] ["has
been changing", "has not been changing"] )
HA : [ Select ]
["β1 = 0", "β1 ≠ 0", "b1 ≠ 0", "b1 = 0"] (Difference in
age at first marriage [ Select ]
["has not been changing", "has been
changing"] )
- The Scatterplot Obtained Using Marriage Age Xlsx File Suggests A Decrease In The Difference In Ages At First Marriage Fo 3 (31.16 KiB) Viewed 32 times
boxplot shows [ Select ]
["obvious skewness and outliers", "no obvious skewness or
outliers"] . Assumptions of independence, constant
variance and normality are [ Select ]
["not met", "met"] .
c) Test the hypothesis and state your conclusion about the trend
in age at first marriage.
2. Test statistic:
t = [ Select ]
["-6.59899", "6.9301"]
R2 = [ Select ]
["0.5689", "0.7542"]
P-value = [ Select ]
["6.42677E-08", "1.67342E-07"]
3. Decision rule:
Since p-value is [ Select ]
["less than", "greater than"] 5% level of
significance, therefore we [ Select ]
["reject H0", "fail to reject H0"] .
The R2 value suggests that the fit of linear
regression model is [ Select ]
["excellent", "good", "poor"] .
4. Conclusion:
Based on the sample and at 5% level of significance, there
is [ Select ] ["not enough
evidence", "enough evidence"] to suggest that the
difference in age at first marriage is significantly different from
0 and decreasing.
The scatterplot obtained using Marriage age.xlsx file suggests a decrease in the difference in ages at first marriage for men and women since 1975. We want to examine the regression to see if this decrease is significant. 2.8 2.6 2.4 MenAge - WomenAge 2.2 N 1.8 1.6 1975 1980 1985 1990 1995 2000 2005 2010 Year
2 Year Men 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 1985 1984 1983 1982 1981 1980 1979 1978 1977 1976 1975 Women MenAge-WomenAge 28.2 26.1 2.1 28.1 25.9 2.2 27.6 25.9 1.7 27.5 25.6 1.9 27.5 25.5 2 27.1 25.3 1.8 27.4 25.3 2.1 27.1 25.3 1.8 6.9 25.3 1.6 26.9 25.1 1.8 26.8 25.1 1.7 26.7 25 1.7 26.8 25 1.8 27.1 24.8 2.3 26.9 24.5 2.4 26.7 24.5 2.2 26.5 24.5 2 26.5 24.4 2.1 26.3 24.1 2.2 26.1 23.9 2.2 26.2 23.8 2.4 25.9 23.6 2.3 25.8 23.6 2.2 25.7 23.1 2.6 25.5 23.3 2.2 25.4 23 2.4 25.4 22.8 2.6 25.2 22.5 2.7 24.8 22.3 2.5 24.7 22 2.7 24.4 22.1 2.3 24.2 21.8 2.4 24 21.6 2.4 23.8 21.3 2.5 23.5 21.1 2.4
b) Here is the residuals scatterplot and a boxplot of the residuals. Do you think the conditions for inference are satisfied? Explain. Boxplot of residuals 0.3 05 0.2 0.4 03 0.1 0. Residuals 0 01 0 1970 -0.1 1980 1990 2000 2010 2020 Residuals U 0.1 -0.2 -0.3 -0.3 Year -0.4 -0.5