Question

DaughtersHeight data set on the height of adult daughters and the heights of their mothers and fathers, all in inches. analyze these data with child height as the dependent variable. using R studio graph the data and Conduct a separate analysis with Type I and Type III sum of squares tables.

Gender	daughtersheight	mothersheight	fathersheight
F	58.6	63	64
F	64.7	67	65
F	65.3	64	67
F	61	60	72
F	65.4	65	72
F	67.4	67	72
F	60.9	59	67
F	63.1	60	71
F	60	58	66
F	71.1	72	75
F	62.2	63	69
F	67.2	67	70
F	63.4	62	69
F	68.4	69	62
F	62.2	63	66
F	64.7	64	76
F	59.6	63	69
F	61	64	68
F	64	60	66
F	65.4	65	68

Answer 1

Answer:-

Daughters Height data set on the height of adult daughters and the heights of their mothers and fathers, all in inches. analyze these data with child height as the dependent variable. using R studio graph the data and Conduct a separate analysis with Type I and Type III sum of squares tables.

Gender	daughters height	mothers height	fathers height
F	58.6	63	64
F	64.7	67	65
F	65.3	64	67
F	61	60	72
F	65.4	65	72
F	67.4	67	72
F	60.9	59	67
F	63.1	60	71
F	60	58	66
F	71.1	72	75
F	62.2	63	69
F	67.2	67	70
F	63.4	62	69
F	68.4	69	62
F	62.2	63	66
F	64.7	64	76
F	59.6	63	69
F	61	64	68
F	64	60	66
F	65.4	65	68

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.821711
R Square	0.675209
Adjusted R Square	0.636998
Standard Error	1.939902
Observations	20

ANOVA
	df	ss	MS	F	Significance F
Regression	2	132.9973	66.49864	17.67068	0.0000
Residual	17	63.97472	3.763219
Total	19	196.972

	Coefficients	Standard Error	t Stat	P-value
Intercept	7.454305	10.88037
mothers height	0.707206	0.128858	5.488247	0.0000
fathers height	0.163629	0.12659	1.292586	0.213448

from anova , p value < 0.05

daughter's height is related to mother's and/ or father's height

........

and p value for mother's height coefficient test,

p value = 0.0000 < 0.05

so there is significant relationship between daughter's height and mother's height