Write the regression equation that represents the above equation. Y = 9.804326378 + 0.65795*X1 + 0.200358 X2 Height of an individual = 9.8043 + 0.6579*Mother's Height + 0.2004* Father's Height 2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
1)Write the regression equation that represents the above equation.
Y = 9.804326378 + 0.65795*X1 + 0.200358 X2
Height of an individual = 9.8043 + 0.6579*Mother's Height + 0.2004* Father's Height
2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?
![Regression Statistics
Multiple R
R Square
Adjusted R Squar
Standard Error
0.631071992
0.398251859
0.365724932
2.914527039
Observations
40
ANOVA
df
SS
MS
F Significance F
Regression
Residual
208.0084392 104.0042 12.24376 8.30181E-05
37
314.2953108 8.494468
Total
39
522.30375
Coefficients
Standard Error
t Stat
P-value
9.804326378
Intercept
Mother's Height
Father's Height
12.39987353 0.79068 0.43417
0.657952815
0.147476295 4.461414 7.34E-05
0.200358437
0.138223638 1.449524 0.155615](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9849c3b-f0ff-47eb-829a-2c91d3fc6b02%2Fb16b579b-2e5b-4f9d-8b5d-5bef60ecb7d1%2Fh26m4st_processed.png&w=3840&q=75)
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