Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the scatter plot is shown below. Round all calculated results to four decimal places.
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.
Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the
![Coefficients
Estimate
Std. Error
t value
Pr(>lt)
Intercept
-42.6491
40.1173
-1.0631
0.2931
gestation
0.5807
0.146
3.9777
0.0002
Residual standard error: 13.6214 on 48 degrees of freedom
Multiple R-squared: 0.2479, Adjusted R-squared: 0.2322
240
260
280
300
Gestation age
Birthweight in ounces
120
091
001](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4745af79-0155-486b-8f61-53121b7c4ee4%2F30eb0915-0d10-48a6-8302-842ad5d0b2c8%2F1z8kbym_processed.png&w=3840&q=75)
![7. Calculate a 95% confidence interval for the slope, B1. (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4745af79-0155-486b-8f61-53121b7c4ee4%2F30eb0915-0d10-48a6-8302-842ad5d0b2c8%2Fkrurym9_processed.png&w=3840&q=75)
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