The age (in weeks) and the number of hours slept in a day were recorded for a random sample of 8 infants. Age (in weeks) 5 10 15 22 26 36 42 47 Hours slept in a day 14.9 14.5 14.7 14.2 13.4 14.1 13.4 13.7 (a) Find the regression line that predicts the number of hours an infant sleeps in a day based on its age (in weeks). (b) How well does the regression line fit the data? Use words and statistics to support your answer. (c) Predict the number of hours that a 30-week-old infant would sleep in a day. Use words to state your answer.
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.
The age (in weeks) and the number of hours slept in a day were recorded for a
random sample of 8 infants.
Age (in weeks) 5 10 15 22 26 36 42 47
Hours slept in
a day
14.9 14.5 14.7 14.2 13.4 14.1 13.4 13.7
(a) Find the regression line that predicts the number of hours an infant sleeps in
a day based on its age (in weeks).
(b) How well does the regression line fit the data? Use words and statistics to
support your answer.
(c) Predict the number of hours that a 30-week-old infant would sleep in a day.
Use words to state your answer.
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