(a) What is the value of the slope of the least squares regression line? Interpret the slope in the context of this situation. (b) What is the value of the y-intercept of the least squares regression line? Interpret the y-intercept in the context of this situation. (c) Predict the number of magazines published in the United States in 1999. (d) What is the value of the correlation coefficient for number of magazines published in the US and years since 1988? Interpret this correlation.
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. The National Directory of Magazines tracks the number of magazines published in
the United States each year. An analysis of data from 1988 to 2007 gives the following
computer output. The dates were recorded as years since 1988. Thus, the year 1988 was
recorded as year 0. A residual plot (not shown) showed no pattern.
Predictor
Coef
StDev
T
Constant
13549.9
2.731
7.79
0.000
Years
325.39
0.1950
10.0
0.000
S= 836.2
R-Sq = 84.8%
R-Sq (adj) = 80.6%
(a) What is the value of the slope of the least squares regression line? Interpret the slope
in the context of this situation.
(b) What is the value of the y-intercept of the least squares regression line? Interpret the
y-intercept in the context of this situation.
(c) Predict the number of magazines published in the United States in 1999.
(d) What is the value of the correlation coefficient for number of magazines published in
the US and years since 1988? Interpret this correlation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb83650c-b6ed-40f1-b2fb-840de96035a3%2F38ea6c40-4a95-4b90-aa57-126c3a924049%2Frkt004p_processed.png&w=3840&q=75)
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