Winter in the city Summary statistics for the data relat-ing the latitude and average January temperature for 55 large U.S. cities are given below. a) What percent of the variation in January Temperaturescan be explained by variation in Latitude?b) What is indicated by the fact that the correlation isnegative? c) Write the equation of the line of regression for predict-ing January Temperature from Latitude. d) Explain what the slope of the line means.e) Do you think the y-intercept is meaningful? Explain.f) The latitude of Denver is 40° N. Predict the meanJanuary temperature there.g) What does it mean if the residual for a city is positive? Variable Mean StdDevLatitude 39.02 5.42JanTemp 26.44 13.49Correlation = -0.848
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.
ing the latitude and average January temperature for 55
can be explained by variation in Latitude?
b) What is indicated by the fact that the
negative?
ing January Temperature from Latitude.
e) Do you think the y-intercept is meaningful? Explain.
f) The latitude of Denver is 40° N. Predict the
January temperature there.
g) What does it mean if the residual for a city is positive?
Latitude 39.02 5.42
JanTemp 26.44 13.49
Correlation = -0.848
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