Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon_Imports_(x) Crash_Fatality_Rate_(y) 232 15.9 266 15.6 357 15.5 481 15.3 532 14.8 What are the null and alternative hypotheses? Construct a scatterplot The linear correlation coefficient is The test statistic is The P-value is Because the P-value is ▼ less greater than the significance level 0.05, there ▼ is not is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05. Do the results suggest that imported lemons cause car fatalities?
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.
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
232 15.9
266 15.6
357 15.5
481 15.3
532 14.8
What are the null and alternative hypotheses?
Construct a scatterplot
The linear correlation coefficient is
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