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 229 264 359 481 534 Crash Fatality Rate 15.8 15.6 15.4 15.3 14.9 What are the null and alternative hypotheses? The linear correlation coefficient is r= Determine the null and alternative hypotheses. h0: p ___ ___ h1: p ___ ___ The test statistic is t= The P-value is Because the P-value of the linear correlation coefficient is _______ the significance level, there _____sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.
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
We use Excel to create a scatter plot;
- Enter the data in the spreadsheet;
- Select the range of the data. Go to Insert>Charts>Scatter.
- The plot obtained is;
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