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) 229 15.9 265 15.7 357 15.4 482 15.3 532 14.9 What are the null and alternative hypotheses? Construct a scatterplot. The linear correlation coefficient r is The test statistic t is The P-value is Because the P-value is ____ than the significance level 0.05, there ____ 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 carfatalities? A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same. B. The results do not suggest any cause-effect relationship between the two variables. C. The results suggest that imported lemons cause car fatalities. D. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
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.
229 15.9
265 15.7
357 15.4
482 15.3
532 14.9
Construct a scatterplot.
The linear correlation coefficient r is
The test statistic t is
The P-value is
Because the P-value is ____ than the significance level 0.05, there ____ 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 carfatalities?
A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
B. The results do not suggest any cause-effect relationship between the two variables.
C. The results suggest that imported lemons cause car fatalities.
D. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
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