The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5940 5390 6500 5100 5820 4800 Variability in braking distance, y 1.71 1.94 1.87 1.65 1.61 1.50 LOADING... Click here to view a table of critical values for Student's t-distribution. H0:ρ_____0 Ha:ρ____0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is _____. B. The critical values are −t0=_____and t0=_____ Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There________enough evidence at the 5% level of significance to conclude that there ______a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
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.
|
Weight, x
|
5940
|
5390
|
6500
|
5100
|
5820
|
4800
|
|
|---|---|---|---|---|---|---|---|
|
Variability in braking distance, y
|
1.71
|
1.94
|
1.87
|
1.65
|
1.61
|
1.50
|
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