The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r=0.766. At α=0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? Soccer player data Maximum_weight,_x Jump_height,_y 190 60 185 57 155 54 180 61 175 57 170 65 150 51 160 52 160 50 180 57 190 60 210 65 Determine the null and alternative hypotheses. choose the best answer H0:ρ▼ a.greater than or equals≥ b.less than or equals≤ c.less than< d.equals= e.not equals≠ g.greater than> 0 Ha:ρ▼ A.less than< b.equals= c.less than or equals≤ d.greater than or equals≥ e.greater than> f.not equals≠ Determine the critical value(s). t0= (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the standardized test statistic. t= (Round to three decimal places as needed.) What is the conclusion? choose a or b ▼ a.Reject b.Fail to reject H0. There ▼ a.is not b.is enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the maximum weight for one repetition of a half squat and the jump height.
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.
The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for
international soccer players are given in the accompanying table. The
At
is there enough evidence to conclude that there is a significant
Soccer player data
Maximum_weight,_x Jump_height,_y
190 60
185 57
155 54
180 61
175 57
170 65
150 51
160 52
160 50
180 57
190 60
210 65
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