Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of α=0.05. Shoe Print (cm) Foot Length (cm) Height (cm) 29.7 25.5 180.5 30.6 25.6 174 31.8 27.8 192.4 33.0 26.6 181.9 27.3 25.0 173.4 The linear correlation coefficient is r= (Round to three decimal places as needed.) =0/=0 The test statistic is t= (Round to two decimal places as needed.) The P-value is = (Round to three decimal places as needed.) (less than or equal to)/(is)
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.
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a
Shoe Print (cm) Foot Length (cm) Height (cm)
29.7 25.5 180.5
30.6 25.6 174
31.8 27.8 192.4
33.0 26.6 181.9
27.3 25.0 173.4
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
=0/=0
The test statistic is t=
(Round to two decimal places as needed.)
The P-value is =
(Round to three decimal places as needed.)
(less than or equal to)/(is)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
