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Please help me with 5.2 activity the acnial least squares tine, Acrivity 5.2 Age

ID: 3363739 • Letter: P

Question

Please help me with 5.2 activity

the acnial least squares tine, Acrivity 5.2 Age and Flexibility neededi Yandst nvestigate the exibility 3. After your class has collected and flexitb there is a rela between age and a measure of flexibility. Flexibility will been ep b kine thoi ao hard the foor be measured by asking a person to bend at the waist as Usinge a yardstick. measure the distance from the floor to tionship betweear to be a relationship between the fingertip closest to the floor tionship bpp to bhat is appropriate for describing s. If there app model that is appropriate for 5. In the context of this acrivity, write a of the danger of extrapolation. 1. Age and the measure of flexibility just described will for a group of individuals. Our goal is to de-5.In the conte termine whether this measure of flexibility. What are two reasons there is a relationship between age and why it not be a good idea to use just the students in your class as the subjects for your study? Summary of Key concepts and Formulas Term or Formula Comment A picture of bivariate numerical data in which each servation (x, y) is represented as a point located with Scatterplor ob- y axis. Pearson's sample correlation coefficient A measure of the extent to which sample x and 27 are linearly related: -1srs 1, so values close to 1 or -I indicate a strong linear relationship. The method used to select a line that summarizes an approximate linear relationship between x and y. The Priaciple of least squares least-squares line is the line that minimizes the sum of the squared vertical deviations for the points in the scatterplot.

Explanation / Answer

Scatterplot: scatterplot is simplest way to check the correlation between the variables.

If x increases and y also increases, then there is positive correlation between the variables.

If decrees and y decrees, then there is positive relation between the variables

If variables are behavior is appositive from each other then there is negative relation between the variables.

The range of r is -1<r<1

Persons correlation coefficient:

Persons Correlation formula : Persons correlation is the mathematical measure of correlation.

Principle of least square: to find the best linear regarrison it is possible when the residual mean square error are minimum. And to find the minimum residual sum we can use the least square method. In least square regression residual sum of square are minimum.

thanks