Question

Weights Pounds12.90 $17.1518.20 $23.7720.50 $26.7216.40 $19.8715.40 $23.2210.60 $9.14A. Find the numerical value for correlation between weight and pounds B. Report the equation of the best straight line as predictor (x) and the cost as (y)C. Report the slope and interception of the regression line and explain what it shows. If the intercept is not appropriate, explain D. Report the slope of the regression line and explain what it showsE. Add a new point to your data. A 30 pound turkey is free. Give the new value for R and the new regression equation. What does the negative correlation implies

Answer 1

We have a set of data that relates weights and pounds.

A. We have to find the numerical value for the correlation between weight and pounds.

We can express the correlation coefficient between two samples x and y as:

`r_(xy)={\frac{\sum_(i)x_(i)y_(i)-n{\bar{x}}{\bar{y}}}{{\sqrt{\sum_(i)x_(i)^(2)-n{\bar{x}}^(2)}} {\sqrt{\sum_(i)y_(i)^(2)-n{\bar{y}}^(2)}}}}.`