# Linear Regression Analysis

The following data represent x = boat sales and y = boat trailer sales from 1995 through 2000.0

Year Boat sales (thousands) Boat trailer sales (thousands)

1995 649 207

1996 619 194

1997 596 181

1998 576 174

1999 585 168

2000 574 159

a. determine that least-squares regression line and interpret its slope

b. estimate, for a year during which 500,000 boats are sold, the number of boat trailers that would be sold

c. what reasons might explain why the number of boat trailers sold per year is less than the number of boats sold per year?

https://brainmass.com/statistics/regression-analysis/linear-regression-analysis-210753

#### Solution Preview

Please see attached file for explanation.

Let y denote the boat trailer sales and x denote the boat sales. Assume that x and y are linearly related. Let be the suggested linear relationship.

By the method of least squares the estimates of and are given by,

and

Boat sales x Boat trailer sales ...

#### Solution Summary

The solution contains the fitting of a least squares regression line and prediction.