Chapter 10, Problem 28E

To determine

To construct: the linear model for this relationship and disclosing any problems that the model might have.

Explanation of Solution

Given:

Number of oranges/trees	Average Weight/fruit
50	0.6
100	0.58
150	0.56
200	0.55
250	0.53
300	0.52
350	0.5
400	0.49
450	0.48
500	0.46
600	0.44
700	0.42
800	0.4
900	0.38

Graph:

Scatterplot:

  

Data analysis

Data > Data analysis > Regression

Step 1. Enter data in excel spreadsheet

Step 2. Click on Data > Data analysis > Regression.

Step 3. Select input Y and X range

Step 4. Click Ok

This is the obtained output

  

From the output

  $Averageweight=-0.0003numberoforange/tree+0.5987$

Residual plot:

  

From the residual output. It represents that it is curvature in the nature, therefore does not fit the data well.