Chapter 3.2, Problem 51E

a.

To determine

To construct: The scatterplot using the provided data set.

Explanation of Solution

Given:

The data set is:

Sugar (g)	Calories
45	450
107	570
62	480
44	370
79	790
60	420
61	580
87	450
92	490
136	680
59	460
48	350

Graph:

The scatter plot is:

  

b.

To determine

To find: The equation of regression line using the technology. Also, show this regression line on the scatter plot.

Explanation of Solution

The output obtained using the Ti-83 calculator is:

  

Thus, the regression line is: $\widehat{y}=2.829x+300.040$

Graph:

The regression line on the scatter plot could be shown as:

  

c.

To determine

To explain: The reason of calling the regression line calculated in above part the least square regression line.

Explanation of Solution

The regression line computed in above part is minimizing the errors or residual because it is Thus, it is being called a least square regression line