Question

The following table presents the budget (in millions of dollars) for selected organizations that recieved U.S. government funding for arts and culture in both 2004 and 2006. Use TI-84 calculator to answer the following. Table: Organization- Smithsonian 2004: 489, 2006: 517 Inst. Of Museum and library services 2004: 262, 2006:247 National endowment for arts 2004: 121, 2006:124 Kennedy centre 2004: 17, 2006: 18 Advisory council on historic prevention 2004: 4, 2006: 5 part 1: Compute the least-squares regression line for predicting the 2006 budget from the 2004 budget. Round the slope and y-intercept to four decimal places.

Answer 1

2004	2006
489	517
262	247
121	124
17	18
4	5

By using the TI-84 calculator we have to find values of slope and intercept.

First, enter data into TI-84 calculator.

Path is Click on STAT -------> Edit ----->

Enter 2004 values in L1 and 2006 values in L2.

Then click on STAT ------>CALC ----------> LinReg(ax + b)  -------->

Xlist: L1

Ylist: L2

FreqList:

Store RegEQ:

Calculate

We get

Slope = a = 1.0425

Intercept = b = -3.9843

The regression equation is y = 1.0425x - 3.9843