SOLUTION: 1. Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4? X -5 -3 4 1 -1 -2 0 2 3 -4 Y -10 -8 9 1 -2 -6

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4? X -5 -3 4 1 -1 -2 0 2 3 -4 Y -10 -8 9 1 -2 -6      Log On


   



Question 533820: 1. Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
X -5 -3 4 1 -1 -2 0 2 3 -4
Y -10 -8 9 1 -2 -6 -1 3 6 -8


Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The newer TI-84 calculators are a little different from the older ones.
The first and last part is the same on all of them.  I'll let you know 
when they differ:

On your TI-84, 

Press CLEAR

Press Y=

clear anything that's there

Press the up arrow to highlight Plot1

Press ENTER

Press STAT
Press 1

Enter the X values in L1
Enter the Y values in L2

Press STAT
Press the right arrow
Press 4

Now here is where they differ.

On the older versions you will see: |  On the newer versions you will see:
                                    |             
          LinReg(ax+b) ∎            |           LinReg(ax+b)
Press VARS                          |         Xlist:L1 
Press the right arrow               |         Ylist:L2
Press 1                             |         FreqList: 
Press 1                             |         Store RegEQ:
                                    |         Calculate
You should see                      |         
                                    | Press the down arrow 3 times to
         LinReg(ax+b) Y1            | get cursor beside  Store RegEQ:∎
                                    | Press ALPHA
                                    | Press TRACE
Press ENTER                         | Press ENTER   (puts Y1 after the colon)
                                    | Press ENTER  
                                    | Press ENTER
-----------------------------------------------------------------------------                                    
You will see:                                    
                                     
         y=ax+b                     
         a=2.096969697              
         b=-.5515151515               
         r²=.9794161922             
         r=.9896545822              
                                    
So the equation of the regression   
line is                              

y = 2.096969697x - .5515151515
  
Press ZOOM
Press 9

You will see the regression line graphed

To predict the value when X = -2

Press 2nd
Press TRACE
Press 1

The graph comes back with X=∎
Press -2   [Use the negative sign (-) not the minus sign —]
Press ENTER

Read at bottom of screen: X=-2            Y=-4.745455

To predict the value when X = 4

Press 4

Read at bottom of screen: X=4            Y=7.8363636

Edwin