Statistics question using calculator: INSTRUCTIONS: 1. Clear all lists under STA
ID: 3204756 • Letter: S
Question
Statistics question using calculator:
INSTRUCTIONS:
1. Clear all lists under STAT EDIT in your calculator.
2. Enter the following list of numbers as L1 in the STAT menu (under STAT EDIT):
53, 55, 64, 68, 81, 85, 85, 88, 89, 95, 97, 100
3. Enter the following list of numbers as L2 in the STAT menu (under STAT EDIT):
15, 12, 6, 8, 11, 15, 2, 3, 5, 5, 7, 1
4. Find the 1-var Stats for L1 (see instructions on calculator protocols), and write down the following summary statistics (mean, sum of the values, sum of the squared values, minimum, maximum, median, Q1, and Q3) for the values in list L1 as follows:
List L1 mean = , sum of values = , etc.
Do the same for list L2.
Now follow the directions on the calculator protocols page for finding 2-var Stats for L1 and L2 as given above. That is, do not change the data sets. Be sure to set your calculator to DiagnosticOn as directed.
Write down the value for Sy.
Now follow the directions for finding LinReg(ax+b) under STAT CALC.
Write down the value of r to 2 decimal places.
Explanation / Answer
Step 1: Find the mean. (X¯)
In this example: X¯=Sumx/n=80.
Step 2: Create the following table.
Step 3: Find the sum of numbers in the last column to get.
(xiX¯)2=2864
Step 4: Calculate using the above formula.
=sqrt((xiX¯)2/n1)=sqrt(2864/121)=16.1358
L2
Step 1: Find the mean. (X¯)
In this example: X¯=7.5.
Step 2: Create the following table.
Step 3: Find the sum of numbers in the last column to get.
(xiX¯)2=253
Step 4: Calculate using the above formula.
=sqrt((xiX¯)2/n1)=sqrt(253/121)4.7958
data data-mean (data - mean)2 53 -27 729 55 -25 625 64 -16 256 68 -12 144 81 1 1 85 5 25 85 5 25 88 8 64 89 9 81 95 15 225 97 17 289 100 20 400