Find the linear regression line for a scatterplot formed by the points (10, 261), (21, 252), (42, 209), (33, 163), and (52, 98). Round to the nearest tenth.

Kye 2021-01-31 Answered
Find the linear regression line for a scatterplot formed by the points (10, 261), (21, 252), (42, 209), (33, 163), and (52,98). Round to the nearest tenth.
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Expert Answer

Arnold Odonnell
Answered 2021-02-01 Author has 109 answers

Step 1
The first value in each point represents the x-value, while the second value in each point represents the y-value.
xy102612125242209331635298
Press on the Stat-button and then on press on ENTER (by which we will select 1:Edit...).
Enter the x-value in the list L1 and enter y-values in the list L2.
Next press on STAT, press right (to select the CALC-tab), press down three times until 4:LinReg (ax + b) is selected and then press on ENTER.
Next press 2nd and STAT (to open the LIST-menu) and press ENTER to select 1:L1.
Next press on "," (comma). Then press 2nd and STAT (to open the LIST-menu), press down once and press ENTER to select 2:L2.
LReg(ax + b) L1, L2
Finally, press enter again.
Result graphing calculator:
y=ax + b
a= 3.5358
b=308.3322
r2=0.7583
r= 0.8708
Step 2
Thus a  3.54 and b  308.33 in y=ax + b
y=ax + b= 3.54x + 308.33

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