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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Find the least squares regression line for the points (1, 2), (3, 3), (6, 4), (8, 6), and (11,7). Then plot the points and sketch the regression line.

To determine

To calculate: The regression line for the points (1,2),(3,3),(6,4)(8,6) and(11,7) and then plot the points and sketch the graph.

Explanation

Given Information:

The points given are (1,2),(3,3),(6,4)(8,6) and(11,7).

Formula used:

The least square regression line for points (x1,y1),(x2,y2)...,(xn,yn) is given by:

y=ax+b

Where,

a=ni=1nxiyii=1nxii=1nyini=1nxi2(i=1nxi)2b=1n(i=1nyiai=1nxi)

Calculation:

Consider the statement,

Then,

i=15xi=1+3+6+8+11=29

And

i=15yi=2+3+4+6+7=22

Now,

i=15x2

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