A. Find the line of best least squares fit for the data (-1,1), (0,2.1), (1,3),

Question

A. Find the line of best least squares fit for the data (-1,1), (0,2.1), (1,3), (2,4.2). Use this fit

to predict the value of y when x = 0.5.

B. Give the slope of the line of best least squares fit for the data (-1,1), (0,2.1), (1,3), (2,4.2).

C. Give the y-intercept of the line of best least squares fit for the data (-1,1), (0,2.1), (1,3),

(2,4.2).

D. Find the best least squares fit of the form y = a + bx + cx2 for the data (0,4.1), (1,1.2), (2,-

0.1), (3,1.1), (4,3.9). Use this fit to predict the value of y when x = 1.5

E. Give the y-intercept of the best least squares fit of the form y = a + bx + cx2 for the data

(0,4.1), (1,1.2), (2,-0.1), (3,1.1), (4,3.9).

Please explain your answers (A - E)

Explanation / Answer

A) y= 1.05x + 2.05

when x=.5

y=1.05(.5) + 2.05 = 2.575

B) slope = 1.05

C) y-intercept: 2.05

D) y= -.05x + 2.14

when x = 1.5

y=-.05(1.5) + 2.14 = 2.065

E) y-intercept: 2.14

I used the calculator to find the least squares regression line

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