Find the equation y = Po + B,x of the least-squares line that best fits the given data points. (4,3), (5,2), (7,1), (8,0) The line is y =O+ ()x. (Type integers or decimals.)

Each month for several months, the average temperature in °C (x) and the number of pounds of steam (y) consumed by a certain chemical plant were measured. The least-squares line computed from the resulting data is y = 245.82 + 1.13x. Predict the number of pounds of steam consumed in a month where the average temperature is 65°C. If two months differ in their average temperatures by 5°C, by how much do you predict the number of pounds of steam consumed to differ?

Find the least-squares line y= Bo + B,x that best fits the data (- 4,0), (- 1,0), (0,2), (1,5), and (4,5), assuming that the first and last data points are less reliable. Weight them half as much as the three interior points. The least-squares line is y=+ x. (Simplify your answers.)

Find the equation y = 0 + ẞ₁x of the least-squares line that best fits the given data points. (-2,0), (1,3), (0,4), (1,6)

For the given data (0, 1), (1, 1), (2, 3), (3, 5) find the line y = ao + a1x that best fits the data in the least square sense.

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Find a least-squares best fit line for the points (1, 1), (2, 5), (3, 5). Write your answer as a function of x.

Find the equation y = ẞo + B₁x of the least-squares line that best fits the given data points. (3,6), (4,4), (6,2), (7,0)