A textile company, wanting to know the effect of temperature on the tearing strength of a fiber, obtained the data shown in the following table.

(a) Draw a scatter plot to verify that a straight line will provide a good fit to the data, draw a straight line by eye, and use it to predict the tearing strength one can expect when the temperature is \(29^{\circ} \mathrm{C}\).

(b) Fit a straight line to the given data by the method of least squares and use it to predict the tearing strength one can expect when the temperature is \(29^{\circ} \mathrm{C}\).

Transcribed Image Text:

Temperature (C) Tearing strength (g) x Y 22 22 20 1,600 1,700 25 2,100 35 2,500 18 1,550 29 29 2,600 31 2,550 16 1,100 13 1,050 48 443 2,650