Question

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.
Temperature x Tearing Strength (g) y
20 1600
22 1700
25 2100
35 2500
18 1550
29 2600
31 2550
16 1100
13 1050
48 2650
(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◦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◦C.
3

Answer 1

Answer:

A textile company, wanting to know the effect of tem- perature on the tearing strength of a fiber, obtained the data shown in the following table. Temperature Tearing strength 20 1,600 1,700 2,100 2,500 1,550 2,600 2.550 1.100 1,050 2,650 25 35 18 29 31 16 13 48 (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 C (b) Fit a straight line to the given data by the method of least squares and use it to predict the tear ing strength one can expect when the temperature is 29 C