Problem 6E

In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statistics were calculated: n = 40,

a. Compute the correlation r between the degree of warping and the temperature.

b. Compute the error sum of squares, the regression sum of squares, and the total sum of squares.

c. Compute the least-squares line for predicting warping from temperature.

d. Predict the warping at a temperature of 40°C.

e. At what temperature will we predict the warping to be 0.5 mm?

f. Assume it is important that the warping not exceed 0.5 mm. An engineer suggests that if the temperature is kept below the level computed in part (e), we can be sure that the warping will not exceed 0.5 mm. Is this a correct conclusion? Explain.

1 Plsc 101 Week Eight Lecture Notes Cotton Facts scientific name = Gossypium hirsutum #1 fiber crop in the world upland cotton grown in US Texas #1 producing state (30%) grown for: cotton lint (fiber) used for: fabrics, money, carpet, twine cotton seed used for: oils, meal, animal feed, reseeding Climate avg. annual temp = >50 F needs 180200 frostfree days rainfall = 20 in (min) & 75 in (max); good distribution needs sunny weather consistent 5060% clouds is no good Botanical perennial plant (treated like an annual) 1.) flowers are white at opening & pollinate in one d