Question

Q.4.12. Typographical errors. Shown below are the number of galleys for a manuscript (X) and the total dollar cost of correcting typographical errors (Y) i a random sample of recent

orders handled by a firm specializing in technical manuscripts. Since Y involves variable costs only, an analyst wished to determine whether regression-through-the-origin model (4.10) is appropriate for studying the relation between the two variables.

i: 1 2 3 4 5 6 7 8 9 10 11 12

Xi: 7 12 10 10 14 25 30 25 18 10 4 6

Yi: 128 213 191 178 250 446 540 457 324 177 75 107

a. Fit regression model (4.10) and state the estimated regression function.

b. Plot the estimated regression function and the data. Does a linear regression function through the origin appear to provide a good fit here? Comment.

Answer #1

a.

Sum of *X* = 171

Sum of *Y* = 3086

Mean *X* = 14.25

Mean *Y* = 257.1667

Sum of squares (*SS _{X}*) = 778.25

Sum of products (

Regression Equation = ŷ =

ŷ = 17.9705

b.

As all the points lie on the line we conclude that it is a good fit.

Use the appropriate test to determine if the effect of galleys
for a manuscript (X) on the total dollar cost of correcting
typographical errors (Y) in technical manuscripts can be
justifiably represented by a regression-through-the-origin model.
Find (i) value of the test statistic, (ii) critical value at 2%
level of significance, and (iii) p-value of the test. The linear
regression function does through the origin, the estimated
regression function is Y-hat=18.0283X
show me the R code please.
Y X
128.0...

home / study / math / statistics and probability / statistics
and probability questions and answers / use the appropriate test to
determine if the effect of galleys for a manuscript (x) on the
...
Question: Use the appropriate test to determine if the
effect of galleys for a manuscript (X) on the total ...
Use the appropriate test to determine if the effect of galleys
for a manuscript (X) on the total dollar cost of correcting
typographical errors (Y)...

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