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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) 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. From 1, 2, 3, 4 options below, which one is correct answer?

1. (i) 0.841; (ii) 15.3187; (iii) 0.7974
2. (i) 0.0841; (ii) 17.0071; (iii) 0.9974
3. (i) 8.41; (ii) 13.0482; (iii) 0.0734
4. (i) 0.00841; (ii) 17.0071; (iii) 0.99997

show me the R code please.

Y X
128.0 7.0
213.0 12.0
191.0 10.0
178.0 10.0
250.0 14.0
446.0 25.0
540.0 30.0
457.0 25.0
324.0 18.0
177.0 10.0
75.0 4.0
107.0 6.0

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