Homework: Section 13.8 Homework Save Score: 0 of 1 pt 2 of 2 (1 complete) Hw sco

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Homework: Section 13.8 Homework Save Score: 0 of 1 pt 2 of 2 (1 complete) Hw score: 0%, 0 of 2 pts 3.8.63 Question Help * Data were collected for the box office gross (in millions) for each of 30 movies and the number of DVDs sold (in thousands). The box office gross can be used to predict the number of DVDs sold by the prediction line Y-136.8+4.675X,. A company is about to release a movie on DVD that had a box office gross of $60 million. For these data, SYK-44.892.63, and SSX-30. Complete parts (a) through (c). a. What is the predicted number of DVDs that the company will sell? Yx-60143.7 thousands b. Which interval is more useful here, the confidence interval estimate of the mean or the predicted interval for an individual response? Explain. OA. Since the value of the mean is known, the confidence interval estimate of the mean is more useful. B. Since there is more variation in estimating a mean value than in predicting an individual value, the confidence interval is more useful. C Since there is less variation in predicting an individual value than in estimating a mean value, the prediction interval or an in a response is more useful. yD. Since a prediction about an individual value is desired, the prediction interval for an individual response is more useful. C. Construct a 90% interval of the type selected in (b) when a movie had a box office gross of $60 million. thousands SYxs 60 S thousands (Round to two decimal places as needed.) X- 60

Explanation / Answer

c) 99.61 thousands <= yx=60 <= 187.79 thousands

x             = 60 predcited value at X=60: 143.7000 std error confidence interval= s*(1/n+(x0-x)2/Sxx) = 25.9184 for 90 % CI value of t= 1.7011 margin of error E=t*std error                            = 44.0906 lower confidence bound=sample mean-margin of error = 99.609 Upper confidence bound=sample mean+margin of error= 187.791

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