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n!_1. Question Viewer rive Data and Summary Statistics Capacity (in TB) Price (in $) 0.5 60.49 1.0 79.49 2.0 113.45 3.0 114.55 4.0 145.99 6.0
n!_1. Question Viewer rive Data and Summary Statistics Capacity (in TB) Price (in $) 0.5 60.49 1.0 79.49 2.0 113.45 3.0 114.55 4.0 145.99 6.0 421.00 8.0 590.49 12.0 1078.45 32.0 4460.49 X =7.611 y = 784.933 SD(X) = 9.85 SD(y) = 1418.50 r = 0.987Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB = 1000 gigabytes, or about a frillion bytes. A survey of prices for external disk drives found the data shown to the right. For this data, we want to predict Price from Capacity. Complete parts a through i below. EE Click the icon to view the disk drive data and summary statistics. Viewer a) Find the slope estimate, b,. by = D (Round to two decimal places as needed.) b) What does the slope mean, in this context? It indicates the additional capacity in TB for each additional dollar of price. It indicates the additional price in dollars for each additional TB of capacity. It indicates the price for a hard drive with no capacity. This could be interpreted as the cost of the parts common to all drives. It indicates the additional capacity in gigabytes for each additional dollar of price. moowp It is meaningless and should not be interpreted. c) Find the intercept, bg. by = |_| (Round to two decimal places as needed.) d) What does the intercept mean, in this context? Is it meaningful? (O A. ltindicates the additional capacity in TB for each additional dollar of price. It is meaningful in that it could be interpreted as the cost of the parts common to all Arivac Question Viewer () B. lItindicates the capacity for a hard drive that does not cost anything. It is meaningless and should not be interpreted. O c. It indicates the capacity for a hard drive that does not cost anything. It is meaningful in that it could be interpreted as the minimum capacity for all drives. (O D. ltindicates the price for a hard drive with no capacity. It is meaningless and should not be interpreted. e) Write down the equation that predicts Price from Capacity. Price=[ |+ ( D Capacity (Round to two decimal places as needed.) f) What would you predict for the price of a 20.0 TB disk? $D (Round to the nearest cent as needed.) g) You have found Bgis.go.n _V".e.\\fv.e.f .or $2570. According to the model, does this seem like a good buy? How much more or less would you pay compared to what the model predicts? Is paying $2570 for a 20.0 TB drive a good buy? () A. No. Because the actual price is less than the predicted price. B. Yes. Because the actual price is more than the predicted price. (O C. Yes. Because the actual price is less than the predicted price. D No. Because the actual price is more than the predicted price. How much more or less would you pay compared to what the model predicts? You would pay $|: El than what you expected to pay. (Round to the nearest cent as needed.) h) Does the model overestimate or underestimate the price? (O A. It overestimates the price. (O B. It underestimates the price. i) The correlation is very high. Does this mean that the model is accurate? Use the scatternlot shown helow. Question Viewer (O A. The model might not be accurate because there are more than 5 data points. (O B. The model might not be accurate because there is an extreme outlier. () C. The model might not be accurate because there are less than 20 data points. (O D. The model is accurate because it has a very high correlation. Cost Capacity (TB)
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