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Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB = 1000 gigabytes, or about a trillion
Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB = 1000 gigabytes, or about a trillion bytes. Asearch of prices for external disk drives on a large shopping website in a recent year found the accompanying data. The data are known to have a strong, positive, gentlycurved pattern with no outliers. Researchers want to predict Price from Capacity. Complete parts a) through h) below. a) Find the slope estimate, b1 and interpret it in words. DISk Drive Data Find the slope estimate. b = Capacity (TB) Price (3) 1 0.5 60.99 (Round to two decimal places as needed.) 1 79.99 Interpret the slope estimate. 3 1 11:; 4 147.99 The slope estimate means that an additional |:| is associated with, on average, an additional |:| |:| 6 423.34 (Round to two decimal places as needed.) 3 595-11 12 1079.99 b) Does the slope seem reasonable? Explain. 32 4462 The slope |:| reasonable because it El close to the differences in El in disk drives that are one El apart. c) Find the intercept, b0. m bo = (Round to two decimal places as needed.) d) What does it mean, in this context? Is it meaningful? The intercept means that, on average, a hard drive This meaningful because it (Round to two decimal places as needed.) e) Write down the equation that predicts Price from Capacity. (Round to two decimal places as needed.) f) What would one predict for the price of a 4.0-TB disk? (Round to the nearest cent as needed.) g) What is the value of the residual found in part f? (Round to two decimal places as needed.) h) Did the model overestimate or underestimate the pricing? The model the pricing because the residual is
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