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. A survey of prices for external disk drives found the data shown to the right. For thisdata, we want to predict Price from Capacity. Complete parts a through h.

Capacity(in TB)	Price(in $)
	0.0700.070	20.0020.00
	0.0800.080	29.0029.00
	0.2300.230	50.0050.00
	0.4800.480	71.4971.49
	1.01.0	142.79142.79
	3.03.0	348.00348.00
	4.04.0	404.55404.55

a) Find the slopeestimate,b 1b1.b 1b1equals=nothing(Round to two decimal places asneeded.)b) What does itmean, in thiscontext?

A.

It indicates the additional capacity in TB for each additional dollar of price.

B.

It is meaningless and should not be interpreted.

C.

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.

D.

It indicates the additional capacity in gigabytes for each additional dollar of price.

E.

It indicates the additional price in dollars for each additional TB of capacity.c) Find theintercept,b 0b0.b 0b0equals=nothing(Round to two decimal places asneeded.)d) What does itmean, in thiscontext? Is itmeaningful?

A.

It indicates the price for a hard drive with no capacity. It is meaningful in that it could be interpreted as the cost of the parts common to all drives.

B.

It indicates the additional capacity in TB for each additional dollar of price. It is meaningful.

C.

It indicates the capacity for a hard drive that does not cost anything. It is meaningless and should not be interpreted.

D.

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.e) Write down the equation that predicts Price from Capacity.ModifyingAbove Price with caretPriceequals=nothingplus+left parenthesis nothing right parenthesisCapacity(Round to two decimal places asneeded.)f) What would you predict for the price of a 2.02.0TBdisk?$nothing(Round to the nearest cent asneeded.)g) You have found an average 2.02.0TB drive for $200200. Is this a goodbuy? How much more or less would you pay compared to what you expected topay?Is paying $200200for a 2.02.0TB drive a goodbuy?NoNoYesYesHow much more or less would you pay compared to what you expected topay?You would pay $nothing morelessthan what you expected to pay.(Round to the nearest cent asneeded.)