The following data show the retail price for 12 randomly selected laptop computers along with their corresponding processor speeds in gigahertz. computers speed price1 2.0 $ 1008.502 1.6 461.003 1.6 532.004 1.8 971.005 2.0 1068.506 1.2 506.007 2.0 1098.508 1.6 693.509 2.0 1057.0010 1.6 1001.0011 1.0 468.5012 1.4 435.50a. develop a linear equation that can be used to describe how the price depends on the processor speed. (negative value should be indicated by a minus sign. round your answers to the nearest whole number.)price=+ speedb. based on your regression equation, is there one machine that seems particularly over- or underpriced? a. yes, the second laptop is underpriced. b.yes, the fourth laptop is overpriced. c.no, there is no laptop which is over- or underpriced. c-1. compute the correlation coefficient between the two variables. (round your answer to 3 decimal places.)correlation of speed and -2. state the decision rule for .05 significance level: h0: ρ ≤ 0; h1: ρ > 0. (round your answer to 3 decimal places.)reject h0 if t > -3. compute the value of the test statistic. (round your answer to 3 decimal places.)value of test -4. is it reasonable to conclude that the population correlation could be greater than zero? use 0.05 significance level. reject/do not reject h0. it is reasonable to say the population correlation is positive/negitive/zero

correct

step-by-step explanation:

answer: hence, function will be

explanation:

since we have given that

cost of a new textbook = $85

according to question, the resale value of a textbook decreases by 25% with each previous owner,

so, our function becomes,

here, y is the total value of the text book after x owners.

hence, function will be

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.