Following are some approximate values of the Amex Gold BUGS Index. Take t to be the year since 1995 and y to be the BUGS index. Obtain a piecewise linear model of the gold BUGS index for 1995-2004. Year 1995 2000 2004 Index 200 50 250 а. 50r + 200 if 0 St55 - 30t + 200 if 5

Suppose you believe that population abundance (A) of a particular species is a linear function of vegetation coverage (V) and the presence of a predators (P). Surveys where conducted across 20 sites and found the following information: a) There was an average of cover of .406 (40.6%) of the area, with an average 6.8 predators and 61.55 individuals in our target population. b) ⟨?2⟩=0.231, ⟨? ⟩=76.300, ⟨??⟩=2.933, ⟨??⟩=36.329, ⟨??⟩=379.300 Set up the appropriate system of equations needed for a the linear regression of a model of the form ?=??+??+?. Then estimate the parameters and report the final model.

given G=             find G * GT 9 10 6 3 -2 -6 -1 -7 8

A collector of antique clocks sold at auction believes that the price received for the clocks may be modeled as a linear function of the age of the clocks and the number of bidders at the auction. After a preliminary study and collection of 32 observations, the collector came up with the following second-order model: y = BO+B₁x₁+B₂x₂ + ß3 x1x2 +B4x² +ɛ, where y: price of a clock; x₁: age of a clock; x2: the number of bidders. Considering the output below and by setting a = 0.05, answer the following questions. The regression equation is Price = 262 +2.26 Age + 14.2 Bidder + 1.13 AgeBid 4.20 Bid^2 Predictor Constant -261.7 2.260 14.21 Age Bidder AgeBid Bid^2 S = 84.512 Coef SE Coef 1.1301 -4.196 Analysis of Variance Source 404.4 2.052 R-Sq= 96.0% Variable Age Bidder AgeBid Bid^2 60.83 0.23 5.17 0.000 0.219 1.344 -3.12 0.004 R-Sq (adj) DF Regression 4 4606950 Residual Error 27 192840 Total 31 4799790 SS T P -0.65 0.523 1.10 0.280 0.817 a. Is the model useful as a whole? Apply an…