The equation for a straight line (deterministic model) is y=β0+β1x. If the line passes through the point (−6,1), then x=−6, y=1 must satisfy the equation; that is, 1=β0+β1(−6). Similarly, if the line passes through the point (8,12), then x=8, y=12 must satisfy the equation; that is, 12=β0+β1(8). Use these two equations to solve for β0 and β1; then find the equation of the line that passes through the points (−6,1) and (8,12).

Ascale drawing of a lake has a scale of 1 cm to 80 m. if the actual width of the lake is 1000 m what is the width of the lake on the scale drawing

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.