The data set infmort from the faraway package contains information on the mortality of infants for 105 nations. The variable mortality gives the number of deaths per 1000 live births, while income is the per capita income in us dollars and region indicates the geographic area of the nation. Consider the model e(log(mortality)|income, region) = β0 + β1 log(income) + β2region + β12region ∗ log(income).
(a) State the null and alternative hypotheses for the overall f-test for this model. Perform the test and summarize results
(b) Explain the practical meaning of the hypothesis h0 : β12 = β2 = 0 in the context of the above model.
(c) Perform a test for the hypothesis in part b) and summarize your results.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).