An endocrinologist was interested in exploring the relationship between the level of a steroid (Y) and age (X) in healthy subjects whose ages ranged from 8 to 25 years. She collected a sample of 27 healthy subject in this age range. The data is located in the file problem01.txt, where the first column represents X = age and the second column represents Y = steroid level. For all R programming, print input and output codes and values, data to be used is below. (Create a quadratic regression in R. Write down the fitted equation, multiple R2, and the p-value for β1 from the summary()output.

Yi =β0 + β1Xi + β2Xi2 + εi

∞ this is your sign

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.