Consider the regression ln yi = β0 + β1xi + i . (a) how would you derive the formulas to estimate β0 and β1? [note: no need to derive the formulas] (b) suppose you estimated βˆ 0 = 0, βˆ 1 = 1. suppose the standar error of βˆ 0 is 1 and the standard error of βˆ 1 is 2. how would you go about computing the standard error of the prediction of y at x = 1?

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

The function y= x - 4x+ 5 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence post to another. all distances are in feet. complete the square to find and interpret the extreme value (vertex). select two answers: one extreme value and one interpretation.