Find the equation for the least squaresregression line of the data described below.The owner of a restaurant wouldlike to expand the menu but isconcerned that this may detractfrom the quality of the food. Overthe next few weeks, he varies thenumber of dishes on the menuand asks his customers to fill outcomment cards.Each week he notes the numberof dishes offered, x, as well as theaverage customer satisfactionrating on a scale of 1 to 10, y,where 10 is excellent.Dishes Rating158101623244255Round your answers to the nearest thousandth.y =X +

Given that X Y 15 8 16 10 23 6 24 4 25 5 SSxx=∑X2-(∑X)2/n SSxy=∑XY-(∑X∑Y)/n Mean of…

Answered: Each week he notes the number of dishes…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) (a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth. y= ? (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. ? cm
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas use y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day’s degree-days are the number of degrees its average temperature falls below 65F) over a 23-month period. He then computed the least squares regression line for predicting y from x and found it to be, ŷ=85+16x How much, on average, does gas used increase for each additional degree-day? The predicted amount of gas used when the outside temperature is 20 degree- days.
The amount (in millions of dollars) of used autos sold online in a certain country from 2011 to 2015 is given in the following table (x = 0 corresponds to 2011). Year, x 0 1 2 3 4 Sales, y 12.9 13.9 14.65 15.25 15.85 (a) Find an equation of the least-squares line for these data.y = (b) Use the result of part (a) to estimate the sales of used autos online in 2016, assuming that the predicted trend continued. (Round your answer to one decimal place.)$ million
(a) Find the equation of the least-squares line for the data. (Round all numerical values to two decimal places.) y= ?
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used ? (in cubic feet) to heat the home and outside temperature ? (in degree‑days, where a day’s degree‑days are the number of degrees its average temperature falls below 65 ∘F ) over a 23-month period. He then computed the least‑squares regression line for predicting ? from ? and found it to be ?̂ =85+16?. By looking at the equation of the least‑squares regression line, you can see that the correlation between amount of gas used and degree‑days is

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Each week he notes the number of dishes offered, x, as well as the average customer satisfaction rating on a scale of 1 to 10, y, where 10 is excellent. Dishes Rating 15 8 16 10 23 6 24 4 25 5 Round your answers to the nearest thousandth. y = x +