Dt Tt-gt 5. Suppose a theory predicts that, Pt = the slope of the following regression? a) a = 0 and ß = 1 and p = -1 b) a = 0 and ß = 1 and p = 1 c) a = 0 and ß = 1 and p = 0 d) a = 0 and B = -1 and p = 1 9t = a + ß. what restriction does this theory imply about = a + B = =+ + $₁ +ørt + Et

Let kids denote the number of children ever born to a woman, and let educ denote years of education for the woman. A simple model relating fertility to years of education is: kids; = Bo + B1educ; + uż. 1. What are the parameters in the model? 2. What kinds of factors are contained in u? Are these likely to be cor- related with level of education? 3. Will a simple regression analysis uncover the ceteris paribus effect of education on fertility? Explain.

The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!

The following linear regression model can be used to predict ticket sales at a popular water park. Ticket sales per hour = - 631.25 + 11.25(current temperature in °F)23) Choose the statement that best states the meaning of the slope in this context. A)  The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets. B)  The slope tells us that high temperatures are causing more people to buy tickets to the water park. C)  The slope tells us that if ticket sales are decreasing there must have been a drop in temperature. D)  None of these

Please show work in excel   Stars Co. wants to advertise its products in the hope that more advertising will result in more sales.  The following data have been collected in the past year showing money spent on advertising in a month and sales on the same month:  a) Develop a regression equation to forecast the Sales as a function of the Advertising by drawing a scatter chart in Excel.  b) Suppose that the company would like to advertise in the amount of 30 thousands. Estimate the Sales in response to this amount of advertising.   Month Sales (Thousands) Advertising (Thousands) Jan 1200 30 Feb 1100 25 March 1220 32 April 990 23 May 1190 31 June 1050 24 July 770 22 Aug 1080 28 Sept 1220 33 Oct 1140 25 Nov 740 19 Dec 790 20

A well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff.  Below are the estimated regression equations.Faculty (n = 170): ŷ = 60 + 1.1xAdmin. (n = 155): ŷ = 57 + 1.5x a) How much would a faculty member be earning after 5 years of service? b) In how many years will an administrator earn the same amount as in a)?

The quadratic regression equation shown below is for a sample of n=22. a. Predict Y for X1=3.     ​(Type an integer or a​ decimal.)

Consider the sample regression equation that predicts the calorie content in a hamburger (in cals) using the fat content (in grams) yi = 310+14.4 (fati) + ei Which of the following statements is correct regarding the estimated equation?   a)  a.   the equation is expressing a non-linear relationship between fat and calories   b)  b.   a hamburger with 310 calories has zero fat content      c)  c.   a hamburger’s calorie content rises by about 14.4 grams for every additional gram of fat   d)  d.   the ei is called the stochastic error term, and is a representation of those factors that cause fat content that the regression is not accounting for

Assume there is a positive linear correlation between the variable R (Return rate in percent of a financial investment) and the variable t (age in years of the investment) given by the regression equation R= 2.3t + 4.8  A. Without further information, can we assume there is a cause-and-effect relationship between the return rate and the age of the investment? B. If the investment continues to grow at a constant rate, what is the expeted return rate when the investment is 7 years old? C. If the investment continues to grow at a constant rate, how old is the investment when the return rate is 30%?