Using Statistical evidence to show answer

Please complete all parts of all problems. Show all work, including the general computational formula for any required calculations. Partial credit will be awarded where appropriate. 1. A researcher is interested in the factors that influence the monthly food expenditures for college students living in off campus housing. The researcher believes that several factors might influence the monthly food spending. These include the number of students living in the off campus housing (X1); the number of meals eaten outside the residence (X2); and a dummy variable (X3) that has a value of 1 if any student in the house is on a special diet and a value of zero if it is not. a) Prior to the analysis, the researcher asks you to determine what kind of relationship should exist between the variables listed below and the dependent variable. Please discuss your expectations for relationship between each independent variable below and monthly food spending. One well written sentence should justify your expected sign for the coefficient. (3 pts each-6 pts tota i) number of students living in the house (X1) ii) special diet or not (X3)Problem 1, continued You collect data on thirty (30) off campus houses, enter this data into Excel, and obtain the following results (where the figures in parentheses are the corresponding standard errors of the coefficients): Y hat = 150.08 + 49.92 X1 + 10.12 X2 - 3.60 X3 (53.60) (9.6) (2.2) (12.0) R2 = 0.6045 and SS (total) = 5092.29 b) Do these results conform to your expectations provided in part (a) on the previous page? Which do and which do not? Use statistical evidence to support your answer. Use alpha = .05 i) number of students living in the house (6 pts) A hospital develops of be the number of admitte andent variables Below fair #Beds ii) special diet or not (6 pts) his 0:3536 0.5430 0.4326 0.8301 0.3121 ersonnel 0.5548 68023 0.5362 al Acorrelation usca to diagnose what problem? iii) Interpret the coefficient of multiple determination (4 pts)Problem 1, continued d) Construct (6 pts) and interpret (3 pts) a 95% confidence interval for the slope coefficient relating the number of students to the monthly food spending