What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Dahlia is interested in how depression impacts willingness to exercise and go to the gym. In order to do this, she has to have a large sample size, so she decides to send out a survey to all college students at SUNY Cortland. Once she receives 80% of the surveys back from the students she begins to record the data. Because of the responses to her questionnaires, she will not have normally distributed data. In this case, what might be the best statistical test to use to determine whether going to the gym/willingness to exercise is impacted by depression? Why?

Johnson and Leone describe an experiment to investigate the warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data are as follows: Temperature (°C) 50 75 100 Copper Content (%) 40 60 80 100 17 20 12 9 16 12 21 17 21 16 24 21 18 13 18 21 ZZFEHERRE 23 22 27 17 27 31 30 23 29 31 12 25 23 23 28 22 125 Source: Applied Statistics and Probability for Engineers, 6th Edition, Douglas, C. Montgomery & George, C. Runger. 1. Draw and interpret the interaction plot. ii. Is there any significant interaction between the factors? Use a = 0.05. ii. Can your interpretation in (i) be validated in (ii)? Twelve plants are randomly

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x  12.3 28.6  24.5 14.3  7.5   27.7 16.2 20.1y   23   72     39      23    15    30    15    25   a) Compute r. (Round your answer to four decimal places.)

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25   (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and…

You are given the following data, where X1X1 (final percentage in math class) and X2X2 (number of absences) are used to predict YY (standardized math test score in fifth grade):  YY X1X1 X2X2 375 88 3 480 98 0 310 61 5 450 89 1 345 70 3 410 72 1 465 92 2 350 70 3 370 75 4 390 80 1 420 80 2 350 78 3 415 95 2 Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to 3 decimal places:     Intercept:   a=      Partial slope X1X1:   b1=      Partial slope X2X2:   b2=  Report sum of squares accurate to 3 decimal places:      SSreg=      SSTotal= Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places):     F-ratio =      P-value = Report the variance of the residuals accurate to 3 decimal places:     MSres= Report the results for the hypothesis test for the significance of the partial slope for number of absences…