For y = number of times used public transportation in previous week and x = number of cars in family (which takes value 0, 1, or 2 for the given sample), explain the difference between conducting a test of independence of the variables using the ANOVA F test for comparing three means and using a regression t test for the coefficient of the number of cars in an ordinary regression model with a linear effect for the number of cars (e.g. treating number of cars as a numeric variable). Give an example of three population means for which the regression test would be less appropriate than the ANOVA test. (Hint: What does the regression linear model with numeric number of cars assume that the ANOVA F test does not?).
For y = number of times used public transportation in previous week and x = number...
For y = number of times used public transportation in previous week and x = number of cars in family (which takes value 0, 1, or 2 for the given sample), explain the difference between conducting a test of independence of the variables using the ANOVA F test for comparing three means and using a regression t test for the coefficient of the number of cars in an ordinary regression model with a linear effect for the number of cars...
Match the study with the best hypothesis test that could be used to
evaluate the research question.Do exercise supplements improve the
effect of training among amateur runners? 112 amateur runners were
enrolled in a study in which they ran using a proven 12-week 5km
race training plan. At the beginning of the 12-week study, they ran
a 5km race, their finishing times were recording; they repeated the
same race at the end of the 12-week study. Half of the enrolled...
1. In order to test whether the multiple linear regression model y bo +b,x1 + b2X2 is better than the average model (lazy model), which of the following null hypotheses is correct: a. Ho' b1 = b2 = 0 Но: B1 B2-0 с. We have a dataset Company with three variables: Sales, employees and stores. To build a multiple linear regression model using Sales as dependent variable, number of stores and number of employees as independent variables, which of the...
While conducting a one-way ANOVA comparing 6 treatments with 10 observations per treatment, the computed value for SS(Treatment)= 1, and SS(Error)=24. Calculate the value of F. Round off the answer to 2 decimal digits A study was conducted to determine the association between the maximum distance at which a highway sign can be read ( in feet) and the age of the driver ( in years). Fourty drivers of various ages were studied. The summary statistics for distance and age are...
1. A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called a. an interaction b. a constant variable c. a dummy variable d. None of these alternatives is correct. 2. adjusted multiple coefficient of determination is adjusted for a. the number of dependent variables b. the number of independent variables c. the number of equations d. detrimental situations 3. A variable such as...
2. This week, we studied the test score Y versus number of hours, X, spent on test preparation, of a student in a French class of 10 students with the collected results shown below Number of hours studied Test score 31 10 14 73 37 12 60 91 21 84 17 (a) Use linear normal regression analysis method or the least-squares approximation method to predict the average test score of a student who studied 12 hours for the test (b)...
Number of Pounds of Bananas Sold Produce (1Milk Cereal 35 42 38 47 39 30 35 47 36 41 29 Print Done esis and conclude that the average number of pounds of bananas sold different in these three locations. The data in the table show the number of pounds of bananas sold per week at a grocery store when the banana display was positioned in the produce, milk, and cereal sections of the store a) Perform a one-way ANOVA using...
(1 point) Family transportation costs are usually higher than most people believe. Eighteen randomly selected families in three major cities are asked to use their records to estimate a monthly figure for transportation cost. Use the data obtained and ANOVA to test whether there is a significant difference in monthly transportation costs for families living in these cities. Use a = 0.05. Edmonton 650 480 550 600 675 540 TE Toronto Vancouver 250 850 525 700 950 175 780 500...
Ignore Number 6
5. A sample of 30 houses that were sold in the last year was taken. The value of the house (y, in dollars) was estimated. The independent variables included in the analysis were the number of rooms (xi), the size of the lot (x2, in sq ft), the number of bathrooms (x3), and a dummy variable (x4), which equals 0 if the house does not have a garage and equals 1 otherwise. The following regression results were...
1. (4pt) A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called a. a constant variable b. a dummy variable c. an interaction d. None of these alternatives are correct. 2. (4pt) The model y = Bo + B1X1 + B2X2 +E is called a. First-order model with one predictor variable b. First-order model with two predictor variables c. Second-order model with two...