Consider the following regression model: y=β₁+β₂x₂+β₃x₃+β₄x₄+β₅x₅+u. The sample size is N=116. Using F test, we want to test: H₀ : β₂+β₃-β₅ =0 H₁ : O/W. The restricted and unrestricted sum of squared errors are SSEr=1013 and SSEu=905. What is the F statistics for this test.

Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.860 and the least squares regression line is y = 0.196x + 12.045. Complete parts (a) and (b) below. Beight, x 27.5 25 26 25.5 27.75 26.5 26.25 26.75 26.75 27 27.25 Head Circumference, y 17.3 17.0 17.2 16.9 17.5 17.4 17.1 17.4 17.3 17.4 17.4 (a) Compute the coefficient of determination, R². R² =% (Round to one decimal place as needed.)

Suppose a doctor measures the​ height, x, and head​ circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.895 and the least squares regression line is y=0.235x+11.045.                             ​Height, x 27 25.75 26.75 25 27.25 26.25 26 26.75 27 26.75 26.75 Head​ Circumference, y 17.4 17.0 17.3 16.9 17.5 17.4 17.2 17.3 17.3 17.3 17.3 Compute the coefficient of​ determination, R2.   R2=nothing​% ​(Round to one decimal place as​ needed.)

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: Length of service (measured in months), Gender (0 = female, 1= male), and Job type (0 = clerical, 1 = technical). The following ANOVA summarizes the %3D regression results. ANOVA Source of Variation df Sum of Squares Mean Square F Regression 3 1,004,346.771 334,782.257 5.96 Residual 26 1,461,134.596 56,197.48445 Total 29 2,465,481.367 Coefficients Standard Error t-Stat p-value Intercept 784.92 322.25 2.44 0.02 Service 9.19 3.20 2.87 0.01 Gender 222.78 89.00 2.50 0.02 Job -28.21 89.61 -0.31 0.76 The level of significance is 0.05. In the regression model, which of the following are dummy variables?

Rrr

Fifty boys and Fifty girls face off in a game of darts.  The dependent variable is the number of bulls-eye scored and the distributions were normal.  The boys averaged 5 bulls-eye/game (SD = 1.5).  The girls scored an average of 6 bulls-eye/game (SD = 2).  What is the observed value of the test statistic?   What is the critical value for the boys v. girls darts game for a two-sided research hypothesis?

A study was made of movies in 2005. For each movie, the following were recorded: its budget (the amount it cost to make, in millions of dollars), its running time (from start to finish, in minutes), and the genre (drama, comedy, action, etc.). The scatterplot below shows the budget vs. running length for all movies. Two regression lines are shown on the scatterplot, for predicting budget from running length. The lower line is for movies of the "drama" genre, while the upper line is for movies of all other genres. Which of the statements below do you most strongly agree with? (a) The difference in budget between dramas and other movies of the same length remains constant as the movies get longer. (b) Dramas cost less to make than other movies of the same length, and that difference increases as the movies get longer. (c) Dramas cost more to make than other movies of the same length, and that difference increases as the movies get longer. (d) Dramas cost more to make than other movies of…

Use the partial SAS output provided below to the question. After the variable ERA has been excluded from the model, Model 3 was tested. The partial SAS print below provides information about model 3. The estimated regression line is Wins = 72.96 + 0.64 Saves + 15.30Runs -63.53 WHIP Obs Wins ERA Saves Runs Batting HRs WHIP 26 88 3.90 48 4.21 0.259 156 1.263 True or False: The estimated value of Wins is equal to 87.85 and the residual is equal to 0.004. Which means that this data point is almost on the regression line. (use 2 decimal places) True False

Consider a regression that uses X = # of 60 pound bench press repetitions to predict Y = maximum bench press amount in pounds…..for the ith student among a sample of high school athletes.  The estimated predicted sample regression is as follows Maxi= 68.91 + .6885Repsi            *the ei is left off for simplicity   The table below lists the actual data from which the regression above was estimated.  For example, a student in the study who trained by doing 12 “60 pound reps” accomplished a maximum bench press amount of 76 pounds.   Xi Yi 12 76 15 82 17 79 3 71   Predict the average maximum bench press for a student that does 17 “60 pound reps”      a)  a.  around 68.85 pounds   b)  b.  around 85.00 pounds   c)  c.  around 80.61 pounds   d)  d.  around 68.91 pounds

A roller derby fan is trying to decide whether the Salina Sirens or the Kansas City Roller Warriors are tougher. She counts the number of injuries in a season for each player on each team and compares them. one-way independent-measures ANOVA O independent-measures t O Mann-Whitney U Osimple regression