In simple linear regression analysis, which of the following is not true? The relationship between x and y is represented by a straight line. The F test and the t test yield the same conclusion. The value of F = t2. The F test and the t test may or may not yield the same conclusion.
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In simple linear regression analysis, which of the following is true? The t-test and the F-test never yield the same conclusion. The relationship between x and y is represented by a linear line. The F-test and the t-test will yield the same conclusion. The value of F is 1.
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Consider the following multiple regression model, with n = 35: y = 15 + 12x1 + 23x2; R^2 = 0.79; sβ1 = 3.8; sβ2 = 5.7 Calculate the t-test statistic to test whether x2 contributes information to the prediction of y. Group of answer choices: 3.997 The F ratio used to test for the existence of a linear relationship between the dependent variable and any independent variable is: Group of answer choices: MSR/MST MSE/MSR MSR/MSE None of the choices MSE/(n-(k + 1)) In multiple regression testing of H0: β1 = β2 = β3 = ... = βk = 0 at α = 0.05, a p-value of 0.08 would give an indication that: Group of answer choices: None of the choices The null hypothesis should not be rejected The null hypothesis should be rejected All three independent variables have a slope of zero There is a linear relationship between y and any of the three independent variables 4.035 None of the choices 5.108 3.150
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If two variables, x and y, have a strong linear relationship, then a. there may or may not be any causal relationship between x and y. b. x causes y to happen. c. y causes x to happen. d. the F test is used to conclude there is a causal relationship between x and y.
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