A sample of 6 observations collected in a linear regression
study on three variables, x_1(independent variable),
x_2(independent variable) and y(dependent variable). The sample
resulted in the following data.
SSR=72, SST=88
Calculate the F test statistics to determine whether a
statistically linear relationship exists between x and y.
We are given here that there are 6 observations and 3 variables, therefore n = 6 and m = 3.
The F test statistic here is computed as:
Therefore 0.3333 is the required test statistic value here.
A sample of 6 observations collected in a linear regression study on three variables, x_1(independent variable),...
A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=66, SST=85, summation (x_i-xbar)2=29, summation (x_i-xbar)(y_i-ybar)=50. Calculate the t test statistics to determine whether a statistically linear relationship exists between x and y.
Question 10 A sample of 10 observations collected in a regression study on three variables, x_1(independent variable), x_2(independent variable and y(dependent variable). The sample resulted in the following data. SSR=27, SST=36.Using a 0.01 level of significance, we conclude that the regression model is significant overall. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)
A sample of 7 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=26, SST=40 Using a 0.05 level of significance, we conclude that there is a significant linear relationship between x and y. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)
Given below are four observations collected in a regression study on two variables x (independent variable) and y (dependent variable). *NOOO a. Develop the least squares estimated regression equation. b. At 95% confidence, perform at test and determine whether or not the slope is significantly different from zero. C. Perform an F test to determine whether or not the model is significant. Let a = 0.05. d. Compute the coefficient of determination.
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...
4. Testing for significance Aa Aa Consider a multiple regression model of the dependent variable y on independent variables x1, x2, X3, and x4: Using data with n = 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: 0.04 + 0.28X1 + 0.84X2-0.06x3 + 0.14x4 y She would like to conduct significance tests for a multiple regression relationship. She uses the F test to determine whether a significant relationship exists...
In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random large sample is collected and the coefficient of correlation r = −.98 is calculated. A)Which of the following conclusion may be made? Group of answer choices x and y are almost perfectly correlated, and y increases as x is increased. x and y are almost perfectly correlated, and y decreases as x is increased. x and y are moderately...
Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 15,196.1, and SSR = 14,180.8. Round your answers to three decimal places. a. Compute R2 b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? - Select your answer -
43. A multiple regression analysis is conducted with 5 independent variables and an intercept on a sample of 100 observations. Suppose you want to conduct a hypothesis to test whether the coefficient of the first variable is statistically significant. What will be the degrees of freedom for this test? A.98 B. 99
Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 15,265.6, and SSR = 14,398.1. 113 V w Round your answers to three decimal places. a. Compute R. .943 b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? Yes