Question

In: Statistics and Probability

Given below are seven observations collected in a regression study on two variables, X (independent variable)...

Given below are seven observations collected in a regression study on two variables, X (independent variable) and Y (dependent variable).

X

Y

2

12

3

9

6

8

7

7

8

6

7

5

9

2

a. Develop the least squares estimated regression equation.

b. State the hypotheses to test for the significance of the regression line.

c. Perform an F test to determine whether or not the model is significant. Let α = 0.05.

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable) X Y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 a. develop the least squares estimated regression equation b. At 95% confidence, perform a t test and determine whether or not the slope is significantly different from 0 c.Compute the coefficient of determination d. Develop the 95% confidence interval for the mean value of...
Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 Given the followings b1 = -1.13 SSR = 50.625 SSE= 9.376 Sb1 = .2165 a. At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero. (No excel please show steps thank you)
A) A sample of 13 observations collected in a regression study on two variables, x(independent variable)...
A) A sample of 13 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. summation (x_i-xbar)2=14, summation (x_i-xbar)(y_i-ybar)=72,    xbar=3, ybar=10 Calculate the y-intercept (b_0) of the estimated regression equation. B) A sample of 9 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. summation (x_i-xbar)2=14, summation (x_i-xbar)(y_i-ybar)=79,    xbar=3, ybar=10 Calculate the slope of the estimated regression equation.
a) A sample of 8 observations collected in a regression study on two variables, x(independent variable)...
a) A sample of 8 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=86 Calculate an unbiased estimate of the variance of the error term epsilon. b) 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. SSE=22, SSR=64 Calculate the coefficient of determination for the developed estimated regression equation. c)...
3.) Given are five observations collected in a regression study on two variables. 2 6 9...
3.) Given are five observations collected in a regression study on two variables. 2 6 9 13 20 7 18 9 26 23 Develop a scatter diagram for these data. Develop the estimated regression equation for these data. Use the estimated regression equation to predict the value of y when x=6 17.) The data from exercise 3 follow. 2 6 9 13 20 7 18 9 26 23 The estimated regression equation for these data is . What percentage of...
Given are five observations collected in a regression study on two variables. xi 2 6 9...
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 8 26 21 (a) Develop the estimated regression equation for these data. ŷ = Use the estimated regression equation to predict the value of y when x = 20.
Given are five observations for two variables, x and y. The estimated regression equation for these...
Given are five observations for two variables, x and y. The estimated regression equation for these data is y = 1 + 2.4x (A) Compute SSE, SST, and SSR (B) Compute the coefficient of determination, R^2. (C) Compute the sample correlation coefficient. x y 1 3 2 8 3 5 4 12 5 13
In a multi linear regression case study, the dependent variable is house_value, the independent variables are...
In a multi linear regression case study, the dependent variable is house_value, the independent variables are house_age, crime_rate, tax_rate, trying to build a model to predict the house value, how to state model assumptions? What's the assumption in this case? Thanks!
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat = 55.17+1.1X1 -0.153X2 Other statistics produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 = 0.33, Sb2 = 0.20. (16 points) Interpret b1 and b2 in this estimated regression equation Predict y when X1 = 65 and X2 = 70. Compute R-square and Adjusted R-Square. Comment on the goodness of fit of the model. Compute MSR and MSE. Compute F and use...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat = 55.17+1.1X1 -0.153X2 Other statistics produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 = 0.33, Sb2 = 0.20. (16 points) Interpret b1 and b2 in this estimated regression equation Predict y when X1 = 65 and X2 = 70. Compute R-square and Adjusted R-Square. Comment on the goodness of fit of the model. Compute MSR and MSE. Compute F and use...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT