Question

In: Statistics and Probability

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.

Solutions

Expert Solution

The statistical software output for this problem is :

(a)

y hat = 8 + 0.8 x

Predicted value = 8 + 0.8 * 20 = 24


Related Solutions

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 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 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.
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)
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 7 11 15 The estimated regression equation for these data is ŷ = 1 + 2.6x. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE SST SSR Compute the coefficient of determination r2 (to 3 decimals). Does this least squares line provide a good fit? Compute the sample correlation coefficient (to 4 decimals).
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 11 13 Round your answers to two decimal places. a. Using the following equation: Estimate the standard deviation of ŷ* when x = 4. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x = 4. to c. Using the following equation: Estimate the standard deviation of an individual value of y...
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 6 12 14 Round your answers to two decimal places. a. Using the following equation: Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Estimate the standard deviation of an individual value of y...
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 6 12 14 a. Using the following equation: 12.32a.jpg Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: 12.32b.jpg Develop a 95% confidence interval for the expected value of y when x = 3. c. Using the following equation: 12.32c.jpg Estimate the standard deviation of an individual value of y when x = 3. d....
Given are five observations for two variables, xi yi 1 3 2 8 3 5 4...
Given are five observations for two variables, xi yi 1 3 2 8 3 5 4 11 5 14 Round your answers to two decimal places. a. Estimate the standard deviation of ŷ* when x = 4. 2 b. Develop a 95% confidence interval for the expected value of y when x = 4. c. Estimate the standard deviation of an individual value of y when x = 4. d. Develop a 95% prediction interval for y when x =...
1.-Given are five observations for two variables, x and y. xi 1 2 3 4 5...
1.-Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 4 10 15 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 =(Σ(xi − x)(yi − y))/Σ(xi − x)2 and b0 =  y − b1x. (e)Use the estimated regression equation to predict the value of y when x = 2. 2.-Companies in the U.S. car rental market vary greatly in terms of the size of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT