For the following data: Find the regression equation for predicting Y from X (Provide your work)....

For the following data:

Find the regression equation for predicting Y from X (Provide your work).
Use the regression equation to find a predicted Y for each X.
Find the difference between the actual Y value and the predicted Y value for each individual, square the differences, and add the squared values to obtain SS_residual.
Calculate the Pearson correlation for these data. Use r² and SSy to compute SS_residual. You should obtain the same value as in part c.
Now use SPSS to determine the regression equation, r, r², and SS_residual. (Provide the SPSS output tables.)

X	Y
3	2
5	6
4	9
2	3
5	6
5	4

Expert Solution

orchestra answered 1 year ago

For the following data, find the regression equation for predicting Y from X X Y 1...

For the following data, find the regression equation for predicting Y from X X Y 1 2 4 7 3 5 2 1 5 8 3 7 1a. Group of answer choices a. Ŷ = -2X + 8 b. Ŷ =2X + 8 c. Ŷ =1.8X - 0.4 d. Ŷ =1.8X + 0.4 1b. For the following scores, find the regression equation for predicting Y from X X Y 3 8 6 4 3 5 3 5 5 3

D. Find a linear (regression) equation with following data. x y 70 25 65 20 60 ...

D. Find a linear (regression) equation with following data. x y 70 25 65 20 60 30 50 35 45 40 Ans.: y = ( ) + ( ) * x. Show your work.

Find the regression equation using the following set of data with y as the response variable....

Find the regression equation using the following set of data with y as the response variable. x y 40.2 82.2 54.2 111.8 43 84.3 30.7 68.5 33 90.8 42.8 78.5 30.9 71.7 28.6 69.8 36.6 83.1 41.1 93.9 26.6 63.9 45.5 95.5 What is the correlation coefficient? use three decimal places. r = What is the regression line equation. Use each value to three decimal places. ˆyy^ = + x What is the predicted value of the response variable, when using a...

Determine the regression equation (write the regression equation) of the following data, where Y is the...

Determine the regression equation (write the regression equation) of the following data, where Y is the dependant variable and X is the predictor: X Y 5 85 4 103 6 70 5 82 5 89 5 98 6 66 6 95 2 169 7 70 7 48 b) Interpret the regression coefficients. c) Graph the regression line. d) Use the regression equation to predict Y for X=3. e) Compute the coefficient of determination. f) Interpret the coefficient of determination. g)...

9) Use the following data to estimate a linear regression equation between y and x. Interpret...

9) Use the following data to estimate a linear regression equation between y and x. Interpret the estimated slope coefficient. Predict y for an x value of 9. Calculate and interpret the model’s R-squared. x y 21 12 17 10 11 8 3 5 13 15

a. Develop an estimated regression equation for the data of the form y-hat = bo + b1 x.

Consider the following data for two variables, X and Y X 6 29 21 15 24 Y 10 30 22 14 25 a. Develop an estimated regression equation for the data of the form y-hat = bo + b1 x. Comment on the adequacy of this equation for predicting y . Enter negative value as negative number. The regression equation is Y = [ ] + [ ] X (to 2 decimals) S = [ ] (to 3 decimals)...

Find the regression equation for the following data set x 143 167 143 189 175 174...

Find the regression equation for the following data set x 143 167 143 189 175 174 134 155 y 20 80 72 69 44 59 51 63 -0.33x + 5.23 0.33x – 5.23 0.33x + 5.23 cannot be determined

The estimated regression equation for predicting the number of speeding tickets from a driver’s age is...

The estimated regression equation for predicting the number of speeding tickets from a driver’s age is given as Y = 5 – 0.06X. For every year older an individual gets, the estimated number of speeding tickets Need to know which is the answer: Increases by 5 tickets Decreases by 5 tickets Decreases by 0.06 tickets

The linear regression equation for predicting poverty (%) from the high school graduation rate (%) is...

The linear regression equation for predicting poverty (%) from the high school graduation rate (%) is as follows: ˆ y = 29 -0.2*x High school graduation rate for North Carolina is 22% and the poverty rate is 29.5%. Find the residual for this observation (round your answer to one decimal place)

Provide an appropriate response. The regression equation predicting the average weight of a male aged 18-24...

Provide an appropriate response. The regression equation predicting the average weight of a male aged 18-24 (y) based on his height (x) is given by = -172.63 + 4.842x. What is the best prediction for the weight of a male aged 18-24 who is 70 inches tall? Round your answer to the nearest pound. 399 70 166 -y-

Question