Question

In: Statistics and Probability

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.

Expert Solution

Solution:

Given:

We are given following data set, we have to find a linear (regression) equation with following data.

x	y
70	25
65	20
60	30
50	35
45	40

Regression equation is :

where

Thus we need to make following table:

x	y	x^2	xy
70	25	4900	1750
65	20	4225	1300
60	30	3600	1800
50	35	2500	1750
45	40	2025	1800

Thus

and

where

Thus

( Round final answer to specified number of decimal places)

orchestra answered 3 years 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

Given n=10, x=20,∝=0.01: Based on the data the regression equation is given by y=70+1.03x, y ̅=74...

Given n=10, x=20,∝=0.01: Based on the data the regression equation is given by y=70+1.03x, y ̅=74 and r=.25. What is the best predicted value for x?

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

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 SSresidual. Calculate the Pearson correlation for these data. Use r2 and SSy to compute SSresidual. You should obtain the same value as in part c. Now...

find p(65<X<70)

Find the general solution of the following second order linear equation. y'' + y = tan(x)

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)...

Given the following table: Probability X Y 20% 15% 30% 60% 25% 18% 20% 30% 20%...

Given the following table: Probability X Y 20% 15% 30% 60% 25% 18% 20% 30% 20% Calculate a) the covariance of X and Y, and b) the correlation coefficient. Select one: a. a) -20.64% b) -0.90 b. a) -20.18% b) -0.88 c. a) -17.89% b) -0.78 d. a) -19.20% b) -0.84 e. a) -18.35% b)-0.80

estimate the following linear regression equation using the data below: y=B0+B1X In this exercise, you need...

estimate the following linear regression equation using the data below: y=B0+B1X In this exercise, you need to estimate ŷ values for given y and x values using Excel. What are the estimated values of B0 and B1 ? x = 2, 4, 6, 8, 10 y = 10, 12, 20, 25, 40 ŷ =