ŷ = 20 + 0.8x is given for the data below. xi 70 75 80 80...

ŷ = 20 + 0.8x is given for the data below.

x_i	70	75	80	80	85	90
y_i	75	82	80	86	90	91
ŷ_i	76	80	84	84	88	92
e_i	-1	2	-4	2	2	-1

Calculate SSE, the sum of square errors.

Calculate the sample estimate of the variance for the regression model.

What value would be given in Minitab? Why?

Calculate the value of R². What does R²represent?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The estimated regression equation for these data is ŷ = 70 − 3x.

Consider the data. xi 3 12 6 20 14 yi 55 35 60 10 25 The estimated regression equation for these data is ŷ = 70 − 3x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE= SST= SSR= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = (c) Compute the sample correlation coefficient. (Round your answer...

Permissive Authoritative Authoritarian 70 70 55 90 80 80 90 90 75 90 70 67 M=85...

Permissive Authoritative Authoritarian 70 70 55 90 80 80 90 90 75 90 70 67 M=85 75 50 M=81 63 65 M=65 grand mean=75 Calculate your F ratio. [ If you could not answer any of the questions above about the SS and df values, go back now and make up numbers to fill in for those values then use those wrong numbers to find this F ratio. Those will be wrong, but this could be right based on those...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi 7 7 13 21 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b)Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 7 11 7 15 13 18 21 20 30 (c)Develop a plot of the residuals against the independent variable x. a) A residual plot has 5...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi 6 8 12 20 30 Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi − ̄x)^2 = 126, and s= 4.88. a. Compute the residuals. b. Plot the residuals against x. Do the assumptions about the error terms seem to be satisfied? c. Compute the standardized residuals.

The data is given as follow. xi 2 6 9 13 20 yi 7 18 9...

The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)?

Given are data for two variables, x and y. xi 6 11 15 18 20 yi...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi 5 9 12 19 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 9 15 12 18 19 20 30 (d) Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi...

Given are data for two variables, x and y. xi 6 11 15 18 20 yi 5 9 12 21 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = 1.66x−7.82 (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 9 15 12 18 21 20 30 (c) Develop a plot of the residuals against the independent variable x. A residual plot...

Put options with strikes of 70, 75, and 80 have option premiums of 4.00, 8.00, and...

Put options with strikes of 70, 75, and 80 have option premiums of 4.00, 8.00, and 11.00, respectively. Given this information, in which way can you undertake an arbitrage?

Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62,...

Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62, 58, 55, 47, 33 B) Find the equation of the line containing the points (50, 58) and (80, 33) y=__x+(__) D) By hand, determine the least-squares regression line The equation of the least-squares regression line is given by ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0 where b1 equals r times StartFraction s Subscript y Over s Subscript x EndFractionb1=r•sysx is...

Refer to the data set of 20 randomly selected presidents given below. Treat the data as...

Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not? Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their...

Subjects