Question

Data for two variables, x and y, follow. xi 1   2   3   4   5 yi 5  ...

Data for two variables, x and y, follow.
xi
1   2   3   4   5
yi
5   9   7   13   16
(a)
Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ = 2.20+2.60x

Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.)

xi

yi

Studentized
Deleted Residual
1 5
2 9
3 7
4 13
5 16

Homework Answers

Answer #1
x y xy
1 5 5 1 25
2 9 18 4 81
3 7 21 9 49
4 13 52 16 169
5 16 80 25 256
Σx=15 Σy=50 Σxy=176 Σx²=55 Σy²=580

Observation Predicted y Residuals Standard Residuals
1 4.8 0.2 0.113592
2 7.4 1.6 0.908739
3 10 -3 -1.70389
4 12.6 0.4 0.227185
5 15.2 0.8 0.454369
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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)Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals 6 7...
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 2 8 6 11 13 a) 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. ŷ =? b) Use the estimated regression equation to predict the value of y when x = 2.
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 6 6 11 15 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. What does the scatter diagram indicate about the relationship between the two variables? Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal). ŷ = + x Use the estimated regression equation to...
The following data were used in a regression study. Observation 1 2 3 4 5 6...
The following data were used in a regression study. Observation 1 2 3 4 5 6 7 8 9 xi 2 3 4 5 7 7 7 8 9 yi 3 5 4 7 4 6 9 5 11 a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = b) Do the assumptions about the error term seem to be satisfied? a) The plot suggests a generally horizontal band of residual...
1. The owner of a movie theater company would like to predict weekly gross revenue as...
1. The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1,000s) Television Advertising ($1,000s) Newspaper Advertising ($1,000s) 96 5 1.5 91 2 2 95 4 1.5 93 2.5 2.5 95 3 3.3 94 3.5 2.2 94 2.5 4.1 94 3 2.5 (a) Use α = 0.01 to test the hypotheses H0: β1 = β2 = 0 Ha:...
Data for two variables, x and y, follow. xi 22 24 25 28 41 yi 12...
Data for two variables, x and y, follow. xi 22 24 25 28 41 yi 12 23 31 36 69 a. Develop the estimated regression equation for these data (to 2 decimals). Enter negative value as negative number. y=-43.71+2.78x b. Compute the standardized residuals for these data (to 2 decimals). Enter negative value as negative number. xi yi Standardized Residual 22 12 24 23 -0.02 25 31 1.31 28 36 41 69 c. Compute the leverage values for these data...
8. Consider the following data for a dependent variable y and two independent variables, x1 and...
8. Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.) ŷ = ______   Predict y if x1 = 51. (Round your answer...
Consider the data. xi 1 2 3 4 5 yi 4 7 6 10 13 The...
Consider the data. xi 1 2 3 4 5 yi 4 7 6 10 13 The estimated regression equation for these data is ŷ = 1.70 + 2.10x. (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. r2= Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it...
Consider the following data for two variables, x and y. xi 4 5 7 8 10...
Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 12 14 16 15 18 20 24 19 Use the facts that ̄x= 10, ̄y= 17.25, ˆy= 13.05 +.42x, Σ(xi − ̄x)^2= 226, and s= 5.58. Compute the leverage values for these data. Do there appear to be any influential observations in these data? Explain.
Consider the data. xi 1 2 3 4 5 yi 3 7 4 10 12 The...
Consider the data. xi 1 2 3 4 5 yi 3 7 4 10 12 The estimated regression equation for these data is ŷ = 0.90 + 2.10x. (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. r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is...