The number of pounds of steam used per month (y) by a chemical plant is thought...
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The number of pounds of steam used per month (y) by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month (x). Twelve observations have been given in the table below.
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Find the estimated coefficients of the linear regression model using least squares method. [5 marks]
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Calculate the R-squared. [5 marks]
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Check the model adequacy using Minitab. [5 marks]
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Find a 95% confidence interval for the slope. [5 marks]
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|
Observation# |
x |
y |
| 1 | 21 |
185.79 |
| 2 | 24 |
214.47 |
| 3 | 32 |
288.03 |
| 4 | 47 |
424.84 |
| 5 | 50 |
454.58 |
| 6 | 59 |
539.03 |
| 7 | 68 |
621.55 |
| 8 | 74 |
675.06 |
| 9 | 62 |
562.03 |
| 10 | 50 |
452.93 |
| 11 | 41 |
369.95 |
| 12 | 30 |
273.98 |
Homework Answers
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The number of pounds of steam used per month (y) by a chemical
plant is thought...
II) (10 marks) The number of pounds of steam used per month by a chemical plant is thought to be ...
II) (10 marks) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. An investigator has collected the past year's usage and temperature in a table. Some summary statistics related to this dataset are provided y-5062.212x,2-29256, n 12 , x,-558, y,2 2416144 Xiy.-265864.6, (yi-%)2-37.746 Month Temp. Usage/1000 Jan 21 Feb 24 Mar. 32 Apr. 47 May 50 June 59 July 68 Aug....
1) a) Construct a 95% confidence interval about the mean response at x = 46 using...
1)
a) Construct a 95% confidence interval about the mean response
at x = 46 using the data set Steam.
b) Calculate the R2 value and the coefficient of
correlation for the data set Steam.
Steam Data Set
Month Temperature(x) Usage/1000 (y) Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 21 24 32 43 50 59 70 74 62 50 41 30 185.79 214.47 288.03 424.84 454.58 539.03 621.55 675.06 562.03 452.93 369.95 273.98
Twenty-one daily responses of stack loss (y) (the amount of ammonia escaping) were measured with air...
Twenty-one daily responses of stack loss (y) (the amount of ammonia escaping) were measured with air flow x1, temperature x2, and acid concentration x3. Obtain a matrix plot of scatter plots for all pairs of variables using Minitab, and state your conclusion based on this graph. [5 marks] Find a multiple linear regression model for this data using Minitab. [5 marks] Check the significance of the model using ANOVA via Minitab and state your conclusion at 5% alpha level. [5...
8. (From Stapleton, 1995.) Suppose we have an ordinary household scale such as might be used...
8. (From Stapleton, 1995.) Suppose we have an ordinary household scale such as might be used in a kitchen. When an object is placed on the scale, the reading is a combination of the true weight plus a random error. You have two coins of unknown weights ß, and 62. To estimate the weights of the coins, you take four observations: . Put coin 1 on the scale and observe y e Put coin 2 on the scale and observe...
Reserve Problems Chapter 11 Section 2 Problem 1 The department of health studied the number of...
Reserve Problems Chapter 11 Section 2 Problem 1 The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: 1278 1761 2917 3923 4983 6914 7655 7596 77378524 8376 8639 8946 x 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Round your intermediate answers to four decimal places...
Please answer asap, thanks! We collect the following data to study the operation of a plant for the oxidation of ammonia to nitric acid. In the regression models, x is air flow, x2 is cooling w...
Please answer asap, thanks!
We collect the following data to study the operation of a plant for the oxidation of ammonia to nitric acid. In the regression models, x is air flow, x2 is cooling water inlet temperature and y is stack loss. The standard errors of predicted are derived from the second model. Note that 1 57.765 and Σ(x1,-%)2-871.06. StdErr Pred y 27 0.9980645052 2 0.3599917876 23 0.4203293994 24 0.5286438199 4 0.5286438199 23 0.5199911743 8 0.5148291582 8 0.5148291582 7...
y2 36 49 1760 You are a personnel director and are interested in predicting the Number...
y2 36 49 1760 You are a personnel director and are interested in predicting the Number of Shares of Company Stock (V) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and obtain the following summary data: EmplNum NumberShares (Y) YearsEmployed (x) - XY X² 1 350 2100 122500 2 415 7 2905 172225 3 22 8 64 48400 4 520 4680 81 270400 5 355 10 3550 126025 640 8320 169 409600 7...
The systolic blood pressure of individuals is thought to be related to both age and weight....
The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained Weight (pounds) Systolic Blood pressue Age (years) 149 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 16B 74 220 137 54 188 61 188 159 65 207 128 46 167 166 72 217 (a) Generate summary statistics, including the mean and standard deviation of each...
Please answer the whole question, I need them all I will give thumbs up This is...
Please answer the whole question, I need them all
I will give thumbs up
This is should be the
TAMPALMS.txt (1.292 KB)
Property Market_Val Sale_Price
1 181.44 382.0
2 191.00 230.0
3 159.83 220.0
4 189.22 277.0
5 151.61 205.0
6 166.40 250.0
7 157.09 235.0
8 211.74 284.0
9 146.45 247.7
10 131.80 159.0
11 131.05 200.0
12 191.98 285.0
13 138.85 170.0
14 147.95 215.0
15 121.98 149.0
16 113.08 165.0
17 138.02 205.0
18 162.65 262.5
19 ...
PLEASE ANSWER ALL parts . IF YOU CANT ANSWER ALL, KINDLY ANSWER PART (E) AND PART(F)...
PLEASE ANSWER ALL parts .
IF YOU CANT ANSWER ALL, KINDLY ANSWER PART (E) AND
PART(F)
FOR PART (E) THE REGRESSION MODEL IS ALSO GIVE AT THE
END.
REGRESSION MODEL:
We will be returning to the mtcars dataset, last seen in assignment 4. The dataset mtcars is built into R. It was extracted from the 1974 Motor Trend US magazine, and comcaprises fuel consumption and 10 aspects of automobile design and performance for 32 automobiles (1973-74 models). You can find...
II) (10 marks) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. An investigator has collected the past year's usage and temperature in a table. Some summary statistics related to this dataset are provided y-5062.212x,2-29256, n 12 , x,-558, y,2 2416144 Xiy.-265864.6, (yi-%)2-37.746 Month Temp. Usage/1000 Jan 21 Feb 24 Mar. 32 Apr. 47 May 50 June 59 July 68 Aug....
1)
a) Construct a 95% confidence interval about the mean response
at x = 46 using the data set Steam.
b) Calculate the R2 value and the coefficient of
correlation for the data set Steam.
Steam Data Set
Month Temperature(x) Usage/1000 (y) Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 21 24 32 43 50 59 70 74 62 50 41 30 185.79 214.47 288.03 424.84 454.58 539.03 621.55 675.06 562.03 452.93 369.95 273.98
8. (From Stapleton, 1995.) Suppose we have an ordinary household scale such as might be used in a kitchen. When an object is placed on the scale, the reading is a combination of the true weight plus a random error. You have two coins of unknown weights ß, and 62. To estimate the weights of the coins, you take four observations: . Put coin 1 on the scale and observe y e Put coin 2 on the scale and observe...
Reserve Problems Chapter 11 Section 2 Problem 1 The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: 1278 1761 2917 3923 4983 6914 7655 7596 77378524 8376 8639 8946 x 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Round your intermediate answers to four decimal places...
Please answer asap, thanks!
We collect the following data to study the operation of a plant for the oxidation of ammonia to nitric acid. In the regression models, x is air flow, x2 is cooling water inlet temperature and y is stack loss. The standard errors of predicted are derived from the second model. Note that 1 57.765 and Σ(x1,-%)2-871.06. StdErr Pred y 27 0.9980645052 2 0.3599917876 23 0.4203293994 24 0.5286438199 4 0.5286438199 23 0.5199911743 8 0.5148291582 8 0.5148291582 7...
y2 36 49 1760 You are a personnel director and are interested in predicting the Number of Shares of Company Stock (V) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and obtain the following summary data: EmplNum NumberShares (Y) YearsEmployed (x) - XY X² 1 350 2100 122500 2 415 7 2905 172225 3 22 8 64 48400 4 520 4680 81 270400 5 355 10 3550 126025 640 8320 169 409600 7...
The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained Weight (pounds) Systolic Blood pressue Age (years) 149 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 16B 74 220 137 54 188 61 188 159 65 207 128 46 167 166 72 217 (a) Generate summary statistics, including the mean and standard deviation of each...
Please answer the whole question, I need them all
I will give thumbs up
This is should be the
TAMPALMS.txt (1.292 KB)
Property Market_Val Sale_Price
1 181.44 382.0
2 191.00 230.0
3 159.83 220.0
4 189.22 277.0
5 151.61 205.0
6 166.40 250.0
7 157.09 235.0
8 211.74 284.0
9 146.45 247.7
10 131.80 159.0
11 131.05 200.0
12 191.98 285.0
13 138.85 170.0
14 147.95 215.0
15 121.98 149.0
16 113.08 165.0
17 138.02 205.0
18 162.65 262.5
19 ...
PLEASE ANSWER ALL parts .
IF YOU CANT ANSWER ALL, KINDLY ANSWER PART (E) AND
PART(F)
FOR PART (E) THE REGRESSION MODEL IS ALSO GIVE AT THE
END.
REGRESSION MODEL:
We will be returning to the mtcars dataset, last seen in assignment 4. The dataset mtcars is built into R. It was extracted from the 1974 Motor Trend US magazine, and comcaprises fuel consumption and 10 aspects of automobile design and performance for 32 automobiles (1973-74 models). You can find...
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