Question
In: Statistics and Probability
A chemical engineer is investigating the effect of process operating temperature on product yield. The study...
A chemical engineer is investigating the effect of process operating temperature on product yield. The study results in the following data:
| Temperature | Yield | |
| 100 | 56.17 | |
| 110 | 72.28 | |
| 120 | 75.68 | |
| 130 | 73.30 | |
| 140 | 90.95 | |
| 150 | 90.21 | |
| 160 | 103.68 | |
| 170 | 114.28 | |
| 180 | 123.66 | |
| 190 |
130.66 |
You can use Minitab to answer the following questions. However, you should be able to calculate the slope and intercept of the least squares regression model by hand, which requires only the means and standard deviations of X and Y, and the correlation coefficient (here r = 0.9829).
- The intercept of the fitted regression line is closest to:
- The yield predicted by the regression model for a temperature of 150 degrees is closest to:
- The residual error for a temperature of 150 degrees is closest to:
- If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the slope would change by a factor of:
- If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the correlation coefficient would increase by a factor of:
Solutions
orchestra answered 3 years agoRelated Solutions
A chemical engineer is investigating the effect of process operating temperature on product yield.The study results...
A chemical engineer is investigating the effect of process
operating temperature on product yield.The study results in the
following data:
Temperature Yield
100 59.63
110 72.28
120 70.98
130 74.35
140 88.23
150 100.28
160 106.41
170 113.01
180 113.71
190 124.07
You can use Minitab to answer the following questions.
However, you should be able to calculate the slope and intercept of
the least squares regression model by hand, which requires only the
means and standard deviations of X...
A chemical engineer is investigating the effect of process operating temperature on product yield.The study results...
A chemical engineer is investigating the effect of
process operating temperature on product yield.The study results in
the following data:
Temperature
Yield
100
61.07
110
66.01
120
79.28
130
75.04
140
80.30
150
97.95
160
98.17
170
110.07
180
121.28
190
118.21
You can use Minitab to answer the following questions.
However, you should be able to calculate the slope and intercept of
the least squares regression model by hand, which requires only the
means and standard deviations of X...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
37
35
30
27
36
35
39
39
35
42
28
37
35
32
38
A. Construct an analysis of variance table (to 2 decimals, if
necessary). Round p-value to four decimal places.
Source of variation
sum of squares
degrees of freedom
mean square
F
P- Value
Treatments
Error
Total...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
32
34
29
22
35
34
34
38
34
37
27
36
30
31
37
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a level...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
32
30
25
22
31
30
34
34
30
37
23
32
30
27
33
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a.05...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
31
33
23
21
34
28
33
37
28
36
26
30
29
30
31
a. Construct an analysis of variance table (to 2 decimals but
p-value to 4 decimals, if necessary).
b. Use a level of significance to test whether the temperature
level has an effect on the mean yield...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
34
28
27
24
29
32
36
32
32
39
21
34
32
25
35
Construct an analysis of
variance table (to 2 decimals, if necessary). Round
p-value to four decimal places.
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
30
26
24
20
27
29
32
30
29
35
19
31
28
23
32
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a
chemical process, five batches were produced at each of the three
temperature level. The results follow.
50 degree C
60 degree C
70 degree C
32
31
25
22
32
30
34
35
30
37
24
32
30
28
33
A. Construct an analysis of variance table
Source Variation
Sum Squares
Degree Freedom
Mean Square
F
P-Value
Treatments
Error
Total
B. use .05 level of significance to test whether the...
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
31
29
25
21
30
30
33
33
30
36
22
32
29
26
33
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a level...
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