Detergent manufacturers frequently make claims about effectiveness of their product. A consumer-protection service decided to test the five best selling brands of detergent in three water temperatures on their claim of producing the “whitest whites”. One hundred and fifty white sheets were equally soiled. Thirty sheets were washed in each of the five brands; 10 in cold water, 10 in warm water and 10 in hot water. After washing, the “whiteness” was measured with laser equipment. Perform the appropriate post-hoc analyses and clearly state your conclusions about the performance of the different brands in lukewarm water. Temperature Dtrgent1 Dtrgent2 Dtrgent3 Dtrgent4 Dtrgent5 Cold 66 83 70 44 84 Cold 87 62 75 59 67 Cold 55 61 62 47 99 Cold 41 85 68 60 85 Cold 68 75 72 79 73 Cold 49 78 92 62 74 Cold 52 68 70 73 76 Cold 57 66 71 64 82 Cold 66 93 74 69 79 Cold 62 81 80 81 79 Lukewarm 78 63 71 70 87 Lukewarm 65 47 88 80 100 Lukewarm 68 88 90 78 83 Lukewarm 75 74 85 72 82 Lukewarm 57 71 78 71 93 Lukewarm 48 71 69 75 76 Lukewarm 84 71 60 101 87 Lukewarm 69 68 80 81 76 Lukewarm 55 80 61 87 70 Lukewarm 78 68 89 84 78 Hot 99 82 97 85 84 Hot 87 85 98 83 95 Hot 57 72 79 94 82 Hot 84 71 60 89 74 Hot 93 72 84 77 97 Hot 64 77 58 100 87 Hot 90 73 79 92 80 Hot 85 88 86 102 76 Hot 64 75 91 93 91 Hot 84 77 75 86 96
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Detergent manufacturers frequently make claims about effectiveness of their product. A consumer-protection service decided to test the five best selling brands of detergent in three water temperatures on their claim of producing the “whitest whites”. One hundred and fifty white sheets were equally soiled. Thirty sheets were washed in each of the five brands; 10 in cold water, 10 in warm water and 10 in hot water. After washing, the “whiteness” was measured with laser equipment.
- Perform the appropriate post-hoc analyses and clearly state your conclusions about the performance of the different brands in lukewarm water.
| Temperature | Dtrgent1 | Dtrgent2 | Dtrgent3 | Dtrgent4 | Dtrgent5 |
| Cold | 66 | 83 | 70 | 44 | 84 |
| Cold | 87 | 62 | 75 | 59 | 67 |
| Cold | 55 | 61 | 62 | 47 | 99 |
| Cold | 41 | 85 | 68 | 60 | 85 |
| Cold | 68 | 75 | 72 | 79 | 73 |
| Cold | 49 | 78 | 92 | 62 | 74 |
| Cold | 52 | 68 | 70 | 73 | 76 |
| Cold | 57 | 66 | 71 | 64 | 82 |
| Cold | 66 | 93 | 74 | 69 | 79 |
| Cold | 62 | 81 | 80 | 81 | 79 |
| Lukewarm | 78 | 63 | 71 | 70 | 87 |
| Lukewarm | 65 | 47 | 88 | 80 | 100 |
| Lukewarm | 68 | 88 | 90 | 78 | 83 |
| Lukewarm | 75 | 74 | 85 | 72 | 82 |
| Lukewarm | 57 | 71 | 78 | 71 | 93 |
| Lukewarm | 48 | 71 | 69 | 75 | 76 |
| Lukewarm | 84 | 71 | 60 | 101 | 87 |
| Lukewarm | 69 | 68 | 80 | 81 | 76 |
| Lukewarm | 55 | 80 | 61 | 87 | 70 |
| Lukewarm | 78 | 68 | 89 | 84 | 78 |
| Hot | 99 | 82 | 97 | 85 | 84 |
| Hot | 87 | 85 | 98 | 83 | 95 |
| Hot | 57 | 72 | 79 | 94 | 82 |
| Hot | 84 | 71 | 60 | 89 | 74 |
| Hot | 93 | 72 | 84 | 77 | 97 |
| Hot | 64 | 77 | 58 | 100 | 87 |
| Hot | 90 | 73 | 79 | 92 | 80 |
| Hot | 85 | 88 | 86 | 102 | 76 |
| Hot | 64 | 75 | 91 | 93 | 91 |
| Hot | 84 | 77 | 75 | 86 | 96 |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
