A dog trainer is exploring the relationship between the weight of the dog and its daily food consumption (measured in standard cups). Below is the result of a sample of 18 observations. Dog Weight Consumption 1 41 3 2 148 8 3 79 5 4 41 4 5 85 5 6 111 6 7 37 3 8 111 6 9 41 3 10 91 5 11 109 6 12 207 10 13 49 3 14 113 6 15 84 5 16 95 5 17 57 4 18 168 9 GIVEN: correlation coefficient: 0.987 FIND: State the decision rule for 0.05 significance level: H0: ρ ≤ 0; H1: ρ > 0 - Reject Ho if t> ____________ (Explain) Compute the value of the test statistic: ________ (Explain) Develop a regression equation that predicts a dog's weight based on the cups of food per day and how much does each additional cup change the estimated weight of the dog, explain? (Down Below) The regression equation is: Weight = _____________ + ____________ Consumption. Each additional cup increases the estimated weight by ________ pounds.
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.
A dog trainer is exploring the relationship between the weight of the dog and its daily food consumption (measured in standard cups). Below is the result of a sample of 18 observations.
|
Dog |
Weight | Consumption |
| 1 | 41 | 3 |
| 2 | 148 | 8 |
| 3 | 79 | 5 |
| 4 | 41 | 4 |
| 5 | 85 | 5 |
| 6 | 111 | 6 |
| 7 | 37 | 3 |
| 8 | 111 | 6 |
| 9 | 41 | 3 |
| 10 | 91 | 5 |
| 11 | 109 | 6 |
| 12 | 207 | 10 |
| 13 | 49 | 3 |
| 14 | 113 | 6 |
| 15 | 84 | 5 |
| 16 | 95 | 5 |
| 17 | 57 | 4 |
| 18 | 168 | 9 |
GIVEN:
correlation coefficient : 0.987
FIND:
State the decision rule for 0.05 significance level: H0: ρ ≤ 0; H1: ρ > 0 - Reject Ho if t> ____________ (Explain)
Compute the value of the test statistic: ________ (Explain)
Develop a regression equation that predicts a dog's weight based on the cups of food per day and how much does each additional cup change the estimated weight of the dog, explain? (Down Below)
The regression equation is: Weight = _____________ + ____________ Consumption.
Each additional cup increases the estimated weight by ________ pounds.
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