Use the information on the table below. Diamond Prices Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price 510 1151 1343 1410 5669 2277 use a = 0.05 1. Find the value of the linear correlation coefficient( round the answer to three decirnal places) 2. Find the critical values of r from A-6. 3. Do they have any learner correlation? Yes or No. 4. Find the best predicted price for this dianond with a weight of 1.50 carats.( round the answer to the whole number)
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.
Let n = number of sample values in a bivariate data = 6
Level of significance α = 5% = 0.05
1.
| Weight (X) | Price (Y) | XY | X2 | Y2 | |
| 0.3 | 510 | 153 | 0.09 | 260100 | |
| 0.4 | 1151 | 460.4 | 0.16 | 1324801 | |
| 0.5 | 1343 | 671.5 | 0.25 | 1803649 | |
| 0.5 | 1410 | 705 | 0.25 | 1988100 | |
| 1 | 5669 | 5669 | 1 | 32137561 | |
| 0.7 | 2277 | 1593.9 | 0.49 | 5184729 | |
| Totals | 3.4 | 12360 | 9252.8 | 2.24 | 42698940 |
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