the data set shows the high school student grade . it have their mid and final test results. we wish to determine if there is a relationship between the two. 1 77 65 2 83 90 3 79 67 4 88 85 5 76 62 6 66 80 7 76 74 8 95 93 9 65 59 10 91 86 11 80 52 12 87 82 13 86 54 14 62 71 15 92 86 16 76 88 17 68 82 18 92 95 19 80 77 20 59 72 21 68 84 22 71 75 23 62 73 24 67 55 25 76 94 26 72 79 27 99 89 28 57 52 29 81 78 30 72 83 31 76 69 32 94 98 33 71 94 34 71 81 35 71 83 36 95 96 37 73 60 38 88 85 39 94 97 40 84 88 41 59 71 42 67 92 43 97 85 44 84 87 45 87 99 46 92 98 47 77 91 48 84 93 49 92 79 50 75 81 51 95 99 52 80 73 53 62 79 54 70 76 55 87 91 56 88 95 what is the equiation for the linear regression model? Final grade= ___ + ___ * Mid term grade (round to three decimal places) If cammy scores 73 on the midterm, her predicted final exam grade would be _______
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.
the data set shows the high school student grade . it have their mid and final test results. we wish to determine if there is a relationship between the two.
| 1 | 77 | 65 |
| 2 | 83 | 90 |
| 3 | 79 | 67 |
| 4 | 88 | 85 |
| 5 | 76 | 62 |
| 6 | 66 | 80 |
| 7 | 76 | 74 |
| 8 | 95 | 93 |
| 9 | 65 | 59 |
| 10 | 91 | 86 |
| 11 | 80 | 52 |
| 12 | 87 | 82 |
| 13 | 86 | 54 |
| 14 | 62 | 71 |
| 15 | 92 | 86 |
| 16 | 76 | 88 |
| 17 | 68 | 82 |
| 18 | 92 | 95 |
| 19 | 80 | 77 |
| 20 | 59 | 72 |
| 21 | 68 | 84 |
| 22 | 71 | 75 |
| 23 | 62 | 73 |
| 24 | 67 | 55 |
| 25 | 76 | 94 |
| 26 | 72 | 79 |
| 27 | 99 | 89 |
| 28 | 57 | 52 |
| 29 | 81 | 78 |
| 30 | 72 | 83 |
| 31 | 76 | 69 |
| 32 | 94 | 98 |
| 33 | 71 | 94 |
| 34 | 71 | 81 |
| 35 | 71 | 83 |
| 36 | 95 | 96 |
| 37 | 73 | 60 |
| 38 | 88 | 85 |
| 39 | 94 | 97 |
| 40 | 84 | 88 |
| 41 | 59 | 71 |
| 42 | 67 | 92 |
| 43 | 97 | 85 |
| 44 | 84 | 87 |
| 45 | 87 | 99 |
| 46 | 92 | 98 |
| 47 | 77 | 91 |
| 48 | 84 | 93 |
| 49 | 92 | 79 |
| 50 | 75 | 81 |
| 51 | 95 | 99 |
| 52 | 80 | 73 |
| 53 | 62 | 79 |
| 54 | 70 | 76 |
| 55 | 87 | 91 |
| 56 | 88 | 95 |
what is the equiation for the linear regression model?
Final grade= ___ + ___ * Mid term grade (round to three decimal places)
If cammy scores 73 on the midterm, her predicted final exam grade would be _______
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
