Grades The table below shows the five scores from an Introductory Statistics course. Find a model for predict-ing final exam score by trying all possible models with two predictor variables. Which model would you choose?Be sure to check the conditions for multiple regression. Name Final Midterm 1 Midterm 2 Project Home-work Kristina G. 178 98 96 9.3 84Timothy B. 75 50 27 10 20Jason C. 159 91 83 10.6 71Whitney E. 157 87 89 10.5 85Alexis P. 158 90 91 11.3 68Nicholas T. 171 95 82 10.5 68Amandeep S. 173 91 37 10.6 54Irena R. 165 93 81 9.3 82Yvon T. 168 88 66 10.5 82Sara M. 186 99 90 7.5 77Annie P. 157 89 92 10.3 68Benjamin S. 177 87 62 10 72David W. 170 92 66 11.5 78Josef H. 78 62 43 9.1 56Rebecca S. 191 93 87 11.2 80Joshua D. 169 95 93 9.1 87Ian M. 170 93 65 9.5 66Katharine A. 172 92 98 10 77Emily R. 168 91 95 10.7 83Brian M. 179 92 80 11.5 82Shad M. 148 61 58 10.5 65Michael R. 103 55 65 10.3 51Israel M. 144 76 88 9.2 67Iris J. 155 63 62 7.5 67Mark G. 141 89 66 8 72Peter H. 138 91 42 11.5 66Catherine R.M. 180 90 85 11.2 78Christina M. 120 75 62 9.1 72Enrique J. 86 75 46 10.3 72Sarah K. 151 91 65 9.3 77Thomas J. 149 84 70 8 70Sonya P. 163 94 92 10.5 81Michael B. 153 93 78 10.3 72Wesley M. 172 91 58 10.5 66Mark R. 165 91 61 10.5 79Adam J. 155 89 86 9.1 62Jared A. 181 98 92 11.2 83Michael T. 172 96 51 9.1 83Kathryn D. 177 95 95 10 87Nicole M. 189 98 89 7.5 77Wayne E. 161 89 79 9.5 44Elizabeth S. 146 93 89 10.7 73John R. 147 74 64 9.1 72Valentin A. 160 97 96 9.1 80David T.O. 159 94 90 10.6 88Marc I. 101 81 89 9.5 62Samuel E. 154 94 85 10.5 76Brooke S. 183 92 90 9.5 86
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.
ing final exam score by trying all possible models with
Be sure to check the conditions for multiple regression.
work
Timothy B. 75 50 27 10 20
Jason C. 159 91 83 10.6 71
Whitney E. 157 87 89 10.5 85
Alexis P. 158 90 91 11.3 68
Nicholas T. 171 95 82 10.5 68
Amandeep S. 173 91 37 10.6 54
Irena R. 165 93 81 9.3 82
Yvon T. 168 88 66 10.5 82
Sara M. 186 99 90 7.5 77
Annie P. 157 89 92 10.3 68
Benjamin S. 177 87 62 10 72
David W. 170 92 66 11.5 78
Josef H. 78 62 43 9.1 56
Rebecca S. 191 93 87 11.2 80
Joshua D. 169 95 93 9.1 87
Ian M. 170 93 65 9.5 66
Katharine A. 172 92 98 10 77
Emily R. 168 91 95 10.7 83
Brian M. 179 92 80 11.5 82
Shad M. 148 61 58 10.5 65
Michael R. 103 55 65 10.3 51
Israel M. 144 76 88 9.2 67
Iris J. 155 63 62 7.5 67
Mark G. 141 89 66 8 72
Peter H. 138 91 42 11.5 66
Catherine R.M. 180 90 85 11.2 78
Christina M. 120 75 62 9.1 72
Enrique J. 86 75 46 10.3 72
Sarah K. 151 91 65 9.3 77
Thomas J. 149 84 70 8 70
Sonya P. 163 94 92 10.5 81
Michael B. 153 93 78 10.3 72
Wesley M. 172 91 58 10.5 66
Mark R. 165 91 61 10.5 79
Adam J. 155 89 86 9.1 62
Jared A. 181 98 92 11.2 83
Michael T. 172 96 51 9.1 83
Kathryn D. 177 95 95 10 87
Nicole M. 189 98 89 7.5 77
Wayne E. 161 89 79 9.5 44
Elizabeth S. 146 93 89 10.7 73
John R. 147 74 64 9.1 72
Valentin A. 160 97 96 9.1 80
David T.O. 159 94 90 10.6 88
Marc I. 101 81 89 9.5 62
Samuel E. 154 94 85 10.5 76
Brooke S. 183 92 90 9.5 86
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