Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data: X (hours practicing jump shot) Y (points scored in a game) 5 15 7 22 9 28 10 31 11 33 12 36 (a) Find the correlation coefficient and interpret the result. Find the equation of the least square regression without outlier(s) and answer the following questions. (b) Find the slope and interpret. Round the slope to nearest thousandth. (c) Find the y-intercept and interpret if the value is reasonable. If the interpretation for the y-intercept is not reasonable, explain why. Round the y-intercept to nearest thousandth.
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.
Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data:
| X (hours practicing jump shot) | Y (points scored in a game) |
|---|---|
| 5 | 15 |
| 7 | 22 |
| 9 | 28 |
| 10 | 31 |
| 11 | 33 |
| 12 | 36 |
(a) Find the
Find the equation of the least square regression without outlier(s) and answer the following questions.
(b) Find the slope and interpret. Round the slope to nearest thousandth.
(c) Find the y-intercept and interpret if the value is reasonable. If the interpretation for the y-intercept is not reasonable, explain why. Round the y-intercept to nearest thousandth.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
