wenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted. x, Stamens 52 68 70 38 61 51 56 65 43 37 36 74 38 35 45 72 59 60 73 76 68 y, Carpels 21 30 29 19 20 30 29 31 20 24 21 28 27 24 28 22 34 28 32 34 35 Is the slope of the regression line significant at ? = .05? (i) Find t. (Give your answer correct to two decimal places.) (ii) Find the P-value. (Give your answer bounds exactly.) ___________< p < ______________
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.
wenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted.
| x, Stamens | 52 | 68 | 70 | 38 | 61 | 51 | 56 | 65 | 43 | 37 | 36 | 74 | 38 | 35 | 45 | 72 | 59 | 60 | 73 | 76 | 68 |
| y, Carpels | 21 | 30 | 29 | 19 | 20 | 30 | 29 | 31 | 20 | 24 | 21 | 28 | 27 | 24 | 28 | 22 | 34 | 28 | 32 | 34 | 35 |
(ii) Find the P-value. (Give your answer bounds exactly.)
___________< p < ______________
(d) Find the 90% prediction interval for the number of carpels that one would expect to find in a mature flower of this variety if the number of stamens were 48. (Give your answers correct to one decimal place.)
| Lower Limit | |
| Upper Limit |
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