Exercise 1. The following table gives information on average saturated fat (in grams) consumed per day and cholesterol level (in milligrams per centiliters) of ten men taken from a simple random sample. Fat Consumption (in grams) 55 68 50 34 43 58 77 36 60 39 Cholesterol level (in mg/cL) 180 215 195 165 170 204 235 150 190 185 In 4.1 you already found the scatter plot and correlation coefficient for this data set. (a) Find the regression equation on your Ti84+. Use correct notation. (b) What is the slope? Write a sentence that gives the interpretation of the slope. (c) What is the y-intercept? Write a sentence that gives the interpretation of the y-intercept. (d) Is the y-intercept outside the scope of the model? Why or why not? Give a reason. (e) Recall that you found in Exercise 4 of 4.1 that there was a linear correlation with ? = 0.908. Predict the cholesterol level of a man who consumes 65 grams of saturated fat per day.
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.
Exercise 1. The following table gives information on average saturated fat (in grams) consumed per day and
cholesterol
level (in milligrams per centiliters) of ten men taken from a simple random sample.
Fat Consumption (in grams) 55 68 50 34 43 58 77 36 60 39
Cholesterol level (in mg/cL) 180 215 195 165 170 204 235 150 190 185
In 4.1 you already found the
(a) Find the regression equation on your Ti84+. Use correct notation.
(b) What is the slope? Write a sentence that gives the interpretation of the slope.
(c) What is the y-intercept? Write a sentence that gives the interpretation of the y-intercept.
(d) Is the y-intercept outside the scope of the model? Why or why not? Give a reason.
(e) Recall that you found in Exercise 4 of 4.1 that there was a
cholesterol level of a man who consumes 65 grams of saturated fat per day.
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