The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals. Product Calories 76 Sugar o Cereal 1 7 a. Compute and interpret the coefficient of correlation,r. b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar? Cereal 2 Cereal 3 Cereal 4 Cereal 5 Cereal 6 Cereal 7 98 101 2 3 5 114 135 4 185 11 203 10 a. The coefficient of correlation, r=, indicates (Round to three decimal places as needed) v correlation. b. Determine the hypotheses for the test. Choose the correct answer below. OA H B =0 H Po #0 O D. H B, S0 H B >0 OC. H p=0 O B. Ho: pso H p>0 O E. Ho p20 H p<0 H,i p=0 OF. Ho B, 20 H;: B, <0 Compute the test statistic The test statistic is (Round to two decimal places as needed.) Determine the p-value. The p-value is (Round to three decimal places as needed.) Reach a decision. V Họ. There is evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
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.
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