STAT 3010 Lecture Notes - Lecture 15: Confidence Interval
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The shape of the data is slightly linear. The correlation coefficient is 0. 296177 which is closer to zero than positive one meaning that there is little to no relationship between the calories and carbohydrates. In fact, only 8. 772% of the variation in calories can be explained by carbohydrates. Thus, the we cannot conclude that calories can be predicted by carbohydrates. Interpreting the slope, we see that as we increase the amount of carbohydrates by one gram per serving the calories of the cereal will increase by 1. 6080 calories. Table 10. 1: first 6 lines of random sample (n=30) There are 30 random observations in my sample. There are also five variables which are the manufacturers, calories, protein, complex carbohydrates and potassium. Table 11. 1: 95% confidence interval for the mean potassium level in cereals. We are 95% confident that the potassium in a random cereal per serving will be between 70. 52 grams and 131. 41 grams.