You have been asked to find if there is a correlation between the amount of calories per serving in a bowl of cereal versus the amount of sugar (in grams) in the cereal. The following data has been given for examination.
Sugar |
Calories |
18 |
200 |
23 |
210 |
12 |
170 |
12 |
190 |
37 |
220 |
19 |
175 |
23 |
201 |
22 |
210 |
32 |
210 |
11 |
190 |
11 |
197 |
29 |
205 |
a. Create a scatterplot of the given data. Be sure you explain your decision on which variable is the predictor and which variable is the response.
b. Using computer software, calculate the correlation coefficient and interpret what this value implies in relation to the data set.
c. Create a regression equation that models the data and describe the values of the slope and y-intercept with the data set.
d. Predict if a box of cereal has 25 grams of sugar per serving how many calories it will contain.
e. Predict if a box of cereal has 230 calories per serving how much sugar (in grams) it will contain.
f. Discuss any lurking variables could be relevant to analysis of this data set.
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