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.
Note:
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a.
Step-by-step procedure to obtain a scatter plot using Excel add-in Mega stat as follows:
The output obtained using Excel add-in Mega stat is represented as follows:
From the above graph, the correlation between the sugar (Predictor) and Calories (Response) are positive.
As grams of sugar increases in the box of cereals then Calories also increase in the same direction.
b.
The correlation coefficient can be obtained as follows:
Step-by-step procedure to obtain the correlation Excel add-in Mega stat as follows:
The output obtained using Exc...
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