Question

The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg’s cereal. Calories is the dependent variable. Calculate the r-sqr, correlation coefficient, and explain each value.

Index	1	2	3	4	5	6	7	8	9	10	11	12	13
Sugar (grams)	4	15	12	11	8	6	7	2	7	14	20	3	13
Calories	120	200	140	110	120	80	190	100	120	190	190	110	120

Answer 1

Answer:-

Given That:-

The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg’s cereal. Calories is the dependent variable. Calculate the r-sqr, correlation coefficient, and explain each value.

Given,

Let y = calories

x = sugar

we first calculate the following quantities

= 337.077

= 19630.769

Correlation coefficient r =  

r =

r = 0.673

Inetrpretation:

There is positive linear relationship between sugar and calories.

=45.3%

Interpretation:-

There is 45.3% dependent variables variation that a linear model explains.

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