Water and Carbohydrates Continuing on the theme of fruits an

Water and Carbohydrates. Continuing on the theme of fruits and vegetables, here are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100 g each). Is there a linear relationship between the variables? Find the critical value (from table 1) (example: .123) Compute the test value using the formula or calculator (round to three decimal places, example .645): Reject the null or do not reject the null (type in either Reject the null or do not reject the null only): Conclusion sentence (type in either is or is not only, to reflect what you found) and state if it is positive or negative. There enough evidence to support a relationship Find the equation of the regression line y\' = a + bx and fill in a and b below (round a and b to three decimal places, example: 4.123 or .234) If there are 75 grams of water, how many grams of carbs? (do not round)

Solution

1. Ho : rho=0 VS H1: rho does not equal to 0

The calculated rho value is -0.9926842.

2. Critical value of t-distribution for 5% level of significance with 6 degree of freedom is 2.4469.

3. Computation of test statistic

t={rho(sqrt(n-2))}/{sqrt(1-rho^2}={-.9927*sqrt(7-2)}/{sqrt(1-(-0.9927)^2)}= --18.3843

4. Reject the null hypothesis and Accept the alternative hypothesis.

5. Conclusion. Since calculated | t | is greater than critical t value (2.4469), H1 accepted strongly at 5% level of significance and we may conclude that the water and carbonhydrate contain in the theme of fruits and vegitable is significantly negative correlation.

6 The linera regression model is

y= 87.408+(- 0.868)x

8.   y=87.408+(- 0.868)*75

y=22.31

The carbohydrate value at 75gm of water is 22.31 gm.