Question

A study was conducted with vegetarians to determine if the number of grams of protein they ate daily was related to their diastolic blood pressure. The data are as follows: Grams of Protein (x): 4 6.5 5 5.5 8 10 9 8.2 10.5 Diastolic BP (y): 62 79 83 82 84 92 88 86 95 Determine if there is a significant relationship between the variables, and if there is, give the equation of the regression line and predict the diastolic blood pressure of a vegetarian who consumes 11 grams of protein per day. Use ? = 0.05. Solve using MegaStat.

Answer 1

To test :

Test statistic :

where ,

Degrees of freedom = 7

We reject the null hypothesis or H₀ if the observed value of , where ,

The value of the test statistic :

Critical value :

Now ,

Hence we reject the null hypothesis or H₀

Thus we have sufficient evidence to support the claim that there is a significant relationship between the variables

The regression equation of y on x is given below :

where ,

The regreesion equation is :

The fitted value of y for x = 11 is :