Question

# my computer won't install minitab to run this problem through.. (its old)

30 random data

sets

Point,Heart rate,Age,Weight,Height

1,65,26,163,64

2,86,49,106,65

3,59,27,131,71

4,106,23,231,59

5,68,21,115,73

6,115,36,223,63

7,66,28,147,72

8,94,32,238,60

9,96,59,137,73

10,85,23,144,65

11,99,31,199,58

12,80,51,109,62

13,109,56,115,70

14,108,56,139,60

15,75,23,150,64

16,65,25,102,59

17,108,55,166,61

18,120,26,261,67

19,61,24,103,74

20,72,26,171,67

21,73,29,186,69

22,80,25,149,71

23,115,51,138,67

24,93,24,251,69

25,86,50,121,60

26,89,20,245,66

27,98,38,232,60

28,58,27,129,72

29,81,32,150,75

30,118,50,244,61

**a)**Find the multiple regression equation using all three explanatory variables. Assume that X_{1} is age, X_{2} is weight and X_{3} is height. Give your answers to 3 decimal places.

y^= _____ + ______age +______ weight +________ height

**b)**At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis _______rejected.

For parts **c)** and **d)**, using the data, separately calculate the correlations between the response variable and each of the three explanatory variables.

**c)**The explanatory variable that is most correlated with heart rate is:

1)age

2)weight

3)height

**d)**The explanatory variable that is least correlated with heart rate is:

1)age

2)weight

3)height

**e)**The value of R^{2} for this model, to 2 decimal places, is equal to ____

**f)**The value of s_{e} for this model, to 3 decimal places, is equal to ______

**g)**Construct a new multiple regression model by removing the variable height. Give your answers to 3 decimal places.

The new regression model equation is:

y^ = ______ + age +_____ weight

**h)**In the new model compared to the previous one, the value of R^{2} (to 2 decimal places) is:

1)increased

2)decreased

3)unchanged

**i)**In the new model compared to the previous one, the value of s_{e} (to 3 decimal places) is:

1)increased

2)decreased

3)unchanged

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