In: Statistics and Probability
Estriol - X | Birthweight -y |
7 | 25 |
9 | 25 |
9 | 25 |
12 | 27 |
14 | 27 |
16 | 27 |
16 | 24 |
14 | 30 |
16 | 30 |
16 | 31 |
17 | 30 |
19 | 31 |
21 | 30 |
24 | 28 |
15 | 32 |
16 | 32 |
17 | 32 |
25 | 32 |
27 | 34 |
15 | 34 |
15 | 34 |
15 | 35 |
16 | 35 |
19 | 34 |
18 | 35 |
17 | 36 |
18 | 37 |
20 | 38 |
22 | 40 |
25 | 39 |
24 | 43 |
The table shown above is taken from the Greene-Touchstone study which shows the relationship between birthweight and estriol level in pregnant women near term. Use SPSS to solve this problem
a. What is the equation of the estimated regression line?
= ______________
b. Plot the data and graph the line. Does the line appear to provide a good fit to the data points?
c. Use the least-squares line to predict the value of y when x =22
d. Fill in the missing entries in the SPSS analysis of variance table
Source DF SS MS F P
Regression
Error ____ _____ ____________
e) Is the simple linear regression model useful for predicting birthweight from a given amount of estriol?
f) What is the p-value?
g) Based on the p-value, one can deduce that A linear relationship ________ between x and y.
h) The simple linear regression model ______________ useful for predicting birth weight from estriol levels
i) What is the coefficient of determination. (r-squared) or r?
j) Interpret the coefficient (r-squared) of determination.