Birth Length (in) of Newborn Infants	Height of Mother (in)	Height of Father (in)	Birth Weight of Nearest Sibling (lb)
1	22.0	61	70	6.5
2	23.5	64	72	6.1
3	24.0	64	74	7.3
4	20.4	61	60	7.4
5	18.7	59	60	5.9
6	22.1	64	62	6.7
7	23.0	62	73	6.8
8	24.3	64	76	7.2
9	21.3	62	71	7.1
10	22.1	65	72	6.1
11	20.3	63	71	6
12	24.2	64	76	7.4
13	21.9	65	72	6.2
14	23.4	62	78	6.7
15	26.1	64	77	7.1
16	22.5	63	72	6.8
17	21.4	63	71	6.2
18	22.6	63	69	6.7
19	21.9	63	68	6.2
20	19.6	60	61	5.9
21	19.6	61	64	5.8
22	22.5	64	66	6.2
23	24.1	66	73	6.6
24	24.1	66	72	7.1
25	22.8	63	68	7.1

Scenario: As a researcher studying how inherited traits influence newborn babies. You have gathered genetic data on newborns’, parents and sibling as shown in the table above.

Scenario 1: Perform a simple linear regression analysis to predict a newborn’s birth length (in inches) using the father’s height as a predictor variable. Conduct your analysis using a 95% level of confidence.

Question 1: Does the regression model confirm a correlation between the dependent variable and the independent variable? How do you know? 

Question 2: Is the statistical significance of the model as a whole acceptable for a 95% level of confidence? How do you know? 

Question 3: Is the statistical significance of the linear relationship between the dependent and independent variable acceptable for a 95% level of confidence? How do you know? 

Question 4: What is the regression equation for the model? 

Question 5: What is the predicted birth length of a newborn whose father is 75.3 inches tall?