Question

Daily sugar intake (x)	Number of cavities (y)
30	2
40	3
150	3
90	0
75	1
25	1
110	4

The investigator wants to construct a regression equation based on his current sample to be able to predict the number of cavities that a patient develops based only on their sugar intake given the standard deviation for the daily sugar intake is 43.25 and the standard deviation for the number of cavities is 1.41.

6. What is the slope of the line (i.e. what is b1)?

a.0.87 b.0.01 c.1.41 d.0.50

7. What is the y-intercept (i.e. what is b0)?

a.1.26 b.0.50 c.0.01 d.1.15

8. What is the predicted number of cavities for someone who consumes on average 45 grams of sugar a day?

a.1.71 b.1.55 c.0.67 d.1.10

Answer 1

Question 6

The correct option is B

The slope of the line B1 is 0.01

Question 7

The correct option is B

The the y-intercept B0 is 1.26

Question 8

The correct option is A

Predicted number of cavities for someone who consumes on average 45 grams of sugar a day

Given that regresssion equation is y = 1.247 + 0.01⋅x

y = 1.26 +0.01*45

= 1.26 + 0.45

= 1.71