Question

The standard method of analyzing the specific activity of the enzyme sucrase of people who underwent an intestinal bypass is called the pellet method. A new method called the ho- mogenate method has been developed and people want to be able to compare the methods and have a way of predicting the homogenate value based on the pellet value. They are test- ing the theory that pellet method value and homogenate value are positively linearly related. A SRS of 25 people were sampled and their homogenate values and pellet values were taken. Scatter plot of homogenate value versus pellet value is shown in the following, as well as linear regression results Scatter Plot 1 00 200 300 400 Pellet Value Parameter Estimate Std. Err. DFT-Stat P-Value Intercept9.21554.2113232.18820.0391 Slope 0.26690.0692233.85790.0004

A. What are the correct hypotheses corresponding to ’Slope’s T-Stat 3.8579 and p-value 0.0004?

(a) H0 : slope = 0.2669 and Ha : slope 6= 0.2669

(b) H0 : slope = 0.2669 and Ha : slope > 0.2669

(c) H0 : slope = 0 and Ha : slope > 0

(d) H0 : slope = 0 and Ha : slope < 0

(e) H0 : slope = 0 and Ha : slope 6= 0

B. Based on the scatter Plot, what is the best guess of the correlation coefficient?

(a) ?0.9

(b) ?0.2

(c) 0

(d) 0.2 (e) 0.9

C.  There is a claim that the pellet value and the homogenate value are positively linearly related. To test this claim, what is the p-value?

(a) 0.0988

(b) 0.0004

(c) 0.0002

(d) 0.0008

(e) None of the above

D. What is the best interpretation of the slope of the regression line?

(a) On average, homogenate value increases about 0.27 when the pellet value increases by 1.

(b) On average, pellet value increases about 0.27 when the homogenate value increases by 1.

(c) On average, homogenate value increases about 9.2 when the pellet value increases by 1. 8

(d) On average, pellet value increases about 9.2 when the homogenate value increases by 1.

(e) None of the above

Answer 1

a)option C is correct

(c) H0 : slope = 0 and Ha : slope > 0

b)as correlation seems to be positive and strong

hence correlation= 0.9

c)

(b) 0.0004

d)

(a) On average, homogenate value increases about 0.27 when the pellet value increases by 1