Question

4.A coffee company uses a? data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its?package-sealing process, an experiment was conducted to determine the factors in the? bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the? bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. Complete parts? (a) through? (e) below.

a. Construct a scatter plot. Choose the correct graph below.

B. A scatter plot has a horizontal axis labeled Plate Gap from negative 1 to 1 in increments of 0.25 and a vertical axis labeled Tear Rating from negative 1 to 5 to in increments of 1. A series of plotted points range from horizontal coordinates negative 0.8 to 0.5 and vertical coordinates 0.0 to 0.8 with no obvious pattern. Also, the following individual points are plotted: (0.3,2.0), (negative 0.8,3.9), (negative 0.1,4.3). All coordinates are approximate.

Your answer is correct.

b. Assuming a linear? relationship, use the? least-squares method to find the regression coefficients

b0 and b1.

b0	=	________
b1	=	________
		?(Round to four decimal places as? needed.)

Answer 1

Sol:

(a)

Following is the scatter plot of the data:

(b)

Following table shows the calculations for least square regression line:

Sample size: n=19

Now

Slope of the regression equation is

and intercept of the equation will be

So the regression equation will be

y'=0.8673+0.8623x