Homework #10: Chapters 11.1-11.2, Due 12/12/22 by Midnight PTQuestion 1:
Using the given data, perform the following actions:
a. Using Minitab, graph a scatterplot between x and y.
b. Calculate Sxx and Sxy.
c. Calculate 𝛽̂0 and 𝛽̂1 .
d. Construct the least-squares regression line between x and y.
e. Predict y when x = 25.
Question 2:
In a study conducted to examine the quality of fish after 7 days in ice storage, ten raw fish of the same
kind and approximately the same size were caught and prepared for ice storage. Two of the fish were
placed in storage immediately after being caught, two were placed in storage 3 hours after being
caught, and two each were placed in storage at 6, 9, and 12 hours after being caught. Let y denote a
measurement of fish quality (on a 10-point scale) after the 7 days of storage, and let x denote the time
after being caught that the fish were placed in ice packing. The sample data is given below:
Time
Quality
0
8.5
0
8.4
3
7.9
3
8.1
6
7.8
6
7.6
9
7.3
9
7.0
12
6.8
12
6.7
a. Using Minitab, graph a scatterplot between time after being caught and fish quality.
b. Calculate Sxx and Sxy
c. Construct the least-squares regression line between time after being caught and fish quality.
d. Interpret the slope of the regression line in context of the problem.
e. Calculate the residual for the fish whose time after being caught was 6 hours and quality was 7.8.
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