The following table contains data for the number of bacteria y  (in millions) growing in a particular medium after x hours. Using a calculator or statistical software, find the linear regression line for the data in the table.Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places.x  y 03.6715.2427.04310.3149.83511.04614.68715.02

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Asked Nov 27, 2019
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The following table contains data for the number of bacteria y  (in millions) growing in a particular medium after x hours. 

Using a calculator or statistical software, find the linear regression line for the data in the table.

Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places.

 y 

0

3.67

1

5.24

2

7.04

3

10.31

4

9.83

5

11.04

6

14.68

7

15.02

 
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Expert Answer

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Step 1

The data is provided for the number of bacteria y (in millions) growing in a particular medium after x hours. The provided data is,

у
03.67
15.24
2 7.04
3 10.31
49.83
5 11.04
6 14.68
7 15.02
х
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у 03.67 15.24 2 7.04 3 10.31 49.83 5 11.04 6 14.68 7 15.02 х

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Step 2

Excel is used to analyze the provided data to obtain the required regression line. Steps are as:

  1. Enter the data in the spreadsheet.
  2. Go to Data>Data Analysis&...
SUMMARY OUTPUT
Regression Statistics
0.979093379
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
0.958623844
0.951727818
0.904137425
8
ANOVA
df
gnificance F
SS
MS
Regression
Residual
1 113.6366 113.6366 139.0111 2.25E-05
6 4.904787 0.817464
Total
7 118.5414
Coefficients andard Err tStat
P-value Lower 95%Upper 95%ower 95.0pper 95.0%
Intercept
3.846666667 0.583618 6.591067 0.000586 2.418604 5.274729 2.418604 5.2774729
1.644880952 0.139511 11.79029 2.25E-05 1.303509 1.986253 1.303509 1.986253
X
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SUMMARY OUTPUT Regression Statistics 0.979093379 Multiple R R Square Adjusted R Square Standard Error Observations 0.958623844 0.951727818 0.904137425 8 ANOVA df gnificance F SS MS Regression Residual 1 113.6366 113.6366 139.0111 2.25E-05 6 4.904787 0.817464 Total 7 118.5414 Coefficients andard Err tStat P-value Lower 95%Upper 95%ower 95.0pper 95.0% Intercept 3.846666667 0.583618 6.591067 0.000586 2.418604 5.274729 2.418604 5.2774729 1.644880952 0.139511 11.79029 2.25E-05 1.303509 1.986253 1.303509 1.986253 X

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