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Find the equation of the regression line

Question

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Find the equation of the regression line.

Construct a scatter plot of the data and draw the regression line. Plot the x-values on the horizontal axis and they-values on the vertical axis.

Construct a residual plot. Plot the x-values on the horizontal axis and the residuals on the vertical axis.

Determine if there are any patterns in the residual plot and explain what they suggest about the relationship between the variables. ( The residual plot shows/does not show a pattern because the residuals fluctuate/do not fluctuate about 0. This implies the regression line is/is not a good representation of the relationship between the variables.

 
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Result Brand-name Generic Placebo Improvement

Question

 Result                  Brand-name      Generic       Placebo
Improvement            

  16                    29                13
No change                  12                    20                 44

Calculate the marginal frequencies and sample size.

Find the expected frequency for each cell in the contingency table.

Assume that the variables are independent.

 
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Result Brand-name Generic Placebo Improvement

Question

 Result                  Brand-name      Generic       Placebo
Improvement            

  16                    29                13
No change                  12                    20                 44

Calculate the marginal frequencies and sample size.

Find the expected frequency for each cell in the contingency table.

Assume that the variables are independent.

 
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Find the equation of the regression line for the given data

Question

 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw

the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.

Height, x                Stories, y
768                            52
628                           48
518                            50
511                             27
491                            38
478                           34


(a) x=502 feet
(b) x=652 feet
(c) x=802 feet
 
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