Marks of the quiz 5 (quiz5) and the average marks (average) of the first four quizzes are given in results.xlsx. Perform
Posted: Wed May 04, 2022 12:13 pm
Marks of the quiz 5 (quiz5) and the average
marks (average) of the first four quizzes are
given in results.xlsx. Perform regression
analysis to predict quiz 5 marks from the average marks.
a) Write down the explanatory and response variables.
Explanatory variable = [
Select ] ["quiz5", "average"]
Response variable = [
Select ] ["average", "quiz5"]
b) Estimate the parameters of the model and calculate the
coefficient of determination and correlation coefficient.
1. estimated [ Select
] ["average",
"quiz5"] = [
Select ] ["0.9728",
"1.4600"] + [
Select ] ["0.9728",
"1.4600"] ×
[ Select ] ["average",
"quiz5"]
2. When the average result increases by
[ Select ] ["1",
"10"] mark, quiz5 marks
[ Select ] ["decrease",
"increase"] by 0.9728 marks.
3. Correlation coefficient after rounding to 2 decimal
places = [ Select
] ["0.41", "0.64"] .
4. [ Select ]
["Coefficient of determination", "Correlation
coefficient"] gives the proportion of variation in
estimated quiz5 that is explained by the linear relationship
between average and quiz5.
5. [ Select ]
["41.43", "64.37"] % variation in
quiz5 can be explained by the linear relationship between average
and quiz5.
marks (average) of the first four quizzes are
given in results.xlsx. Perform regression
analysis to predict quiz 5 marks from the average marks.
a) Write down the explanatory and response variables.
Explanatory variable = [
Select ] ["quiz5", "average"]
Response variable = [
Select ] ["average", "quiz5"]
b) Estimate the parameters of the model and calculate the
coefficient of determination and correlation coefficient.
1. estimated [ Select
] ["average",
"quiz5"] = [
Select ] ["0.9728",
"1.4600"] + [
Select ] ["0.9728",
"1.4600"] ×
[ Select ] ["average",
"quiz5"]
2. When the average result increases by
[ Select ] ["1",
"10"] mark, quiz5 marks
[ Select ] ["decrease",
"increase"] by 0.9728 marks.
3. Correlation coefficient after rounding to 2 decimal
places = [ Select
] ["0.41", "0.64"] .
4. [ Select ]
["Coefficient of determination", "Correlation
coefficient"] gives the proportion of variation in
estimated quiz5 that is explained by the linear relationship
between average and quiz5.
5. [ Select ]
["41.43", "64.37"] % variation in
quiz5 can be explained by the linear relationship between average
and quiz5.