2. Study Time vs. Test Score. Is there a relationship between the number of hours a student studies for a particular exam and the score that they receive? Here is the data (to the right) on ten students from a particular class taking the same exam. Study Test Hours Score % 3 80 90 75 80 7 90 1 50 65 7 85 1 40 a) Insert the scatterplot based off the data point. 7 100 Scatter plot R Excel b) Determine the regression equation. Use test scores as response variable. Regression line: ŷ = Regression %3D Line r2 r2 = R Output Excel Output c) Use the line of regression to estimate the predicted test score for 4 hours of studying

2. Study Time vs. Test Score. Is there a relationship between the number of hours a student studies for a particular exam and the score that they receive? Here is the data (to the right) on ten students from a particular class taking the same exam. Study Test Hours Score % 3 80 90 75 80 7 90 1 50 65 7 85 1 40 a) Insert the scatterplot based off the data point. 7 100 Scatter plot R Excel b) Determine the regression equation. Use test scores as response variable. Regression line: ŷ = Regression %3D Line r2 r2 = R Output Excel Output c) Use the line of regression to estimate the predicted test score for 4 hours of studying

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

2. Study Time vs. Test Score. Is there a relationship between the
number of hours a student studies for a particular exam and the
score that they receive? Here is the data (to the right) on ten
students from a particular class taking the same exam.
Study
Test
Hours
Score %
3
80
90
2
75
80
7
90
1
50
65
7
85
1
40
a) Insert the scatterplot based off the data point.
7
100
Scatter plot
R
Excel
b) Determine the regression equation. Use test scores as response variable.
Regression line: ŷ =
|+
Regression
ŷ =
Line
r2
r2 =
R Output
Excel
Output
c) Use the line of regression to estimate the predicted test score for 4 hours of studying
(Use R predict function)

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