A researcher is interested in seeing if there is a relationship the amount of time in minutes a person spends in their car during the day and the number of minutes that person spends listening to music. Car Time 63 14 241 93 140 3 91 45 22 Music Time 73 16 260 142 206 31 78 47 29 a. Find the equation of the regression line and use it to make a prediction of the dollars purchased by someone who visits the website 4 times. b. Interpret the slope in the context of the problem. c. Interpret the y-intercept in the context of the problem or state why it is not applicable. d. State the null and alternative hypotheses for the hypothesis test of correlation e. Find the pvalue and state your conclusion in the context of the study
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A researcher is interested in seeing if there is a relationship the amount of time in minutes a person spends in their car during the day and the number of minutes that person spends listening to music.
|
Car Time |
63 |
14 |
241 |
93 |
140 |
3 |
91 |
45 |
22 |
|
Music Time |
73 |
16 |
260 |
142 |
206 |
31 |
78 |
47 |
29 |
a. Find the equation of the regression line and use it to make a prediction of the dollars purchased by someone who visits the website 4 times.
b. Interpret the slope in the context of the problem.
c. Interpret the y-intercept in the context of the problem or state why it is not applicable.
d. State the null and alternative hypotheses for the hypothesis test of
e. Find the pvalue and state your conclusion in the context of the study.
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