A set of n = 8 ordered pairs has the following sums. x = 111 x2 = 1,869 y = 618 y2 = 49,374 xy = 7,860 (a) Find the line of best fit. (Round your answers to one decimal place.) ŷ = x + (b) Predict the value of y when x = 5. (Round your answer to one decimal place.) y = (c) Predict the value of x when y = 90. (Round your answer to one decimal place.) x = (d) Find the coefficient of linear correlation. (Round your answer to three decimal places.) (e) Are the predictions in parts (b) and (c) reliable? Why or why not? Yes, they are reliable since the slope is negative. Yes, they are reliable since the correlation coefficient is close to −1. No, they are not reliable since the correlation coefficient is close to −1. Yes, they are reliable since the correlation coefficient is close to 1. No, they are not reliable since the slope is negative.
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.
D & E ONLY PLEASE
A set of n = 8 ordered pairs has the following sums.
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ŷ = x +
(b) Predict the value of y when x = 5. (Round your answer to one decimal place.)
y =
(c) Predict the value of x when y = 90. (Round your answer to one decimal place.)
x =
(d) Find the coefficient of
(e) Are the predictions in parts (b) and (c) reliable? Why or why not?
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