b. What is your regression line written in the form ŷ = a+bx? (Round a and b to 3 decimal places pleasel) b. Use your regression equation above to predict the height of a building with 70 stories: (Please enter a whole number) C.Compute the coefficient of determination (write It as a decimal here). d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. 96 e. The predictor variable,x, is and the response variable is 1. How would you interpret the slope-of the regression line in words? For every 1 foot increase in height, the number of stories increases by about 11.76 stories on average. O For every 1 story increase in the number of stories a building has, the height increases by about 11.76 feet on average. OA1-story building will be 11,76 feet high O For each 102.43 stories increase in the number of stories, the height will increase by 1 foot, on average. OFor every 1 story increase in the number of stores a bulding has, the height increases by about 102.43 feet on average. RWould it be valid to use this regression line to estimate the average height of a building with 10 stories?
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.
 alt="b. What is your regression line written in the form ŷ = a+bx? (Round a and b to 3 decimal places
pleasel)
b. Use your regression equation above to predict the height of a building with 70 stories:
(Please enter a whole number)
C. Compute the coefficlent of determinatlon (wrlte It as a decimal here).
d. Determine the percentage of the variation in the observed values of the response variable,
height, explained by the regression with the explanatory variable, stories.
and the response variable is
e. The predictor variable,x, is
f. How would you interpret the stope of the regression line in words?
OFor every 1 foot increase in height, the number of stories increases by about 11.76 stories on
average.
O For every 1 story increase in the number of stories a building has, the height increases by
about 11.76 feet on average.
OA 1-story building will be 11.76 feet high
O For each 102.43 stories increase in the number of stories, the height will increase by 1 foot, on
average.
O For every 1 story increase in the number of stores a building has, the height increases by
about 102,43 feet on average.
A Would it be valid to use this regression line to estimate the average height of a building with 10
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