The following are advertised sale prices of color televisions at an electronics store. Please answer subparts (D,E,F) Size (inches) Sale Price ($) 9 157 20 197 27 277 31 447 35 1177 40 2177 60 2497 Part (d) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r = Part (f) Find the estimated sale price for a 33-inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Find the estimated sale price for a 46-inch television. (Use your equation from part (d). Round your answer to two decimal places.) $
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.
The following are advertised sale prices of color televisions at an electronics store. Please answer subparts (D,E,F)
| Size (inches) | Sale Price ($) |
|---|---|
| 9 | 157 |
| 20 | 197 |
| 27 | 277 |
| 31 | 447 |
| 35 | 1177 |
| 40 | 2177 |
| 60 | 2497 |
Part (d)
Part (e)
r =
Part (f)
$
Find the estimated sale price for a 46-inch television. (Use your equation from part (d). Round your answer to two decimal places.)
$
Solution:
Let X be the size and Y be the sale price.
The given data is
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