Identify the Components of Simple Linear Regression Models and Discuss

question 40

Multiple Choice

Identify the components of simple linear regression models and discuss their applications Use the data given below to answer the following question(s) .
Following is an extract from the database of a construction company. The table shows the height of walls in feet and the cost of raising them. The estimated simple linear regression equation is given as Ŷ = b0 + b1X. (Hint: Use Excel functions) . $$\begin{array} { | l | l | } \hline\begin{array} { l } \text { Height } \\\text { (ft) }\end{array} & \text { Cost (\$) } \\\hline 4 & 670 \\\hline 3 & 430 \\\hline 7 & 810 \\\hline 9 & 1100 \\\hline 6 & 790 \\\hline 8 & 880 \\\hline 5 & 760 \\\hline 11 & 1200 \\\hline\end{array}$$
-What is the value of the coefficient b1?

• A) 86.81704
• B) 254.8371
• C) 0.010697
• D) -2.14625

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Definitions:

Least Squares Regression

A statistical method used to find the line of best fit by minimizing the sum of the squares of the residuals between observed and estimated values.

Rain

Precipitation in the form of liquid water drops that have diameters greater than 0.5 millimeters.

Scatter Diagram

A graphical representation of two variables' values to observe any correlations, with individual data points plotted on a two-dimensional plane.

Linear Model

A type of regression model that assumes a linear relationship between the independent and dependent variables.