Use the Data Given Below to Answer the Following Questions)

question 52

Multiple Choice

Use the data given below to answer the following questions) .
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) . $$\begin{array} { | r | r | } \hline \text { Height ft) } & \text { Cost \$) } \\\hline 4 & 670 \\\hline 3 & 430 \\\hline 7 & 810 \\\hline 9 & 1100 \\\hline 6 & 790 \\\hline 8 & 880 \\\hline 5 & 760 \\\hline 11 & 1200 \\\hline\end{array}$$
-What is the estimated cost of raising a 10-inch wall?

• A) 1505.786
• B) 1103.578
• C) 968.6109
• D) 1123.008

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Definitions:

Parsimony

The principle of using the simplest or least complicated explanatory means necessary to adequately account for observed phenomena, often used in model selection.

Regression Model

A statistical technique for estimating the relationships among variables, often used for prediction and forecasting.

T-statistic

A type of statistic used in hypothesis testing, calculated from sample data to determine whether to reject the null hypothesis.

Correlation Coefficient

The correlation coefficient is a statistical measure that calculates the strength and direction of a linear relationship between two variables.