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1. (10 pts.) Consider investing $100 at various interest rates compounded annually. (a) Complete the following table for the amount A in the account after 10 years. The values of A should be computed via an Excel formula. \begin{tabular}{c|c} $r$ & $A$ \\ \hline 0.01 & \\ 0.015 & \\ 0.02 & \\ 0.025 & \\ 0.03 & \\ 0.035 & \\ 0.04 & \\ 0.045 & \\ 0.05 & \\ 0.055 & \\ 0.06 & \\ \end{tabular} (b) Create a scatter plot of the above data. (c) Include in the plot the Least Squares Regression Line and the value of $R^2$. (d) Use the regression line (creating a formula in Excel) to estimate the value of A when $r$ is 3%. (e) Evaluate (in Excel) the difference between the estimate and the original (exact) value.

          1. (10 pts.) Consider investing $100 at various interest rates compounded annually.
(a) Complete the following table for the amount A in the account after 10 years. The
values of A should be computed via an Excel formula.
\begin{tabular}{c|c}
$r$ & $A$ \\ \hline
0.01 & \\
0.015 & \\
0.02 & \\
0.025 & \\
0.03 & \\
0.035 & \\
0.04 & \\
0.045 & \\
0.05 & \\
0.055 & \\
0.06 & \\
\end{tabular}
(b) Create a scatter plot of the above data.
(c) Include in the plot the Least Squares Regression Line and the value of $R^2$.
(d) Use the regression line (creating a formula in Excel) to estimate the value of A when
$r$ is 3%.
(e) Evaluate (in Excel) the difference between the estimate and the original (exact) value.
        
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1. (10 pts.) Consider investing 100 at various interest rates compounded annually.
(a) Complete the following table for the amount A in the account after 10 years. The
values of A should be computed via an Excel formula.
r   A

0.01    

0.015    

0.02    

0.025    

0.03    

0.035    

0.04    

0.045    

0.05    

0.055    

0.06    

(b) Create a scatter plot of the above data.
(c) Include in the plot the Least Squares Regression Line and the value ofR^2.
(d) Use the regression line (creating a formula in Excel) to estimate the value of A whenris 3%.
(e) Evaluate (in Excel) the difference between the estimate and the original (exact) value.

Added by Chelsea T.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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1.10 pts. Consider investing $100 at various interest rates compounded annually. a. Complete the following table for the amount A in the account after 10 years. The values of A should be computed via an Excel formula. | Interest Rate | A | |---------------|---------| | 0.01 | Formula | | 0.015 | Formula | | 0.02 | Formula | | 0.025 | Formula | | 0.03 | Formula | | 0.035 | Formula | | 0.04 | Formula | | 0.045 | Formula | | 0.05 | Formula | | 0.055 | Formula | | 0.06 | Formula | b. Create a scatter plot of the above data. c. Include in the plot the Least Squares Regression Line and the value of R. d. Use the regression line to create a formula in Excel to estimate the value of A when T is 3%. e. Evaluate (in Excel) the difference between the estimate and the original exact value.
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Transcript

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00:01 Hi, in this question we are given with the future value f of t that is equals to 120 times 1 .126 raised to power t which is in thousands of dollars and for the first part we need to find the future value after t is equals to 10 years.
00:19 So substituting this value we get f at 10 is equals to 120 times 1 .126 raised to power 10 and solving this we get the final result that it will be equals to 393 .156 thousands dollar.
00:39 Next we will solve for the second part b where we need to find the rate of change of the investment that means f dash t that will be equals to 120 times ln of 1 .126 times 1 .126 raised to power 10 as we need to find for t as 10.
01:05 So we get 120 times ln 1 .126 times 1 .126 raised to power 10 and solving this we get the final result that in this case the value will be equals to 46 .656 thousands of dollars...
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