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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Investment analysts generally believe that the interest rate on bonds is inversely related to the prime interest rate for loans. Use the
following data to construct the least-squares regression line to predict bond rates by the prime interest rate:
Bond Rate (%)
Prime Interest Rate
(%)
5
16
12
6
15
7
17
( a) Compute ΣΧ, ΣΧ2, ΣΥ, ΣΥ2 and ΣΧΥ
(b) Find and interpret the slope of the estimated regression line
(C) Find and interpret the intercept of the estimated regression line.
(d) Write down the equation for the estimated regression line.
(e) Calculate the standard error of the estimate.
(f) Find and interpret a 90% confidence interval for the prime interest rate.
(g) Test the claim that one-point increase in the prime rate will decrease the interest rates on bonds by less than 1%. (Use a = 1%)

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B b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between a = average number of passing yar and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the avera passing yards per attempt. Enter negative value as negative number. WinPct =| |)(Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). The slope of the estimated regression line is approximately So, for every increase : of one yar number of passes per attempt, the percentage of games won by the team increases by %. e. For the 2011 season, the average number of passing yards per attempt for the Kansas City Chiefs was was 5.5. Use th regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs.…
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