The prices (in $) of Rawlston, Inc. stock ( y ) over a period of 12 days,
Question:
The prices (in $) of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of company's stocks sold
(x1),
and the volume of exchange (in millions) on the New York Stock Exchange
(x2)
are shown below.
Day | y | x1 | x2 |
---|---|---|---|
1 | 87.50 | 951 | 10.75 |
2 | 86.00 | 944 | 11.50 |
3 | 84.00 | 941 | 12.00 |
4 | 83.00 | 931 | 12.00 |
5 | 84.50 | 934 | 11.75 |
6 | 84.00 | 934 | 13.25 |
7 | 82.00 | 933 | 13.00 |
8 | 80.00 | 939 | 14.25 |
9 | 78.50 | 926 | 15.25 |
10 | 79.00 | 901 | 16.75 |
11 | 77.00 | 874 | 16.75 |
12 | 77.50 | 871 | 17.75 |
Excel was used to determine the least squares regression equation. Part of the computer output is shown below.
df | SS | MS | F | Significance F | |
---|---|---|---|---|---|
Regression | 2 | 117.8205 | 58.9103 | 37.6126 | 0.0000 |
Residual | 9 | 14.0961 | 1.5662 | ||
Total | 11 | 131.9167 |
Coefficients | Standard Error | t Stat | P-value | |
---|---|---|---|---|
Intercept | 116.6540 | 33.7992 | 3.45 | 0.0073 |
(x1) | 0.0148 | 0.0318 | 0.47 | 0.6519 |
(x2) | 1.5315 | 0.3579 | 4.28 | 0.0021 |
Questions:
1) Use the output shown above and make equation that can be used to predict the price of the stock. (Round your numerical values to four decimal place. ) =???
2) Interpret the coefficients of the estimated regression equation that you found in part (a). (Give your answers in dollars. Round your answers to four decimal places.)As the number of shares of the stock sold goes up by 100 units, the stock price goes down by $=???? when the volume of exchange on the NYSE is held constant. As the volume of exchange on the NYSE goes up by 1 million, the stock price goes down by $=??? when the number of shares of the stock sold is held constant.
3) At a 0.01 level of significance, determine which variables are significant and which are not.State the null and alternative hypotheses for the number of shares (in 100s) of company's stocks sold. (Enter != for as needed.)
4) Find the value of the test statistic. (Round your answer to two decimal places.) ???
5) Find the p-value. (Round your answer to four decimal places.)
P-Value=???
6) What is your conclusion at the 0.01 level of significance?
Answers options:
a) Do not reject H0. There is insufficient evidence to conclude that the number of shares (in 100s) of company's stocks sold is a significant factor.
b) Reject H0. There is insufficient evidence to conclude that the number of shares (in 100s) of company's stocks sold is a significant factor.
c) Do not reject H0. There is sufficient evidence to conclude that the number of shares (in 100s) of company's stocks sold is a significant factor.
d) Reject H0. There is sufficient evidence to conclude that the number of shares (in 100s) of company's stocks sold is a significant factor.
8) Find the value of the test statistic. (Round your answer to two decimal places.)???
9) Find the p-value. (Round your answer to four decimal places.)???
An Introduction To Statistical Methods And Data Analysis
ISBN: 9781305465527
7th Edition
Authors: R. Lyman Ott, Micheal T. Longnecker