An economist wanted to investigate the factors that determined the price of petrol RON97. He gathered 17 months of data on the four variables below: Y = Price of petrol RON97 (RM/litre) X1 = Price of world oil (USD/barrel) X2 = Exchange rate (RM/USD) X3 = Quantity demand for petrol RON97 (million litre) The Excel results are shown as follows: ANOVA df Significance F 0.000 MS 0.467 Regression Residual 0.156 32.763 13 0.062 0.005 Total 16 0.529 Coefficients Standard Error t Stat p-value 0.094 0.000 0.003 Intercept -1.132 0.627 -1.805 X1 0.021 0.003 7.000 X2 -0.334 0.092 -3.630 X3 0.010 0.007 1.429 0.165 (a) Determine the regression equation. (b) Determine the coefficient of determination, and interpret. (c) Which independent variables linearly related to the price of petrol RON 95 in this model? Explain.

The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of the company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below. 4. Perform an F test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05 5. Conduct Residual Analysis and fully interpret the meaning. 6. If on a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 10 million, what would you expect the price of the stock to be? GRAPH IS SHOWN BELOW

Seedlings of understory trees in mature tropical rainforests must survive and grow using intermittent flecks of sunlight. How does the length of exposure to these flecks of sunlight (fleck duration) affect growth? Researchers experimentally irradiated seedlings of the Southeast Asian rainforest tree with flecks of light of varying duration while maintaining the same total irradiance to all the seedlings. Below is the data. Fit a linear model to the data. Tree Mean Fleck (min) Relative growth rate (mm/mm/week 1 3.4 0.013 2 3.2 0.008 3 3 0.007 4 2.7 0.005 5 2.8 0.003 6 3.2 0.003 7 2.2 0.005 8 2.2 0.003 9 2.4 0 10 4.4 0.009 11 5.1 0.01 12 6.3 0.009 13 7.3 0.009 14 6 0.016 15 5.9 0.025 16 7.1 0.021 17 8.8 0.024 18 7.4 0.019 19 7.5 0.016 20 7.5 0.014 21 7.9 0.014   a)What is the rate of change in relative growth…

From the image:  One toad in the dataset had a body mass of 128g and a total tested mass of 163 mg. Compute the residual corresponding to this toad and write a sentence interpreting the residual.