Complete the following worksheet and then use it to calculate the coefficient of determination. xi yi ŷ (1-5)² (vi-5)² (x-5)² 1 12 265.2 253.2 2,277.2 144.0 1,275.9 23 2 20.2 279.6 286.2 216.7 43.6 454.5 27 311.2 313.5 158.3 5.3 105.7 4 30 328.0 325.6 609.1 5.8 733.3 5 30 355.0 325.6 609.1 864.4 2,924.6 6 21.4 281.2 291.0 98.4 96.0 388.9 7 21.6 288.4 291.8 83.2 11.6 156.8 8 25.2 292.8 306.3 28.9 182.3 65.9 9 15 37.2 358.0 354.5 10 14.4 263.2 262.9 11 15 272.4 265.3 12 22.4 291.2 295.0 13 23.9 299.6 301.0 14 26.6 307.6 311.9 15 30.7 320.4 328.4 Total 2,870.8 12.3 3,258.1 1,445.5 0.1 1,422.8 1,268.8 50.4 813.4 35.0 14.4 94.5 0.0 2.0 1.7 120.6 18.5 44.6 755.2 64.0 379.5 The coefficient of determination (r) is The F-ratio is , which means that the assessor reject, at the 5% level of significance, the null hypothesis that there is no relationship between the selling price and the area of the house. (Hint: The critical value of Fo.05,1,1is 4.67.) Which of the following is an approximate 95% prediction interval for the selling price of a house having an area (size) of 15 (hundred) square feet? 171.8 to 218.4 173.5 to 216.7 243.7 to 286.9

Compute the R² using the following information. What does this number mean? Wage = 4.43 +0.61Edu + e n = 1089, SST = 37211.6, SSE 37211.6, SSE 19848.2 R² = = = 0.4666. 46.66% of the variation in wage can be explained by education. R² = 0.5334. 53.34% of the variation in wage can be explained by education. R² = 0.61.61% of the variation in wage can be - explained by education. R² = 0.3043. 30.43% of the variation in wage can be explained by education.

Question 2

Question 22 A computer depreciates 32% per year. A computer is bought for $1200. What is an equation to model this where V is the value of the computer and t is the years that passs since it is bought. Ov= 1200(-0.32)t OV= 1200(0.32) OV = 1200(1.32) OV = 1200(0.68) Question 23 A computer depreciates 32% per year. A computer is bought for $1200. What is an equation for the year since the comupter is bought as a function of the computer's worth? Ot=10g0.68 (1200)

Use matrices to solve the following pairs of simultaneous equations: 3x + 4y = -1 and 5x - y = 6

2 The sample variance is _______. a 8285.94     b 9469.64     c 10521.83     d 11690.92

Find the coefficient of x2y3z3 in the expansion of(x + y + z)8.

A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: Area = 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a…

The sum of squared residuals for the first group (SSR1) is 15.3 and for the second group (SSR2) is 25.7. Each group contains 12 observations after removing the central observations and this model has only one independent variable. Calculate the F-statistic (rounded to two dp) (a) 2.57 (b) 2.41 (c) 1.92 (d) 1.68 (e) 1.67

A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: Area = 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a…