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- Step 4 The following table summarizes the given data and the forecast values. There will not be a forecast error for the first month. Complete the columns for the forecast error and squared forecast error. Month Value Forecast Value 1 2 3 4 5 6 7 19 27 23 28 24 23 28 19 23 23 24.25 24.2 24 Forecast Error Actual - Forecast Submit Skip (you cannot come back) 27 19 = 8 0 5 -0.25 4 Total Squared Forecast Error (Actual - Forecast)² (8)² = 64 0 1.44 The MSE will be the average of the squared forecast error column. Find the average of this column, rounding the result to two decimal places. MSE =The following is data for the first and second Quiz scores for 8 students in a class. First Quiz (Q1) Second Quiz (Q2) 15 15 16 13 17 15 22 21 24 24 26 21 29 27 30 27 Plot the points in the grid below, then sketch a line that best fits the data. Use the line above to predict the value of the second quiz score if a student had a score of 1212 on the first test. (Please enter a whole number)The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.4 6.6 13.7 11 9.3 X = thousands of automatic weapons y = murders per 100,000 residents 3.7 7.5 This data can be modeled by the equation y = Answer = 2.4 2.6 2.4 0.4 6.3 5.9 6.2 4.1 to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = 0.84x +4.01. Use this equation A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons? Round to 3 decimal places.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.6 7.2 3.6 13.5 11.3 10.1 x = thousands of automatic weapons y = murders per 100,000 residents 2.4 2.8 2.3 0.9 7 6.1 6.6 5.9 4.7 This data can be modeled by the equation y = 0.83x +4.06. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 11 thousand automatic weapons? Round to 3 decimal places.Which of the following is not one of the uses of a scatter plot and regression line a. to estimate the average y at a specific value of x. b. All three are uses of the scatterplot and regression line c. to determine if a change in x causes a change in y d. to predict y at a specific value of x.4. Summary statistics for the data are shown in the table below. Меan Standard Deviation Iland, x 17.682 1.168 Foot, y 23.318 1.230 Pearson correlation r 0.948 (a) Find the slope by using the formula (b) Find the y-intercept by using the formula a = y – br (c) Find the regresssion equation, using the words "IHand" and "Foot," not r and y. (d) Using the regression equation, predict the foot length (in em) for someone who has a hand length of 18 cm.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.5 8.4 6.8 3.4 2.5 2.6 2.6 0.9 13.5 10.9 9.8 6.7 6.3 6.4 4.5 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation 0.83x + 3.99. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer Round to 3 decimal places.The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results: Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7.1 3.4 2.6 2.8 2.6 0.7 y 13.8 11.3 9.9 6.8 6.4 6.7 6.1 4.4 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x +4.02. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 8 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.
