A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. What is the meaning of the yy-value on the line when x=110x=110?
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- The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.Hello, please help me to solve the question below.Consider this regression model: Yt = β0 + β1 Ut + β2 Vt + β3 Wt + β4 Xt + εt ; where t= 1, ..., 75.We use OLS to estimate the parameters, producing the following model:Ŷt = 1.115 + 0.790 Ut − 0.327 Vt + 0.763 Wt + 0.456 Xt (0.405) (0.178) (0.088) (0.274) (0.017) Given that:R2 = 0.941; Durbin Watson stat DW = 1.907; RSS = 0.0757.(To answer the question, use the 5% level of significance, state clearly H0 and H1 that are tested, the test statistics that are used, and interpret the decisions.) (a) Describe the concepts of unbiasedness and efficiency. State the conditions required of regression (1) in order that the OLS estimators of the model parameters possess these properties. (b) Perform the following tests on the parameters of regression (1): (i) test whether the parameters β1, β2, β3 and β4 are individually statistically significant; (ii) test the overall significance of the regression model; (iii) test whether…Statistical software was used to fit the model E(y)=β0+β1x1+β2x2 to n=20 data points. Complete parts a through h. The regression equation is Y=1676.53−940.95x1−164.58x2 Predictor Coef SE Coef T P Constant 1676.53 316.6 5.3 0.000 X1 −940.95 257.21 −3.66 0.002 X2 −164.58 231.08 −0.71 0.487 S=298.441 R-sq=57.0% R-sq(adj)=52.0% Analysis of Variance Source DF SS MS F P Regression 2 2,015,321 1,007,661 11.31 0.001 Residual Error 17 1,514,138 89,067 Total 19 3,529,459 a. What are the sample estimates of β0, β1, and β2? β0 = enter your response here β1 = enter your response here β2 = enter your response here (Type integers or decimals.)
- d. Draw the regression line on the scatter diagram using the yp points.e. Find y for x = 50 x 20 10 30 40 60 70 y 20 20 30 50 60 80(a) Obtain the regression Equation (4 decimal places) (b)Calculate R2 (4 decimak places) (c) Calculate the number of unusual residuals and number of outliers PASTA SAUCE per gram total calories and fat calories n=20 products Product Fat calories per gram Calories per gram Barilla Roasted Garlic & Onion 0.20 0.64 Barilla Tomato & Basil 0.12 0.56 Classico Tomato & Basil 0.08 0.40 Del Monte Mushroom 0.04 0.48 Five Bros Tomato & Basil 0.12 0.64 Healthy Choice Traditional 0.00 0.40 Master Choice Chunky Garden Vegetable 0.08 0.56 Meijer All Natural Meatless 0.08 0.55 Newman's Own Traditional 0.12 0.48 Paul Newman Venetian 0.12 0.48 Prego Fresh Mushroom 0.38 1.25 Prego Hearty Meat−Pepperoni 0.33 1.00 Prego Hearty Meat−Hamburger 0.29 1.00 Prego Traditional 0.33 1.17 Prego Roasted Red Pepper & Garlic 0.25 0.92 Ragu Old World Style w/meat 0.25 0.67 Ragu Roasted Red Pepper & Onion 0.20 0.86 Ragu…Compare the linear regression data for two students walking in front of a motion sensor: Bob’s walk d = 0.75t + 2 r = 0.70 Tracey’s walk d = 0.75t + 2 r = 0.95 a) How are the movements of these walkers similar? different? b) Sketch possible distance versus time graphs for Bob and Tracey.
- Kindly help me with g) h) i) although I know the answer for i) R^2 = 0.7447 and Adjusted R square 0.5989. If you could help interpret it. Here are the answers for the previous ques. for reference. (a) Thus, the multiple linear regression line is, y = (–102.7132) + 0.6054 x1 + 8.9236 x2 + 1.4375 x3 + 0.0136 x4 (b) y = (–102.7132) + 0.6054 (75) + 8.9236 (24) + 1.4375 (90) + 0.0136 (98) = (–102.7132) + 45.405 + 214.1664 + 129.375 + 1.3328 = 287.566 (c) the P-value for the overall model is 0.030302769. It is known that, if the P-value is less than or equal to the level of significance, then reject the null hypothesis. Or else, fail to reject the null hypothesis. Here, the level of significance is 0.05. Hence, the obtained P-value is less than the level of significance. Thus, the null hypothesis is rejected. Therefore, there is enough evidence to claim that the regression model is significant at 5% level of significance. (d) The mean square error is the estimate value of…Which of the following statements are true regarding the simple linear regression modely=β0+β1 x1+ε1 A. εi is a nonrandom error. B. Β0 is the slope of the regression line. C. Β1 is the y-intercept of the regression line. D. yi is a value of the dependent variable (y) and xi is a value of the independent variable (x).Given are five observations for two variables, x and y. x 1 2 3 4 5 y 4 7 7 11 13 Develop the estimated regression equation by computing the values of b0 and b1 (to 1 decimals).y=___________ + ___________xUse the estimated regression equation to predict the value of y when x=3 (to 1 decimals). y=___________
- length,x 1 2 3 4 observed y 4.4 5 6.6 7 predicted y 4.34 5.28 6.22 7.16 calculate the regression standard error, ?I am lost ont his, help! The table below contains the average public school classroom teacher's salaries, yy, for an 11-year period. If xx represents the number of years since 1990, use Excel to find a linear model for the data. Year 1990 1991 1992 1993 1994 1995 Salary 32731 33463 35888 34411 36287 36946 Year 1996 1997 1998 1999 2000 Salary 36884 40097 42184 43146 40548 With the salary given by y=mx+bm = b =Town A B C D E F GPopulation (lakh) (X ) 11 14 14 17 17 21 25No. of TV sets demanded ('000) (Y ) 15 27 27 30 34 38 46Fit a linear regression of Y on X and estimate the demand for TV sets for a city with apopulation of (a) 20 lakh and (b) 32 lakh.