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- In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0, it means that the relationship between X1 and Y is significant the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constant. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2 the estimated mean of Y is 2 when X1 equals zero.2. The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm’s short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ2 where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners produced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 0.7360 39.428 0.0001 PARAMETER STANDARDVARIABLE ESTIMATE ERROR T-RATIO P-VALUEINTERCEPT 191.93 54.65 3.512 0.0029 Q - 0.0305 0.00789 23.866 0.0014 Q2 0.0000024…A scientist claims that there is a linear relationship between a lake’s flow rate and its runoff factor. The scientist collected data and used the data to test the claim that there is a linear relationship at a significance level of α=0.05α=0.05. The scientist tested the following hypotheses. H0: β1=0 Ha: β1≠0 The scientist found a p-value of 0.02 for the test. Which of the following is a correct conclusion about the scientist’s claim? A. The null hypothesis is rejected since 0.02<0.05. There is sufficient statistical evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. B. The null hypothesis is not rejected since 0.02<0.05. There is sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. C. The null hypothesis is rejected since 0.02<0.05. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. D.…
- If the coefficient of determination (R2) value is 0.99, it means the 99% of ____________ of the observed y-values of are explained by the __________ of the predicted y-values, and only 1% remains unexplained.Non-fulfilment of the zero-mean assumption for the disturbance term leads to the problem of _____. Select one: a. biased intercept and slope b. biased intercept c. none of the above d. biased slope23. If SP = -16.32 and SSX = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation? positive -0.41 Need SSY to compute -2.45
- Which of the following statements is TRUE? I. In multiple linear regression, there should not be any collinearity among the independent variables. II. In regression the independent variable is predicted by dependent variable. III. The best fit line is the line that minimizes the sum of the residues. a.) I and II b.) I and III c.) II and III d.) I, II, IIIIf the equation of the regression line that relates hours per week spent in the tutor lab, x, to GPA, y, is y=2.1+0.28, then the best presdiction for the GPA of students who never go into the lab would be 2.1 True Or FalseFind the curve of best-fit y = axb to the following data by using the method of least square.
- The following table shows the annual number of PhD graduates in a country in various fields. NaturalSciences Engineering SocialSciences Education 1990 70 10 60 30 1995 130 40 120 50 2000 330 130 280 140 2005 490 370 460 210 2010 590 550 830 520 2012 690 590 1,000 900 (a) With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.) y(x) = Graph the associated points and regression line. (b) What does the slope tell you about the relationship between the number of social science doctorates and the number of education doctorates? The slope tells us the increase in the number of education doctorates for each additional social science doctorate.The slope tells us the decrease in the number of education doctorates for each additional social science doctorate. The slope tells us the increase in the number…The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.6 7.1 3.3 2.4 2.3 2.4 0.7 yy 13.7 11.1 10.4 6.9 6.4 6.2 6.1 4.9 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.83x+4.28.y=0.83x+4.28. 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 10.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.6 thousand automatic weapons?Answer = Round to 3 decimal places.The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.6 7.1 3.3 2.4 2.3 2.4 0.7 yy 13.7 11.1 10.4 6.9 6.4 6.2 6.1 4.9 xx = thousands of…The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.9 8.1 6.9 3.8 2.3 2.7 2.4 0.7 yy 13.9 11.2 9.7 7.2 5.8 6.4 5.9 4.9 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.83x+4.08.y=0.83x+4.08. 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 9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons?Answer = Round to 3 decimal places.