According to the above information, we are able to conduct a t-test to determine the significance of variable x. compute SSE. conduct a F-test to determine the significance of the model. D all of these are correct.
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- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.9 8.3 6.9 3.9 2.7 2.4 2.1 0.7 yy 14.3 11.3 10 7.4 6.5 6.4 5.9 4.9 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.23. 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 5.5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons?Answer = Round to 3 decimal places.With α = .05 and df = 8, the critical values for a two-tailed t-test are t = ±2.306. Assuming all other factors are held constant if the df value were decreased to df = 5, what would happen to the size of the critical regions?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.9 8.6 6.8 3.8 2.6 2.7 2.5 0.5 yy 14 11.5 9.6 7.2 5.9 6.5 6.3 4.6 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+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 7.8 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.5 thousand automatic weapons?Answer = Round to 3 decimal places.
- The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female).ŷ = 30 + 0.7x1 + 3x2Also provided are SST = 1200 and SSE = 384.The yearly income of a 24-year-old female individual is _____.The following estimated regression equation is based on 30 observations. ^y=17.2+3.6x1-2.2x2+7.8x3+2.9x4 The values of SST and SSR are 1805 and 1762, respectively. Compute R2 (to 3 decimals). Compute R2u (to 3 decimals).Use the method of variation of parameters to find a particular solution of the DE…
- Based on your answer in (b), explain on the strength and the variation of the model.(e) At α-value=0.01, test whether there is a significant relationship between the dependent variable (Y) and the independent variables (X1, X2 and X3).X” denote the number of children ever born to a woman, and let “Y” denote years ofeducation for the woman. A simple model relating fertility to years of education is X = β0 + β1Y + u where u is the unobserved error. (i) What kind of factors are contained in u? Are these likely to be correlated with level of education?For b there are two cases and for c I have to plug the initial data into the ode
- Suppose we consider the following model: Xt2 = b0 + b1X2t-1 + ut The estimation of the model provided the following: Xt2 = 0.00043 + 0.23036X2t-1 t = (7.71) (4.97) R2 = 0.0531 d = 1.9933 where Xt2 is as defined before. Given a p value for b1 of .0001 what do conclude about the significance of the model?Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 Compute b0 and b1 (to 1 decimal).b1 b0 Complete the estimated regression equation (to 1 decimal).^y = + x Use the estimated regression equation to predict the value of y when x = 6 (to 1 decimal).^y =If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?