If the true model is given by y=Bo+B1X1+B2X2+ɛ but we omit X2then Select one: O a. None of the above O b. the forecast of y will be biased Oc. if X1 and X2 are uncorrelated, the t statistic for testing B1=0 from the model with omitted variables is likely to be larger in absolute value than that from the true model O d. the estimated B1 will be biased O e. if X1 and X2 are uncorrelated, the s.e. of estimated B1 with omitted variables will be smaller than the s.e. of estimated B1 with the true model

116). With 77.4 and y 77.2, you You run a regression analysis on a bivariate set of data (n obtain the regression equation y -1.848z+56.533 0.092. You want to predict what value (on average) for the with a correlation coefficient of r= response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? %3D (Report answer accurate to one decimal place.)

I know the answer between choice I) and choice II) is: I) But why is it choice I)?

SHOW STEP BY STEP. pls

The full question for the last question is written down below  Fail/fail to reject H0. There is insufficient/sufficient evidence at the 10​% level of significance to support the claim that there is a linear relationship between weight and number of hours slept.

Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?

This dataset of size n - 51 is for the 50 states and the District of Columbia in the United States. The variables are - year 2002 birth rate per 1000 females 15 to 17 years old and z- poverty rate (the percent of the state's population living in households with in- comes below the federally defined poverty level) i- 13.1 - 22.3 R- 51, Su - E(-2) - 914.7 S, - E( -2)( - 6) - 1, 256.2 Su - E(m - M) - 3, 249 SSE - E(w - - 1, 509.6 1. Find A. A and r. 2. Write the fitted linear regression model for ý, in terms of z, A, and A- For A and , use the values you obtained in problem 1. 3. Interpret the slope of the least squares line based on the context. 4. Find SST, SE and SSR. 5. Find R* and . 6. Complete a chart for ANOVA df MS pvalue Source Regression Error Total 7. Complete a chart for Parameter Estimates. t-value pvalue Parameter Intercept Slope Estimate S.e. 8. What is the residual e, for the observation (.) - (20.1,31.5)? 9. What is the conclusion for the test Ha : -0 vs Ho : +0 with a -…