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- Conduct a hypothesis for whether consumption and income are linearly related using ? =0.01. The standard error of the slope is 0.144. Slope = 0.75, Intercept = 0, sample:Income 9, 11, 5, 8, 2, 9, 12Consumption 7, 7, 2, 7, 2, 8, 9 Step 1: State the null and alternative hypotheses.Step 2: Choose the significance level.Step 3: Calculate the test statistic.Step 4: Find the critical value(s).Step 5: Compare the test statistic to the critical value(s).Step 6: State the conclusion.You run a regression analysis on a bivariate set of data (n = 53). You obtain the regression equation y = 1.478x 22.799 with a correlation coefficient of = 0.783 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 130 on the response variable. What is the predicted explanatory value? X = (Report answer accurate to one decimal place.)What is your best estimate of the correlation coefficient shown here? VARIASLE X +1.0 +0.8 0.0 -0.8 -1.0
- Answer it correctly and explain well.Typed answer only. Do it fast.True/false (please explain). Suppose that a regression of Y on X₁ is unbiased, and the true slope coefficient is 2. Another variable X2 is correlated with Y, but it is uncorrelated with X₁. In expectation, the default t-statistic on B₁ will be larger in the multivariate regression that includes X₂ than in the bivariate regression that omits X₂.The correlation coefficient between midterm and final scores in a large statistics class is r=0.6. A scatterplot of the two variables is football shaped. A particular student has a midterm score that is 0.5 SDs below the average midterm score of all students. Using regression, we would predict that the student's final score is _________ SDs _________ the average final score of all students and therefore at the _________ percentile of final scores of all students.
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- You run a regression analysis on a bivariate set of data (n=109). With x¯=72.2 and y¯=34.7, you obtain the regression equation y= - 0.898x - 42.514 with a correlation coefficient of r=-0.086. You want to predict what value (on average) for the response variable will be obtained from a value of 140 as the explanatory variable. What is the predicted response value? y =Sarah has some data and wants to run a linear regression model on it. Before she runs the test, she knows she needs to check to make sure all conditions are met. Based only on the plots below, what condition is not met? Data Scatterplot Normal Probability Plot Residual Scatterplot 25 100 Regression Standardoed Predcted Vale Observed Cum Prob Linearity O Normality Equal Variances O Independence O The plots do not show a problem with any of the listed conditions.Which of the following tools is not appropriate for studying the relationship between two numerica variables? Correlation coefficient Scatter plot Historam Regression