A regression analysis was performed, with partial results shown below, along with various plots. In the print-out of results, the square of the correlation coefficient is labeled “Multiple R-squared”.     Explain in terms specific to this analysis (i.e., not just general terms) what this R-squared tells us.   Response:ln_Income Explanatory: Age   Residuals:      Min                  1Q             Median                 3Q                  Max  -0.83978.      -0.28834      -0.05761            0.25615        1.09741    Coefficients:                          Estimate Std. Error       t value     Pr(>|t|)     (Intercept)         9.680077   0.158362   61.13   < 2e-16 *** samp_reg$Age 0.016778   0.003995    4.20     5.76e-05 *** --- Residual standard error: 0.4012 on 101 degrees of freedom Multiple R-squared:  0.1487, Adjusted R-squared:  0.1403  F-statistic: 17.64 on 1 and 101 DF,  p-value: 5.763e-05

The mean height of Americanwomen in their twenties is about 64.3 inches, and the standard deviation is about 3.9 inches. The mean height of menthe same age is about 69.9 inches, with standard deviationabout 3.1 inches. Suppose that the correlation between theheights of husbands and wives is about r 0.5.(a) What are the slope and intercept of the regressionline of the husband’s height on the wife’s height in youngcouples?(b) Draw a graph of this regression line for heights of wivesbetween 56 and 72 inches. Predict the height of the husbandof a woman who is 67 inches tall, and plot the wife’s heightand predicted husband’s height on your graph.(c) You don’t expect this prediction for a single couple to bevery accurate. Why not?

From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient r?

A regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X1 = median age, X2 = number of bankruptcies per 1,000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high school graduation percentage. Click here for the Excel Data File (a) Using the sample size of 45 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p- values to 4 decimal places.) Predictor Intercept AgeMed Coefficient SE tcalc p-value 4,641.0430 798.0634 -28.8630 12.4684 Bankrupt 20.1604 12.1079 FedSpend HSGrad% -0.0181 0.0181 -30.3196 7.1136 (b-1) What is the critical value of Student's tin Appendix D for a two-tailed test at a = .01? (Round your answer to 3 decimal places.) -value =

• In a political science class, the teacher gives a midterm exam and a final. The association between midterm and final scores is linear. The summary statistics are shown below. Midterm Mean=75, Midterm Standard Deviation=10 Final Mean=75, Final Standard Deviation=10 r=0.8 According to the regression equation, for a student who gets 85 on the midterm (one standard deviation above average) what is the predicted final exam grade? 83 85 70 75

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What mean physical health score would you expect in a group of 28-year-old women with a graduate degree?