(Extra credit) 14. Let X denote the number of times a control machine malfunctions: 1, 2, 3 on any given day. Let Y denote the number of times a technician is called on an emergency call. The joint distribution of X and Y are: f(x,y)LI. _1 2_ .04 .06 .10 .06 .12 .32 .00 .20 .10 a) Fill in the blanks for the marginal probabilities b) Find P(x = 2 | y =3) = c) Find the correlation coefficient ray between variable x and y. Show steps

call: Researchers measured the percent 1m(formula = Symptoms - wear_mask, data - some_states) of people in 25 states who ʻknew someone with COVID symptoms' (ŷ) and regressed this on the percent of the population frequently wearing a mask in public (x). Residuals: Min -7.9167 -2.3306 -0.2469 2.5020 7. 3345 10 Median 30 Маx coefficients: (Intercept) 111.0981 wear_mask Estimate std. Error t value Pr (>|t|) 10. 5423 10. 538 2.82e-10 *** -8. 375 1. 94 e-08 *** -1.0419 0.1244 signif. codes: 0 ****' 0.001 ***' 0.01 **' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.859 on 23 degrees of freedom Multiple R-squared: 0.7531, F-statistic: 70.15 on 1 and 23 DF, p-value: 1.936e-08 Adjusted R-squared: 0.7423 If 75 percent of people in a state wear masks regularly, what % of people does this model predict will know someone with COVID symptons? 1) 32 2) 33 3) 34 4) 35

A correlation coefficient should be used when the independent and dependent variable are measured as categorical nominal ordinal continuous

The following table was generated from the sample data of 10 newborn babies regarding the weight of the mother at birth, the weight of the father at birth, and the weight of the baby at birth. The dependent variable is the weight of the baby, the first independent variable (x)) is the mother's weight, and the second independent variable (x2) is the father's weight. Coefficients Standard Error t-Stat p-value Intercept 9.739264 1.337045 7.284173 0.000165 Mother's Weight -0.929448 0.137340 - 6.767476 0.000261 Father's Weight 0.717791 0.159475 4.500951 0.002795 Copy Data Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Answer E Tables E Keypad How to enter your answer (opens in new window) Keyboard Shortcuts X + X2