a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of signicance. Give each of the following for part b to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You W show your work to receive full credit. Partial credit is available. Either 1. upload an image or pdf with your handwritten work or 2. upload an Excel le with your work in Excel. Refer to the instructions at the beginning of the quiz. If the instructions are not followed, you will receive a 0 for this question. of Total Stay Charge ID (x) (y) 1 5 6 2 7 5 3 9 7.2 4 1O 8 5 12 9.4 6 15 7.9 What type of correlation does this scatter plot depict? Total Fat (9) 100 80 60 4o 20 200 400 600 300 1000 1200 1400 Calories I No association 0 Negative Correlation .A. Positive Correlation A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation: y-hat = 6 + 0.1x, where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Yvette worked 10 hours and slept 8 hours. What is Yvette's residual? One concern about the depletion of the ozone layer is that the increase in UV light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV levels - measured in Dobson units (du.). At the end of the experiment the yield (kg) was measured. A regression analysis was performed with the following results: Parameter Estimates Term Estimate Std Enor t Ratio Probalti Lower 95% Upper 95% Intercept 3.98001 18 0.053774 74.01 <.0001 uv hidden which of the following is not correct fitted regression line approximately y-hat="3.98-.046(uv)" slope o for every unit increase in light estimated crop yield decreases by .046. there good evidence that a relationship between and yields.a surgery intern has conducted study sleeping habits her colleagues developed equation: y="6" where x number hours working on one shift at night after shift. each work analyzed was long. all statements about equation are true except hour interns slept an additional minimum amount sleep would get maximum question pts beers consumed blood alcohol content studied male college students using least squares regression. obtained from this study: above implies that: consuming beer equals .0180. increases average it takes to .01 .0127 linear determined as follows: bx e. match description below with appropriate characteristic. dependent variable independent intercept coefficient b error e>