The SAT and ACT exams are often used to predict a student's first-term college grade point average (GPA). Different formulas are used for different colleges and majors. Suppose that a student is applying to a university with an intended major in civil engineering. Also suppose that for this college and this major, the following model is used to predict first term GPA. GPA  =  a + b(ACT) a  =  0.6 b  =  0.2 (a) In this context, what would be the appropriate interpretation of the value of a?   The value of a is the predicted ACT score of a student who has a 0 GPA.   There is not enough information to know how to interpret the value of a.   The value of a represents the change in predicted GPA associated with an increase of 1 in ACT score.   The value of a represents the change in predicted GPA associated with an decrease of 1 in ACT score.   The value of a is the predicted GPA of a student who scored a 0 on the ACT.   (b) In this context, what would be the appropriate interpretation of the value of b?   The value of b represents the change in predicted GPA associated with an decrease of 1 in ACT score.   The value of b is the predicted ACT score of a student who has a 0 GPA.       The value of b represents the change in predicted GPA associated with an increase of 1 in ACT score.   The value of b is the predicted GPA of a student who scored a 0 on the ACT.   There is not enough information to know how to interpret the value of b.

How do I solve c, d, and e with the given data?

HelloFresh and Blue Apron, both meal-kit providers, mail pre-measured ingredients and recipes to its customers so families can enjoy a home-cooked meal without the hassle of planning. The FDA wants to know if the average amount of time between when the meal leaves the packing facility and the time of the delivery of the box to the customer’s doorstep is different between HelloFresh and Blue Apron. Why is this information important for FDA (and customers) to know? How would you collect this data?

You have collected BMI data on a group of 30 college-age females. You are curious to find out how your sample’s average BMI compares to the national average. After a quick Google search, you discover that the national average BMI for college-age females is 22. Which t-test do you run to see if your sample is significantly different from the national average?

The number of pair days off taken by eight employees at a local small business is compared to the national average. You are hired by the business owner, who has been in business for just 18 months, to help her determine what to expect for paid days off. In general, she wants to set some standard for her employees and for herself. Let's assume your search on the internet for data on paid days off leaves you with the impression that the national average is 15 days. The data for the eight local employees during the last fiscal year are: 10, 11, 8, 14, 13, 12, 12, and 27 days.   1. Calculate the appropriate t statistic.  2. Draw a statistical conclusion. 3. Calculate and interpret the effect size.

Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 79 12 Survival rate, y (a) Construct a scatterplot for these data. y 12. 10 O 8 6 20 40 60 91 44 32 6 4 80 100 y 100 80 60 ELL 40 20 2 4 6 8 X 12 10 8 6 4 20 40 60 (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ= Jx 80 100 10 12 (c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of…

Explain what a dummy variable is and how it is used in regression analysis

The first test a doctor would order to determine whether a person is infected with HIV (the virus that causes AIDS) is the ELISA test. It detects antibodies and antigens for HIV. A study in Statistical Science by J. Gastwirth estimated that, if the person is actually infected with HIV, this test produces a positive result 97.7% of the time. If a person is not infected with HIV, the test result is negative 92.6% of the time. According the the US Centers for Disease Control (CDC), an estimated 1.1 million Americans out of a population of 321 million were infected with HIV in 2015. Using the information above, determine the probability that a randomly selected person whose ELISA test is positive actually is infected with HIV? a. What is the probability that a randomly selected American is infected with HIV? b. Using the answer to part (a) and the conditional probabilities of positive and negative ELISA test results, fill out the contingency table below:     ELISA Test Result…

Define Multiple Regression?

Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual 1. Which one of the following statements about the number 40% is correct? A. It is a sample statistic. B. It is a standard error. C. It is a margin of error. D. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. А. Но : р %3D 0.4, Нд : р+0.4 В. Но : р %3D 0.4, На : р 0.4 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 В. 10 C. None of the above D. 20 Е. 77 OF.…