A doctor wanted to determine whether there is a relation between a​ male's age and his HDL​ (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table below. Complete parts​ (a) through​ (f) below.         Age vs. HDL Cholesterol data ​Age, x HDL​ Cholesterol, y ​Age, x HDL​ Cholesterol, y   3838 5555 4040 4343   4141 5454 6767 6464   4747 3535 2929 5353   3232 5656 5050 3737   5454 3434 2626 4444   5252 3939 5151 3636   6060 4444 4747 5353   6161 3838 4040 2828   2626 4949       PrintDone view the data obtained by the doctor.   obtained by the doctor is the in the data table below. Complete parts​ (a) through​ (f) below.   LOADING... Click the icon to view the data obtained by the doctor. ​(a) Draw a scatter diagram of the​ data, treating age as the explanatory variable. What type of​ relation, if​ any, appears to exist between age and HDL​ cholesterol?     A. The relation appears to be nonlinear.   B. There does not appear to be a relation. Your answer is correct.   C. The relation appears to be linear. ​(b) Determine the​ least-squares regression equation from the sample data.   ModifyingAbove y with caret equalsy=negative  ​(Round to three decimal places as​ needed.)   ​(c) Are there any outliers or influential​ observations?     No Your answer is correct.   Yes ​(d) Assuming the residuals are normally​ distributed, test whether a linear relation exists between age and HDL cholesterol levels at the alphaαequals level of significance.   What are the null and alternative​ hypotheses?     A. Upper H 0H0​: beta 1β1equals=​0; Upper H 1H1​: beta 1β1greater than>0   B. Upper H 0H0​: beta 1β1equals=​0; Upper H 1H1​: beta 1β1less than<0   C. Upper H 0H0​: beta 1β1equals=​0; Upper H 1H1​: beta 1β1not equals≠0 Your answer is correct. Use technology to compute the​ P-value. Use the Tech Help button for further assistance.   The​ P-value is 0.5700.570. ​(Round to three decimal places as​ needed.) What conclusion can be drawn at alphaαequals= level of​ significance?     A. RejectReject the null hypothesis because the​ P-value is greatergreater than alphaαequals   B. RejectReject the null hypothesis because the​ P-value is lessless than alphaαequals=   C. Do not rejectDo not reject the null hypothesis because the​ P-value is lessless than alphaαequals=   D. Do not rejectDo not reject the null hypothesis because the​ P-value is greatergreater than alphaαequals=0.010.01. Your answer is correct. ​(e) Assuming the residuals are normally​ distributed, construct a​ 95% confidence interval about the slope of the true​ least-squares regression line.   Lower Bound equals= negative 0.554−0.554 Upper Bound equals= 0.3170.317 ​(Round to three decimal places as​ needed.) ​(f) For a​ 42-year-old male patient who visits the​ doctor's office, would using the​ least-squares regression line obtained in part​ (b) to predict the HDL cholesterol of this patient be​ recommended?   If the null hypothesis was​ rejected, that means that this​ least-squares regression line can accurately predict the HDL cholesterol of a patient. If the null hypothesis was not​ rejected, that means the​ least-squares regression line cannot accurately predict the HDL cholesterol of a patient. Should this​ least-squares regression line be used to predict the​ patient's HDL​ cholesterol? Choose the correct answer below.     A. ​Yes, because the null hypothesis was rejected.   B. ​No, because the null hypothesis was rejected.   C. ​Yes, because the null hypothesis was not rejected.   D. ​No, because the null hypothesis was not rejected. Your answer is correct. A good estimate for the HDL cholesterol of this patient is   ​(Round to two decimal places as​ needed.)

The mode for the data : 22,17,18,25,22,52,27,33 is equal to

The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in 11 metropolitan areas across the upper Midwest region (OthioGasPrices.com website, March 18, 2012). Click on the datalile logo to reference the data. DATA File Metropolitan Area Shl BP Marathon 3.78 3.87 Akron. Ohio Cincionati, Ohio Cleveland. Ohio Columbun, Ohio Wayne, Indiana Indianapolis, Indiana Lasing. Michigan Lexington, Kentucky Louisvile. Kennacky Muncie, Indiana 3.77 3.72 3.57 1.76 3.83 3.89 3.79 3.87 3.87 3.77 3.84 3.84 404 3.78 3.84 3.84 3.83 3.83 3.85 3.93 3.79 3.78 3.81 3.99 3.79 3.79 3.86 3.86 Toledo, Ohio 3.69 Use a = .05 to test for any significant difference in the mean price of gasoline for the three brands. If required, round your answers to four decimal places. If your answer is…

This data type data is non-numbers, OR numbers that do not represent quantities.