The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift Distance a. Find the explained variation. 0.0237 0.34 (Round to six decimal places as needed.) 0.0541 0.75 0.0723 0.98 0.0397 0.57 0.0444 0.62 0.0103 0.13 D

A professor obtains SAT scores and freshman grade point averages (GPA) for a group of n=15 college students. The SAT scores have a mean of M=580 with SS=22,400, and GPA has a mean of 3.10 with SS=1.26, and SP=84.c. Does the regression equation account for a significant portion of the variance in GPA? Use ?=.05α=.05 to evaluate the F-ratio.

Claim: The mean systolic blood pressure of all healthy adults is less than 122 mm Hg. Sample data: For 269 healthy adults, the mean systolic blood pressure level is 121.74 mm Hg and the standard deviation is 15.02 mm Hg. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult.

The data shown below are the initial weights and gains in weight (in grams) of female rats on a high protein diet from 24 to 84 days of age. The point of interest in these data is whether the gain in weight is related to (dependent on) the initial weight. If so, then feeding experiments on female rats can be made more precise by adjusting for differences in initial weights of the rats. Statistically test this with a regression analysis.   Rat Number Initial Weight (gms) Weight Gain (gms) 1 50 128 2 64 159 3 76 158 4 64 119 5 74 133 6 60 112 7 69 96 8 68 126 9 56 132 10 48 118 11 57 107 12 59 106 13 46 82 14 45 103 15 65 104 I used excel's regression took pak and got the following:  SUMMARY OUTPUT                                 Regression Statistics               Multiple R 0.489416452               R Square 0.239528464               Adjusted R Square 0.181030653               Standard Error 8.869929833               Observations 15…

The accompanying table lists systolic blood pressures (mm Hg) and diastolic blood pressures (mm Hg) of adult females. Find the (a) explained variation, (b) unexplained variation, and (c) prediction interval for a systolic blood pressure of 120 mm Hg using a 99% confidence level. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Click the icon to view the blood pressure data. Blood Pressures a. The explained variation is 650 (Round to two decimal places as needed.) b. The unexplained variation is (Round to two decimal places as needed.) Systolic Diastolic 126 69 102 67 128 75 107 63 c. The 99% prediction interval for a systolic bloo (Round to one decimal place as needed.) 156 74 95 52 154 89 110 71 120 69 116 75 103 60 126 69 Print Done X

The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. D Redshift Distance 0.0237 0.32 0.0545 0.75 0.0724 1.02 0.0397 0.56 0.0442 0.61 0.0103 0.16 a. Find the explained variation. (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. billion light-years

Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 8 15 22 28 31 33 Temperature 56 39 24 - 28 - 41 - 60 a. Find the explained variation. (Round to two decimal places as needed.)

Section 10.3 Question #6 Listed below are altitudes​ (thousands of​ feet) and outside air temperatures​ (°F) recorded during a flight. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a​ 95% confidence level with the altitude of 6327 ft​ (or 6.327 thousand​ feet).   Altitude 4 11 14 20 28 31 34   Temperature 55 39 26 −2 −34 −41 −59       a. Find the explained variation. ______________ (Round to two decimal places as​ needed.)   b. Find the unexplained variation. _______________ (Round to five decimal places as​ needed.)   c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as​ needed.)

The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence leve with a redshift of 0.0126. Redshift Distance 0.0231 0.31 a. Find the explained variation. 0.0536 0.77 (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. 0.0716 0.0395 1.01 0.53 billion light-years

QUESTION 5 A hospital analyzed, for several randomly selected employees, the relationship between the employee's annual and the distance the employee must travel between home and work (in 10s of miles). The regression analysis sh -50.40. What is the sample correlation? a. -0.9073 b. None of the answers is correct C. -0.8256 d. -0.9525 e. -0.8871 QUESTION 6 Dep.=Annual Sales Indep.=Salespersons SUMMARY OUTPUT Regression Statistics Multiple R Click Save and Submit to save and submit. Click Save All Answers to save all answers. MacBook 000 D00 F4