Give the numerical values to four decimal places.) State 4th grade (1996) 8th grade (2000) Arizona 15 24 California 11 21 Hawaii 16 19 Montana 22 40 New Mexico 13 16 Oregon 21 35 Utah 23 29 Wyoming 19 28

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Please answer the all 3 subparts Height (in feet) Stories 1050 55 428 27 362 26 529 40 790 60 401 22 380 38 1454 110 1127 100 700 46   Part (c) Calculate the least squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.)   Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.)r =    Part (e) Find the estimated height for 34 stories. (Use your equation from part (c). Round your answer to one decimal place.)  ftFind the estimated height for 92 stories. (Use your equation from part (c). Round your answer to one decimal place.)

Based on data taken from airline fares and distances One of the flights was 350 miles and its residual was - flown, it is determined that the equation of the least- 105.00. What was the fare for this flight? squares regression line is ŷ = 102.50+ 0.65x, where y is the predicted fare and x is the distance, in miles. $102.50 $435.00 $225.00 $330.00

TEACHER We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef Constant 315.54 28.31 11.24 0.002 Elevation -28.950 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.2% Notice that "Elevation" is listed under "Predictor." This means that elevation is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation ŷ = a + bx. (a) Use the printout to write the least-squares equation. %3D (b) For each 1000-foot increase in elevation, how many fewer frost-free days…

In linear analysis, what is meant by the "best fitting" or "least squares" line? Choices: A: of all possible lines, the line with the steepest slope B. The line that minimizes the differences between the actual values of y and the predicted values of y  C. of all possible lines, the line with the flattest slope  D. the line that minimizes the differences between actual values of y and the mean value of y

Percentages of public school students in fourth grade in 1996 and in eighth grade in 2000 who were at or above the proficient level in mathematics are given for eight western states. Find the equation of the least-squares line that summarizes the relationship between x = 1996 fourth-grade math proficiency percentage and y = 2000 eighth-grade math proficiency percentage. (Give the numerical values to four decimal places.) |4th grade 8th grade (1996) State (2000) Arizona 16 19 California 12 16 Hawaii 17 14 Montana 23 35 New Mexico 14 11 Oregon 22 30 Utah 24 24 Wyoming 20 23 n USE SALT ŷ =

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 234 pounds? 166 203 234 154 256 - 0o 150 160 170 180 | 190 200 210 220 230 240 250 260 270 00 Weight (in pounds)

The cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces) Cost ($) 16 3.59 32 4.39 64 5.19 200 10.19 Calculate the least squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.)ŷ =  +  x

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Stories (x) Height (y) 56 1050 29 428 26 362 40 529 60 790 22 401 38 380 110 1454 100 1127 46 700 Calculate the least squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.)ŷ =  +  x

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Stories (x) Height (y) 59 1050 29 428 25 362 40 529 60 790 22 401 38 380 110 1454 100 1127 46 700 Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) ŷ = + X