asked 2021-05-25

asked 2021-01-10

After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be \(\displaystyle\mu_{{0}}={105}+{4.2}{x}\ \text{with}\ \sigma={7}{c}{m}\).

About what percent of 15-year-old students at this school are taller than 180 cm?

asked 2020-11-10

Using the health records of ever student at a high school, the school nurse created a scatterplot relating \(\displaystyle{y}=\ \text{height (in centimeters) to}\ {x}=\ \text{age (in years).}\)

\(\displaystyle\text{After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be}\ \mu_{{{0}}}={105}\ +\ {4.2}{x}\ \text{with}\ \sigma={7}\ {c}{m}.\) About what percent of 15-year-old students at this school are taller than 180 cm?

\(\displaystyle\text{After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be}\ \mu_{{{0}}}={105}\ +\ {4.2}{x}\ \text{with}\ \sigma={7}\ {c}{m}.\) About what percent of 15-year-old students at this school are taller than 180 cm?

asked 2021-06-23

Some high school physics students dropped a ball and measured the distance fallen (in centimeters) at various times (in seconds) after its release. If you have studied physics, you probably know that the theoretical relationship between the variables is distance \(=490(time)^2.\) Which of the following scatter-plots would not approximately follow a straight line?

(a) A plot of distance versus \(time^2\)

(b) A plot of radic distance versus time

(c) A plot of distance versus radic time

(d) A plot of \(\ln\)(distance) versus \(\ln(time)\)

(e) A plot of \(\log\)(distance) versus \(\log(time)\)

asked 2021-05-22

At a family reunion, each family member recorded his or her age and height. a. Fully describe the association. b. Copy the scatterplot and draw the trend line. Does your y-intercept make sense in this problem situation?

asked 2021-07-04

Using the daily high and low temperature readings at Chicago's O'Hare International Airport for an entire year, a meteorologist made a scatterplot relating y = high temperature to x = low temperature, both in degrees Fahrenheit.

After verifying that the conditions for the regression model were met, the meteorologist calculated the equation of the population regression line to be \(\left[\mu_y=16.6+1.02\right] with \left[\sigma = 6.6+^\circ F\right]\)

If the meteorologist used a random sample of 10 days to calculate the regression line instead of using all the days in the year, would the slope of the sample regression line be exactly 1.02? Explain your answer.

asked 2021-02-03

a. Draw a scatterplot of y versus x.

b. The equation of the least-squares line is 0.45x. Draw this line on your scatterplot. Do there appear to be any large residuals?

c. Compute the residuals, and construct a residual plot. Are there any unusual features in the plot?

\(\begin{array}{|c|c|}\hline x & 40 & 50 & 60 & 70 & 80 & 90 & 100 \\ \hline y & 58 & 34 & 32 & 30 & 28 & 27 & 22 \\ \hline \end{array}\)

\(\displaystyle{\left[\hat{{{y}}}={64.50}\right]}\).