Question

asked 2021-01-13

\(\begin{array}{|c|c|}\hline x & 2761 & 19764 & 25713 & 3980 & 12782 & 19008 & 19028 & 14397 & 9606 & 3905 & 25731 \\ \hline y & 1553 & 14999 & 32813 & 1667 & 8741 & 16526 & 26770 & 16526 & 9868 & 6640 & 1220 & 30730 \\ \hline \end{array}\)

Here is Minitab output from fitting the simple linear regression model. Does the model appear to specify a useful relationship between the two variables?

\(\begin{array}{|c|c|}\hline \text{Predictor Coef SE Coef T P Constant} & -5090 & 2257 & -2.26 & 0.048 \\ \hline \text{Pressure} & 1.2912 & 0.1347 & 9.59 & 0.000 \\ \hline \end{array}\)

\([S=3679.36, R-Sq = 90.2\%, R-Sq(adj)=89.2\% ]\).

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?

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

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

asked 2021-06-08

When a correlation value is reported in research journals, there often is not an accompanying scatterplot. Explain why reported correlation values should be supported with either a scatterplot or a description of the scatterplot.

asked 2020-12-05

Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?

The table li sts che t sizes (di stance around chest in inches) and weights (pounds) of anesthetized bears that were measured.

\(\begin{array}{|c|c|}\hline \text{Chest(in.)} & 26 & 45 & 54 & 49 & 35 & 41 & 41 \\ \hline \text{Weight(lb)} & 80 & 344 & 416 & 348 & 166 & 220 & 262 \\ \hline \end{array}\)