12. Regression

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(A\right)$ Get the regression readout and create a residual plot with the data. Is correlation positive or negative?

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(B\right)$ Find $r$.

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(C\right)$ Find $R^2$.

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(D\right)$ Find $s_e$.

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(E\right)$ Find the equation for the regression line.

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(F\right)$ Create a 99% CI for the $y$-intercept of the regression line.

The creators of a program that promises to improve typing speed collect data on the time spent on the program (in hrs) and typing speed (in wpm) of a random sample of 25 users to see if there is linear correlation between the two variables. Use the Data Analysis Toolpak to answer the questions below.

$\left(G\right)$ If you performed a 2-tailed hypothesis test for $\beta$, the slope of the pop. regression line, what would the test statistic be? What would the $P$-value be? Can we conclude that the two variables are linearly correlated?