Use the least squares method to develop the estimated regression equation.

Complete the formulas that relate to price and the CPL. $CPI _{current \ year}$ = _______

Refer to the U.S. defense budget outlay regression estimated in Exercise 7.18.

a. Comment generally on the estimated regression results.

b. Set up the ANOVA table and test the hypothesis that all the partial slope coefficients are zero.

Use an equation to express a least-squares regression line. Interpret each term in the equation.

Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer. indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater ($thousands) on the weekend a movie opened for 10 movies:$

$$\begin{array}{lcc} \text { Movie } & \text { Tomatometer Rating } & \text { Receipts } \\ \hline \text { The Mummy } & 16 & 7.8 \\ \text { Zookeeper's Wife } & 61 & 6.1 \\ \text { Beatriz at Dinner } & 80 & 28.4 \\ \text { The Hero } & 76 & 11.3 \\ \text { Wonder Woman } & 93 & 24.8 \\ \text { Baby Boss } & 52 & 13.3 \\ \text { The Circle } & 15 & 2.9 \\ \text { Dean } & 61 & 4.0 \\ \text { Baywatch } & 20 & 5.1 \\ \text { Churchill } & 38 & 1.9 \end{array}$$

$ Predict the mean receipts for a movie that has a Tomatometer rating of 55%.

Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal.

| | Coeffieients Standard Error | t Stat | P-value | | :--- | ---: | ---: | ---: | :---: | | Intercept | 6.1092 | 0.9361 | | | Usage | 0.8951 | 0.149 | |

a. Write the estimated regression equation.

b. Use a t test to determine whether monthly maintenance expense is related to usage at the .05 level of significance.

c. Did the estimated regression equation provide a good fit? Explain.

Consider the following pairs of observations:

b. Use the least squares method to fit a straight line to the seven data points in the table.

Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer. indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater ($thousands) on the weekend a movie opened for 10 movies:$

$$\begin{array}{lcc} \text { Movie } & \text { Tomatometer Rating } & \text { Receipts } \\ \hline \text { The Mummy } & 16 & 7.8 \\ \text { Zookeeper's Wife } & 61 & 6.1 \\ \text { Beatriz at Dinner } & 80 & 28.4 \\ \text { The Hero } & 76 & 11.3 \\ \text { Wonder Woman } & 93 & 24.8 \\ \text { Baby Boss } & 52 & 13.3 \\ \text { The Circle } & 15 & 2.9 \\ \text { Dean } & 61 & 4.0 \\ \text { Baywatch } & 20 & 5.1 \\ \text { Churchill } & 38 & 1.9 \end{array}$$

$ Should you use the model to predict the receipts for a movie that has a Tomatometer rating of 5%? Why or why not?

Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer, indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater ($thousands) on the weekend a movie opened for ten movies:$

$$\begin{array}{lcc} \text { Movie } & \text { Tomatometer Rating } & \text { Receipts } \\ \hline \text { The Mummy } & 16 & 7.8 \\ \text { Zookeeper's Wife } & 61 & 6.1 \\ \text { Beatriz at Dinner } & 80 & 28.4 \\ \text { The Hero } & 76 & 11.3 \\ \text { Wonder Woman } & 93 & 24.8 \\ \text { Baby Boss } & 52 & 13.3 \\ \text { The Circle } & 15 & 2.9 \\ \text { Dean } & 61 & 4.0 \\ \text { Baywatch } & 20 & 5.1 \\ \text { Churchill } & 38 & 1.9 \end{array}$$

$Should you use the model to predict the receipts for a movie that has a Tomatometer rating of$5 \%$ ? Why or why not?

Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer. indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater ($thousands) on the weekend a movie opened for 10 movies:$

$$\begin{array}{lcc} \text { Movie } & \text { Tomatometer Rating } & \text { Receipts } \\ \hline \text { The Mummy } & 16 & 7.8 \\ \text { Zookeeper's Wife } & 61 & 6.1 \\ \text { Beatriz at Dinner } & 80 & 28.4 \\ \text { The Hero } & 76 & 11.3 \\ \text { Wonder Woman } & 93 & 24.8 \\ \text { Baby Boss } & 52 & 13.3 \\ \text { The Circle } & 15 & 2.9 \\ \text { Dean } & 61 & 4.0 \\ \text { Baywatch } & 20 & 5.1 \\ \text { Churchill } & 38 & 1.9 \end{array}$$

$Interpret the meaning of$b_0$and$b_1$ in this problem.

Given are five observations for two variables, x and y.

$$\begin{matrix} x_i & \text{1} & \text{2} & \text{3} & \text{4} & \text{5}\\ \hline y_i & \text{3} & \text{7} & \text{5} & \text{11} & \text{14}\\ \end{matrix}$$

Develop a scatter diagram for these data.

Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer, indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater ($thousands) on the weekend a movie opened for ten movies:$

$$\begin{array}{lcc} \text { Movie } & \text { Tomatometer Rating } & \text { Receipts } \\ \hline \text { The Mummy } & 16 & 7.8 \\ \text { Zookeeper's Wife } & 61 & 6.1 \\ \text { Beatriz at Dinner } & 80 & 28.4 \\ \text { The Hero } & 76 & 11.3 \\ \text { Wonder Woman } & 93 & 24.8 \\ \text { Baby Boss } & 52 & 13.3 \\ \text { The Circle } & 15 & 2.9 \\ \text { Dean } & 61 & 4.0 \\ \text { Baywatch } & 20 & 5.1 \\ \text { Churchill } & 38 & 1.9 \end{array}$$

$Interpret the meaning of$b_0$and$b_1$ in this problem.

Refer to the 2016 Baseball Data, which provides details on the 30 Major League Baseball teams. Create a scatter plot with the variable wins on the vertical axis.

Given are five observations collected in a regression study on two variables.

a. Develop a scatter diagram for these data.

b. Develop the estimated regression equation for these data.

c. Use the estimated regression equation to predict the value of y when x=6.