A box office analyst seeks to predict opening weekend box office gross for movies. Toward this$$ goal, the analyst plans to use YouTube trailer views as a predictor. For each of the $65$movies$,$ the YouTube trailer view$$ count, the number of YouTube trailer views from the release of the trailer through the Saturday before a movie$$ opens, and the opening weekend box office gross$($in $millions$)$ are collected and stored in the accompanying table. Complete parts$($a$)$ through$($e$)$ below.

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Part $1$

a$.$ Construct a scatter plot. Choose the correct graph below.

A$.$

$0$

$100$

$0$

$200$

Trailer Views $($mil$)$

Opening Gross $($$mil$)$

A scatter plot has a horizontal axis labeled Trailer Views in millions from $0$ to $100$ in increments of $10$ and a vertical axis labeled Opening Gross in millions of dollars from $0$ to $200$ in increments of $20.65$ plotted points follow the general pattern of a line segment that rises from left to right from $(8,2)$ to $(6,4).$ Most points are within $20$ vertical units of the overall pattern. All coordinates are approximate.

B$.$

$0$

$100$

$0$

$200$

Trailer Views $($mil$)$

Opening Gross $($$mil$)$

A scatter plot has a horizontal axis labeled Trailer Views in millions from $0$ to $100$ in increments of $10$ and a vertical axis labeled Opening Gross in millions of dollars from $0$ to $200$ in increments of $20.65$ plotted points follow the general pattern of a line segment that rises from left to right from $(0,1)$ to $(57,88),$ before following the general pattern of a line segment that rises from left to right at a sharper rate to $(59,103).$ The points $(80,147)$ and $(84,175)$ are also plotted. All coordinates are approximate.

C$.$

$0$

$200$

$0$

$100$

Opening Gross $($$mil$)$

Trailer Views $($mil$)$

A scatter plot has a horizontal axis labeled Opening Gross in millions of dollars from $0$ to $200$ in increments of $20$ and a vertical axis labeled Trailer Views in millions from $0$ to $100$ in increments of $10.65$ plotted points follow the general pattern of a line segment that rises from left to right from $(1,0)$ to $(88,57),$ before following the general pattern of a line segment that rises from left to right at a gentler rate to $(103,59).$ The points $(147,80)$ and $(175,84)$ are also plotted. All coordinates are approximate.

D$.$

$0$

$200$

$0$

$100$

Opening Gross $($$mil$)$

Trailer Views $($mil$)$

A scatter plot has a horizontal axis labeled Opening Gross in millions of dollars from $0$ to $200$ in increments of $20$ and a vertical axis labeled Trailer Views in millions from $0$ to $100$ in increments of $10.65$ plotted points follow the general pattern of a line segment that rises from left to right from $(2,8)$ to $(4,6).$ Most points are within $10$ vertical units of the overall pattern. All coordinates are approximate.

Part $2$

b$.$ Assuming a linear$$ relationship, use the$$ least$-$squares method to determine the regression coefficients b $0$ and b $1.$

b $0$equals

$$

enter your response here

b $1$equals

$$

enter your response here

$($Round the value of b $0$ to two decimal places as needed. Round the value of b $1$ to three decimal places as$$ needed.$)$

Part $3$

c$.$ Interpret the meaning of the$$ slope, b $1,$ in this problem. Select the correct choice below and fill in the answer box to complete your choice.

$($Round to three decimal places as$$ needed.$)$

A$.$

For each increase in opening weekend box office gross of$$ $$1$ million, the number of YouTube trailer views is expected to increase by

$$

enter your response here million.

B$.$

For each increase of $1$ million YouTube trailer$$ views, the predicted opening weekend box office gross is expected to increase by $$$

$$

enter your response here million.

C$.$

The approximate predicted opening weekend box office gross when the number of YouTube trailer views is $0$ is $$$

$$

enter your response here million.

D$.$

The approximate YouTube trailer views when the opening weekend box office gross is$$ $$0$ is

$$

enter your response here million.

Part $4$

d$.$ Predict the mean opening weekend box office gross for a movie that had $33$ million YouTube trailer views.

The predicted mean opening weekend box office gross will be $$$

$$

enter your response here million.

$($Round to two decimal places as$$ needed.$)$

Part $5$

e$.$ What insights can be obtained about predicting opening weekend box office gross from YouTube trailer$$ views?

A$.$

As the number of YouTube trailer views$$ increases, the mean opening weekend box office gross can be expected to decrease.

B$.$

As the number of YouTube trailer views$$ increases, the mean opening weekend box office gross can be expected to increase.

C$.$

There is no relationship between the number of YouTube trailer views and the mean opening weekend box office gross.

D$.$

As the mean opening weekend box office$$ increases, the number of YouTube trailer views can be expected to increase.

E$.$

As the mean opening weekend box office$$ increases, the number of YouTube trailer views can be expect