A regression analysis between sales (in thousands of dollars) and advertising (in hundreds of dollars) resulted in the following least squares line: ˆy = 75 + 6x. This implies that if advertising is 800 dollars, then the predicted amount of sales (in dollars) is:

For this case we have the following model given :

And we know that y represent the sales (in thousands of dollars) and x the advertising (in hundreds of dollars) . And for this case we can use x =800/100=8 and replacing we got:

That would be the predicted value for sales in dollars would be 123*1000= 123000

Step-by-step explanation:

For this case we have the following model given :

And we know that y represent the sales (in thousands of dollars) and x the advertising (in hundreds of dollars) . And for this case we can use x =800/100=8 and replacing we got:

That would be the predicted value for sales in dollars would be 123*1000= 123000

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°