A regression model relating x , number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following regression output. Where n-total=34. ANOVA
df SS MS F Significance F
Regression 6,786.3
Residual
Total 9,062.7

Coefficients Standard Error t Stat P-value
Intercept 70.0 11.879
Number of Salespersons 58.0 5.250

Required:
a. Write the estimated regression equation (to whole number).
b. Compute the F statistic and test the significance of the relationship at a level of significance.

step-by-step explanation:

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.