Given the regression output below, what is the linear equation? call: Im(formula - sales - spend, data - dataset) Residuals: Min 1Q Median 3Q 258 1726 мах -3385 -2097 з034 coefficients: Estimate std. Error t value Pr(>[t|) (Intercept) 1383.4714 1255. 2404 1.102 0.296 0.1625 65. 378 1.71e-14 *** Spend 10. 6222 signif. codes: 0 ***** 0.001 ***' 0.01 **' 0.05 '.' 0.1 ·'1 Residual standard error: 2313 on 10 degrees of freedom Multiple R-squared: 0.9977, Adjusted R-squared: 0.9974 F-statistic: 4274 on 1 and 10 DF, p-value: 1.707e-14 Sales = 1,383 + (10.6 * Spend) Sales = 1,255 + (0.16 * Spend) Spend = 1,255 + (0.16 * Sales) O Spend = 1,383 + (10.6 * Sales)

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You are conducting a multiple regression analysis to determine if there is a linear relationship between y, the number of applications to in-state universities and two factors: ×1, the state's unemployment rate and ×2, the average grant provided to in-state students. Ten observations are available. The analysis produced the estimated regression equation below. y = 6.5 + 2.2×1 + 4.6×2 The standard error for the intercept, unemployment rate are 9.34, and 1.23, respectively. Is the coefficient for the unemployment rate variable statistically significant at the 5% significance level? Explain. A) No, since stat = 1.39 for this coefficient, which is less than 2.365. B) No, since the p-value for this coefficient is .072, which is greater than 05 C) None of these D) No, since the p-value for this coefficient is .072, which is greater than .05

Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yˆy^.   hour studyings 1 2 4 5 6  midterm grades 62 65 73 75  81

8.6 Cherry Trees: Timber yield is approximately equal to the volume of a tree, however, this value is dilfficult to measure without fiOrst cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield. Researchers wanting to understand the relationship between these variables for black cherry trees collected data from 31 such trees in the Allegheny National Forest, Pennsylvania. Height is measured in feet, diameter in inches (at 54 inches above ground), and volume in cubic feet. (Hand, 1994) Estimate Std. Error t value P(>|t|) (Intercept) -57.99 8.64 -6.71 0.00 height 0.34 0.13 2.61 0.01 diameter 4.71 0.26 17.82 0.00 (a) Write the regression model (please do not round coefficients): Ey = + 7. height + diameter (b) Keeping diameter constant, how much additional volume should we expect from an average tree if height is increased by 1 foot? cubic feet (c) Are each of the predictors, "height" and "diameter" significant…

A researcher knows that people with higher annual salaries commit fewer crimes. He is creating a regression model to predict the number of crimes a person will commit based on their salary Based on this information alone which of the following MUST be the slope of the regression line choose one 1.00 or 0.50 or -0.50

Height Weight GPA Study TV Computer FamilySz Floors stairs friends female Acctg Mgmt Mktg Fin IntBus Other 67 138 4 6 2 1. 2 26 6. 1 73 175 3.47 5 4 26 1 62 112 4 6 2 1. 4 34 3 1 1. 64.5 122 3.5 3.4 1. 3 47 4 1 1. 69 135 4 4 2 4 13 1. 61 129 3.8 4 2 3 5 17 1. 1. 64 135 3.4 3 2 5 1. 1 1. 68 150 4 10 1 4 2 31 4 1 1 70 130 3.8 4 1 2 4 2 26 8. 1 65 172 3.6 2.5 1.5 0.5 4 2 26 8. 1 74 235 2.6 1. 1. 1. 4 3 52 1. 69 150 3 2 3 3 4 3 26 1. 72 152 2.8 2.5 0.5 3 5 3 30 10 1. 73 155 3 1. 2 4 2 26 1 74 170 3.75 1.5 1.5 2 15 5 1. 68 150 3 2.5 1. 4 3 26 10 1 63 115 2.5 3 2.5 3 2 13 8 1. 1 71 180 2.1 1 3 3 4 13 10 1 72 167 2.7 2. 4 4 2 18 3 72 180 3.8 2 1.5 0.5 1. 300 68.575 152.6 3.341 3.395 1.55 1.75 4.1 2.2 38.25 5.8 s= 4.146257 28.65842 0.584798 2.137257 0.759155 1.409554 0.640723 0.695852 62.7215 2.587419 ------ ---- ----- ----- ----- ----- ---- ----- ----- ----- ----- ------ ----- ---- ---- --

The regression equation to predict the total world gross ticket sales from the opening weekend ticket sales is:    WorldGross^=9.23+6.87⋅OpeningWeekend   Is the interpretation for the y-intercept meaningful in this context? Explain your answer in one or two sentences.

X₁ is the The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = -51.2 +0.4x₁ + 4.8x2, where tree's height (in feet) and x₂ is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x₁ = 73, x₂ = 8.8 (b) x₁ = 67, x₂ = 11.5 (c) x₁ = 85, x₂ = 17.6 (d) x₁ = 92, x₂ = 20.8 cubic feet. (a) The predicted volume is (Round to one decimal place as needed.) (b) The predicted volume is cubic feet. (Round to one decimal place as needed.) (c) The predicted volume is cubic feet. (Round to one decimal place as needed.) (d) The predicted volume is cubic feet. (Round to one decimal place as needed.) Next

A researcher studying the relationship between drivers’ average speed (MPH) on the highway and number of moving violations they receive develops the following regression equation: Y` = 1.85 + .05(X). In this example, 1.85 refers to ______. Group of answer choices the slope of the equation the Y-intercept a driver’s number of moving violations a driver’s average speed (MPH)